Paper Citation Record · LEDGER

Divergence Inequalities with Applications in Ergodic Theory

As of 16 August 2026, this Paper Citation Record lists 90 of 90 outbound references and 2 inbound Pith citation observations for arXiv:2411.17241.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2411.17241 v3

Coverage vector

measured 90 of 90 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:38:04.840089Z

measured 92 of 92 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T03:41:39.786135Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T14:29:54.145102Z

Reference resolution

90 of 90 outbound references displayed

verified exact3
verified fuzzy68
unresolved17
parse uncertain0
malformed identifier2
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6484c1dc-80e3-4320-91da-8d3847622f9d · outbound

This paper cites A mathematical theory of communication.

Divergence Inequalities with Applications in Ergodic Theory A mathematical theory of communication

Reference 1

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Observation 1c6229ec-3fcb-4625-9840-e87c8a39dd82 · outbound

This paper cites Data processing theorems and the second law of thermodynamics.

Divergence Inequalities with Applications in Ergodic Theory Data processing theorems and the second law of thermodynamics

Reference 2

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Source-reported events for the cited work

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Observation 6c0d3d28-6c44-41b3-b91d-3f1f8cad2994 · outbound

This paper cites On information-type measure of differen ce of probability distributions and indirect observations.

Divergence Inequalities with Applications in Ergodic Theory On information-type measure of differen ce of probability distributions and indirect observations

Reference 3

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Observation cdd07a38-6b63-4de3-87d4-f4eb38f383b8 · outbound

This paper cites Expectations and entropy inequalitie s for ﬁnite quantum systems.

Divergence Inequalities with Applications in Ergodic Theory Expectations and entropy inequalitie s for ﬁnite quantum systems

Reference 4

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Observation 2f2747c2-8d54-4316-9e8f-559c30f5f1b6 · outbound

This paper cites Quasi-entropies for ﬁnite quantum systems.

Divergence Inequalities with Applications in Ergodic Theory Quasi-entropies for ﬁnite quantum systems

Reference 5

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Observation b9c6c446-23d3-4dce-a285-e96ed3942197 · outbound

This paper cites Sandwiched R´ enyi divergence satisﬁes da ta processing inequality.

Divergence Inequalities with Applications in Ergodic Theory Sandwiched R´ enyi divergence satisﬁes da ta processing inequality

Reference 6

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Observation fed81fd0-418a-481a-9f7b-3eeda6420900 · outbound

This paper cites Quantum Information Processing with Finite Resources.

Divergence Inequalities with Applications in Ergodic Theory Quantum Information Processing with Finite Resources

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T12:38:04.638890Z

Source-reported events for the cited work

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Observation d0a9698d-4ae7-4ea0-afc3-a5793eb8a9b2 · outbound

This paper cites Entropy and relative en tropy from information-theoretic principles.

Divergence Inequalities with Applications in Ergodic Theory Entropy and relative en tropy from information-theoretic principles

Reference 8

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Source-reported events for the cited work

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Observation 532c21d6-8949-4c27-9eaa-0feb8f1e8ecb · outbound

This paper cites Cover and Joy A.

Divergence Inequalities with Applications in Ergodic Theory Cover and Joy A

Reference 9

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Source-reported events for the cited work

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This paper cites Quantum information theory.

Divergence Inequalities with Applications in Ergodic Theory Quantum information theory

Reference 10

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Observation 3677b7ce-e21f-4c39-8a4c-e95bdc3f9c08 · outbound

This paper cites Principles of Quantum Communication Theory: A Modern Approach.

Divergence Inequalities with Applications in Ergodic Theory Principles of Quantum Communication Theory: A Modern Approach

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T12:38:04.648786Z

Source-reported events for the cited work

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Observation 2497c3f7-6361-42fe-8244-1d9a65bee673 · outbound

This paper cites Information Theory: From Coding to Learning.

Divergence Inequalities with Applications in Ergodic Theory Information Theory: From Coding to Learning

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T12:38:04.651586Z

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Observation f9d42344-f199-45b2-8e63-584cb5967a85 · outbound

This paper cites f -divergence inequalities.

Divergence Inequalities with Applications in Ergodic Theory f -divergence inequalities

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.779748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b9e69336-2639-4722-b708-948248d01e95 · outbound

This paper cites Approximating csiszar f-divergence by the use of taylor’s formula with integral re mainder.

Divergence Inequalities with Applications in Ergodic Theory Approximating csiszar f-divergence by the use of taylor’s formula with integral re mainder

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.773234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 772cbb0d-215d-4ef7-a74d-617d6a91ecfe · outbound

This paper cites A reﬁnement and a divided difference r everse of Jensen’s inequality with applications.

Divergence Inequalities with Applications in Ergodic Theory A reﬁnement and a divided difference r everse of Jensen’s inequality with applications

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.766254Z

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Observation 541acc80-166c-4821-be8b-6a53de41dc2f · outbound

This paper cites On f-divergences: Integral representatio ns, local behavior, and inequalities.

Divergence Inequalities with Applications in Ergodic Theory On f-divergences: Integral representatio ns, local behavior, and inequalities

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.759503Z

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Observation f628eb5c-ccef-49fc-85f2-8b4f1e8348b0 · outbound

This paper cites Approximation of f-divergence measu res by using two points taylor’s type representations with integral remainders.

Divergence Inequalities with Applications in Ergodic Theory Approximation of f-divergence measu res by using two points taylor’s type representations with integral remainders

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.752888Z

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Observation 3003deb4-5704-4a86-a21c-3c862e7d188d · outbound

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Divergence Inequalities with Applications in Ergodic Theory Unresolved cited work

Reference 18

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Observation b34af359-34d7-498b-a76a-84cb1e1eb439 · outbound

This paper cites Note on discrimination information and var iation (corresp.).

Divergence Inequalities with Applications in Ergodic Theory Note on discrimination information and var iation (corresp.)

Reference 19

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Observation bc9f89dd-64c3-401c-a4eb-deef776fc241 · outbound

This paper cites Generalised Pinsker Inequalities.

Divergence Inequalities with Applications in Ergodic Theory Generalised Pinsker Inequalities

Reference 20

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Observation c2987d1c-2749-468c-bd86-ff08b46e379d · outbound

This paper cites On Pinsker’s and Vajda’s type ineq ualities for csisz´ ar’s f -divergences.

Divergence Inequalities with Applications in Ergodic Theory On Pinsker’s and Vajda’s type ineq ualities for csisz´ ar’s f -divergences

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.732137Z

Source-reported events for the cited work

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Observation ce1f7762-a906-4eaf-aa26-c5175ea5d05d · outbound

This paper cites Spreading of sets in pr oduct spaces and hypercontraction of the Markov operator.

Divergence Inequalities with Applications in Ergodic Theory Spreading of sets in pr oduct spaces and hypercontraction of the Markov operator

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.725217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5b74aa91-68c5-4d10-9ff1-705089406213 · outbound

This paper cites Rautu, Mary Beth Ruskai, Eug ene Seneta, and Gh.

Divergence Inequalities with Applications in Ergodic Theory Rautu, Mary Beth Ruskai, Eug ene Seneta, and Gh

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.718171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 992e457b-c189-42c3-acb7-1b019b7bc1d4 · outbound

This paper cites Equ ivalence of certain entropy contraction coefﬁcients.

Divergence Inequalities with Applications in Ergodic Theory Equ ivalence of certain entropy contraction coefﬁcients

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.711418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 343de6b1-a321-49ba-98bf-de088154244d · outbound

This paper cites Strong data processing inequalities a nd phi-sobolev inequalities for discrete channels.

Divergence Inequalities with Applications in Ergodic Theory Strong data processing inequalities a nd phi-sobolev inequalities for discrete channels

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.704543Z

Source-reported events for the cited work

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Observation 1bf81ca9-f944-4138-abca-7d32ffb789bb · outbound

This paper cites Strong data-processing inequalities for channels and bayesian networks.

Divergence Inequalities with Applications in Ergodic Theory Strong data-processing inequalities for channels and bayesian networks

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.697757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 80baa03d-87bb-4ca1-95a1-0fd6df77f7ae · outbound

This paper cites Comparison of contract ion coefﬁcients for f-divergences.

Divergence Inequalities with Applications in Ergodic Theory Comparison of contract ion coefﬁcients for f-divergences

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.690939Z

Source-reported events for the cited work

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Observation 9c96d03f-1f3e-4a84-b659-782833471edc · outbound

This paper cites Strong data process ing constant is achieved by binary inputs.

Divergence Inequalities with Applications in Ergodic Theory Strong data process ing constant is achieved by binary inputs

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.684149Z

Source-reported events for the cited work

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Observation 1168ed86-f982-4cf5-9386-8399f65dba5e · outbound

This paper cites On contraction coefﬁcients, partial orders and approximation of capacities for quantum channel s.

Divergence Inequalities with Applications in Ergodic Theory On contraction coefﬁcients, partial orders and approximation of capacities for quantum channel s

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.676732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b6c7d4c3-1560-43b1-b63f-65ae68b8dcde · outbound

This paper cites A lower bound on the space overhead of fault-tolerant quantum computation.

Divergence Inequalities with Applications in Ergodic Theory A lower bound on the space overhead of fault-tolerant quantum computation

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-12T12:38:05.281204Z

Source-reported events for the cited work

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Observation db33b769-d1a4-4349-b0a6-4bbe96cd535f · outbound

This paper cites Quantum R´ enyi and f-divergences from integral representations, 2024.

Divergence Inequalities with Applications in Ergodic Theory Quantum R´ enyi and f-divergences from integral representations, 2024

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.669556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 26c710d9-2de0-4783-b089-e90f6258bd05 · outbound

This paper cites Deﬁnition of random variab les by conditional distributions.

Divergence Inequalities with Applications in Ergodic Theory Deﬁnition of random variab les by conditional distributions

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.662661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cdb9c3b4-d990-4b6b-8db1-eef1c243cd99 · outbound

This paper cites Broadcasting on trees and the ising model.

Divergence Inequalities with Applications in Ergodic Theory Broadcasting on trees and the ising model

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.656097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 17b668ec-2edd-4387-88ae-ebc27650faa6 · outbound

This paper cites Local privacy and statistical minimax rates.

Divergence Inequalities with Applications in Ergodic Theory Local privacy and statistical minimax rates

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.649343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7c955a77-9632-44ec-a830-f39b1a4d0ccc · outbound

This paper cites Dissipation of informat ion in channels with input constraints.

Divergence Inequalities with Applications in Ergodic Theory Dissipation of informat ion in channels with input constraints

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.642682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 132936c8-c254-4c61-a7ce-146439c0a37f · outbound

This paper cites Quantum differential privacy: An information theory perspective.

Divergence Inequalities with Applications in Ergodic Theory Quantum differential privacy: An information theory perspective

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.635780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d3f3a2a6-3e1c-4842-a977-697d522900d8 · outbound

This paper cites Quant um pufferﬁsh privacy: A ﬂexible privacy framework for quantum systems.

Divergence Inequalities with Applications in Ergodic Theory Quant um pufferﬁsh privacy: A ﬂexible privacy framework for quantum systems

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.629322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 07ef5bd0-801a-4f6b-9950-9d53b73dbfd0 · outbound

This paper cites Quasi-entropies for states of a von Neuman n algebra.

Divergence Inequalities with Applications in Ergodic Theory Quasi-entropies for states of a von Neuman n algebra

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.623025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7d7c3759-e4aa-43fe-9880-9dd1ece1ba2a · outbound

This paper cites A lower bound for discrimination inf ormation in terms of variation (corresp.).

Divergence Inequalities with Applications in Ergodic Theory A lower bound for discrimination inf ormation in terms of variation (corresp.)

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.616374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 82804acd-5791-4b99-94e9-bb5faf592a7d · outbound

This paper cites On the optimum rate of transmitt ing information.

Divergence Inequalities with Applications in Ergodic Theory On the optimum rate of transmitt ing information

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.609667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5bf1b58e-7fd7-475e-80df-ea5ff2710279 · outbound

This paper cites Reﬁnements of Pinsker’s inequality.

Divergence Inequalities with Applications in Ergodic Theory Reﬁnements of Pinsker’s inequality

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.602871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6cbfd32a-7c9e-4b36-9fba-089c444c2bf1 · outbound

This paper cites A distributi on dependent reﬁnement of Pinsker’s inequality.

Divergence Inequalities with Applications in Ergodic Theory A distributi on dependent reﬁnement of Pinsker’s inequality

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.595875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 50923dd7-a82c-48bf-8e80-b77eb725d1e3 · outbound

This paper cites On the minimum f-divergence for gi ven total variation.

Divergence Inequalities with Applications in Ergodic Theory On the minimum f-divergence for gi ven total variation

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.589248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d5bce480-d57d-4e08-93e5-cb31541cba55 · outbound

This paper cites on the min imum f-divergence for given total variation.

Divergence Inequalities with Applications in Ergodic Theory on the min imum f-divergence for given total variation

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.582395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 018ae64d-da1c-4624-8088-f569cafd0796 · outbound

This paper cites On divergences and info rmations in statistics and information theory.

Divergence Inequalities with Applications in Ergodic Theory On divergences and info rmations in statistics and information theory

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.575643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3f437075-609f-432b-923c-2de2da1a2876 · outbound

This paper cites On applications of the repres entation of f-divergences as averaged minimal Bayesian risk.

Divergence Inequalities with Applications in Ergodic Theory On applications of the repres entation of f-divergences as averaged minimal Bayesian risk

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.568859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d04f98a9-d903-4a8e-8f79-7e284110f416 · outbound

This paper cites Statistical in formation and discrimination.

Divergence Inequalities with Applications in Ergodic Theory Statistical in formation and discrimination

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.561865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f1e66073-101d-443a-8fc4-e82963aac719 · outbound

This paper cites Information theor y and statistics: A tutorial.

Divergence Inequalities with Applications in Ergodic Theory Information theor y and statistics: A tutorial

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.555306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 27968531-df1b-4f79-a118-25d21daf4f4f · outbound

This paper cites On the chi square and hig her-order chi distances for approximating f-divergences.

Divergence Inequalities with Applications in Ergodic Theory On the chi square and hig her-order chi distances for approximating f-divergences

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.548551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 05ae9fe2-2dbb-4da3-8480-2df81d98ba99 · outbound

This paper cites On asymptotic properties of information-theoretic divergences.

Divergence Inequalities with Applications in Ergodic Theory On asymptotic properties of information-theoretic divergences

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.541193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f808b874-8767-4472-ad80-44505ef4e850 · outbound

This paper cites The χ 2-divergence and mixing times of quantum Markov processes.

Divergence Inequalities with Applications in Ergodic Theory The χ 2-divergence and mixing times of quantum Markov processes

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.534276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f7e976db-a1e1-4d22-8bfd-8f1d442695d5 · outbound

This paper cites On relations betwee n the relative entropy and χ 2-divergence, generalizations and applications.

Divergence Inequalities with Applications in Ergodic Theory On relations betwee n the relative entropy and χ 2-divergence, generalizations and applications

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.527347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 73eff334-f702-4896-9ecd-5eeeda9a0bf9 · outbound

This paper cites Context tree estimatio n for not necessarily ﬁnite memory processes, via bic and mdl.

Divergence Inequalities with Applications in Ergodic Theory Context tree estimatio n for not necessarily ﬁnite memory processes, via bic and mdl

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.520258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b4dc72cc-b4d6-4b91-855e-08b1e6496a9d · outbound

This paper cites A note on reverse Pinsker inequalitie s.

Divergence Inequalities with Applications in Ergodic Theory A note on reverse Pinsker inequalitie s

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.513281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8579f06f-c1b9-4e8b-b074-3df4ec7b168c · outbound

This paper cites an unresolved cited work.

Divergence Inequalities with Applications in Ergodic Theory Unresolved cited work

Reference 55

Resolution: verified exact; raw_fallback, observed 2026-08-12T12:38:05.270343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6c1cd048-40bd-48ff-861e-883d4cb5e3b4 · outbound

This paper cites Sample Complexity of Locally Differentially Private Quantum Hypothesis Testing.

Divergence Inequalities with Applications in Ergodic Theory Sample Complexity of Locally Differentially Private Quantum Hypothesis Testing

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-12T12:38:04.759049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2264e2f5-3ebc-48c2-bd7f-24b4f5793339 · outbound

This paper cites Geometric bounds fo r eigenvalues of Markov chains.

Divergence Inequalities with Applications in Ergodic Theory Geometric bounds fo r eigenvalues of Markov chains

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.506401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 98c5c346-d116-4287-94bf-057049bebeb5 · outbound

This paper cites Eigenvalue bounds on convergence to s tationarity for nonreversible Markov chains, with an application to the exclusion process.

Divergence Inequalities with Applications in Ergodic Theory Eigenvalue bounds on convergence to s tationarity for nonreversible Markov chains, with an application to the exclusion process

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.499802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a8ba04df-5b46-41e4-857a-6d7bbe2d48f2 · outbound

This paper cites Contraction of genera lized relative entropy under stochastic mappings on matrices.

Divergence Inequalities with Applications in Ergodic Theory Contraction of genera lized relative entropy under stochastic mappings on matrices

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.492425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b68ac57d-736c-433a-90e5-55668dac0c75 · outbound

This paper cites Optimized quantum f-divergences and data processing.

Divergence Inequalities with Applications in Ergodic Theory Optimized quantum f-divergences and data processing

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.485138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e514c7f4-a8b3-4d1e-9401-d86d8629ee6d · outbound

This paper cites Beyond strong subadditivity? improv ed bounds on the contraction of generalized relative entropy.

Divergence Inequalities with Applications in Ergodic Theory Beyond strong subadditivity? improv ed bounds on the contraction of generalized relative entropy

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.478332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f23d1c32-ea61-459e-ba3a-cf0501eb2cfb · outbound

This paper cites Monotone riema nnian metrics and relative entropy on noncommutative probability spaces.

Divergence Inequalities with Applications in Ergodic Theory Monotone riema nnian metrics and relative entropy on noncommutative probability spaces

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.471571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c92101af-ca3b-46b4-b1d0-25bdc87a91bc · outbound

This paper cites Rever se-type data processing inequality , 2024.

Divergence Inequalities with Applications in Ergodic Theory Rever se-type data processing inequality , 2024

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-12T12:38:04.775808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c212a05-f3ff-4177-afb9-05e46e13ce44 · outbound

This paper cites Sa ndwiched R´ enyi convergence for quantum evolutions.

Divergence Inequalities with Applications in Ergodic Theory Sa ndwiched R´ enyi convergence for quantum evolutions

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.464971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c974062c-df47-498b-82ec-5f7e5c60c672 · outbound

This paper cites One-variable calculus, with an introduction to linear alge bra, volume 1.

Divergence Inequalities with Applications in Ergodic Theory One-variable calculus, with an introduction to linear alge bra, volume 1

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.458272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 020e4470-93b2-4a99-b1a2-326dc2f08e04 · outbound

This paper cites V ector calculus.

Divergence Inequalities with Applications in Ergodic Theory V ector calculus

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.450552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7d3700ac-05c2-47d6-9597-79ee6959e813 · outbound

This paper cites The Analysis of Linear Partial Differential Operators I.

Divergence Inequalities with Applications in Ergodic Theory The Analysis of Linear Partial Differential Operators I

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.443875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8dd4e559-593d-49ea-9441-24f802d62b15 · outbound

This paper cites Information contraction and decomposition.

Divergence Inequalities with Applications in Ergodic Theory Information contraction and decomposition

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.437023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c7b4fed5-3c7c-4522-970e-777019dbb8c3 · outbound

This paper cites Relative informat ion of type s, csisz´ ar’s f-divergence, and information inequalities.

Divergence Inequalities with Applications in Ergodic Theory Relative informat ion of type s, csisz´ ar’s f-divergence, and information inequalities

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.430140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f56ce970-5ded-41d6-bc9c-fa5a2e862a4f · outbound

This paper cites Bounds on f-divergences and related distan ces.

Divergence Inequalities with Applications in Ergodic Theory Bounds on f-divergences and related distan ces

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.422994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 82c9b301-57bd-4b1c-9b23-26d2f830806e · outbound

This paper cites Online learning of a panoply of quantum objects (in submission), 2024.

Divergence Inequalities with Applications in Ergodic Theory Online learning of a panoply of quantum objects (in submission), 2024

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.415607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6f9012b8-a6b4-4328-aef6-10bbd0ea0e83 · outbound

This paper cites W eak ergodicity in n on-homogeneous Markov chains.

Divergence Inequalities with Applications in Ergodic Theory W eak ergodicity in n on-homogeneous Markov chains

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.408702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e71ca13c-7384-41c7-a381-7f149751ced8 · outbound

This paper cites Non-negative matrices and Markov chains.

Divergence Inequalities with Applications in Ergodic Theory Non-negative matrices and Markov chains

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.401841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4987ada8-0618-4dae-8093-9d36bb7fe5c0 · outbound

This paper cites On sequences of pairs of dependent random variables.

Divergence Inequalities with Applications in Ergodic Theory On sequences of pairs of dependent random variables

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.394761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0341f6e0-90ab-493f-b764-f439724e05bf · outbound

This paper cites A new data processing inequa lity and its applications in distributed source and channel coding.

Divergence Inequalities with Applications in Ergodic Theory A new data processing inequa lity and its applications in distributed source and channel coding

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.387839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7ea99aff-aeae-4e86-aa6a-b338ac094955 · outbound

This paper cites Markov chains and mixing times , volume 107.

Divergence Inequalities with Applications in Ergodic Theory Markov chains and mixing times , volume 107

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-12T12:38:04.806901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 184e07e0-0050-44d4-a6b3-782b83038648 · outbound

This paper cites Divergence inequalities from multivariate taylor’s theorem.

Divergence Inequalities with Applications in Ergodic Theory Divergence inequalities from multivariate taylor’s theorem

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.377399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 23cb2eed-f44d-43fc-aad3-797163c06a76 · outbound

This paper cites Approximations of the s pectral radius corresponding eigenvector, and second largest modulus of an eigenvalue for square, nonn egative, irreducible matrices.

Divergence Inequalities with Applications in Ergodic Theory Approximations of the s pectral radius corresponding eigenvector, and second largest modulus of an eigenvalue for square, nonn egative, irreducible matrices

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.370673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a3fcef68-d34e-4fb4-81e1-c537ac259d35 · outbound

This paper cites The Theory of Quantum Information.

Divergence Inequalities with Applications in Ergodic Theory The Theory of Quantum Information

Reference 79

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.362881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b27ca0e3-fee4-437a-bb6a-2b358170cecb · outbound

This paper cites Quantum f-divergences and error correction.

Divergence Inequalities with Applications in Ergodic Theory Quantum f-divergences and error correction

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.356113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 19f090d0-9360-425f-a9c4-2f99ef11d55d · outbound

This paper cites Contraction coefﬁcien ts for noisy quantum channels.

Divergence Inequalities with Applications in Ergodic Theory Contraction coefﬁcien ts for noisy quantum channels

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.349402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 19edd529-c8a7-4a51-bb8a-da48c3af3e40 · outbound

This paper cites Different quantum f-div ergences and the reversibility of quantum operations.

Divergence Inequalities with Applications in Ergodic Theory Different quantum f-div ergences and the reversibility of quantum operations

Reference 82

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.341928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5f9c7fa7-86a1-49ff-a532-da4a9b0868f4 · outbound

This paper cites A new quantum version of f-divergence.

Divergence Inequalities with Applications in Ergodic Theory A new quantum version of f-divergence

Reference 83

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.333685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 678123c6-0238-4961-8715-342dd2bf1e53 · outbound

This paper cites The Chernoff lower bound for symmetric quantum hypothesis testing.

Divergence Inequalities with Applications in Ergodic Theory The Chernoff lower bound for symmetric quantum hypothesis testing

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-12T12:38:04.826010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c6cfc59-8ba3-454f-b06b-3aae5843a3f2 · outbound

This paper cites A f ully quantum asymptotic equipartition property.

Divergence Inequalities with Applications in Ergodic Theory A f ully quantum asymptotic equipartition property

Reference 85

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.326899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 19817f82-2fb6-4079-b90c-a8fae1222141 · outbound

This paper cites Matrix analysis , volume 169.

Divergence Inequalities with Applications in Ergodic Theory Matrix analysis , volume 169

Reference 86

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.318879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4720945d-4734-4cf5-8d54-35d531408f7e · outbound

This paper cites Quantum channels and operations-guide d tour, 2012.

Divergence Inequalities with Applications in Ergodic Theory Quantum channels and operations-guide d tour, 2012

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-12T12:38:04.833153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ceea3af9-2c09-4faa-9835-b8005e0b99fd · outbound

This paper cites Ergodic and mixing quantum channels in ﬁnite dimensions.

Divergence Inequalities with Applications in Ergodic Theory Ergodic and mixing quantum channels in ﬁnite dimensions

Reference 88

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.311230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 54ea8115-7b4f-4003-884d-fc71ccf509a0 · outbound

This paper cites T ensorization of the strong data processing inequality for quantum chi- square divergences.

Divergence Inequalities with Applications in Ergodic Theory T ensorization of the strong data processing inequality for quantum chi- square divergences

Reference 89

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:38:05.303774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b6b3c767-357c-4d02-b394-0262a0b3124b · outbound

This paper cites Quantum Doeblin coefﬁcients: A simp le upper bound on contraction coefﬁcients.

Divergence Inequalities with Applications in Ergodic Theory Quantum Doeblin coefﬁcients: A simp le upper bound on contraction coefﬁcients

Reference 90

Resolution: malformed identifier; no resolver link, observed 2026-08-12T12:38:04.840089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 835c6c99-57a1-44c3-8c29-34ee46ce9c9d · inbound

Tight Contraction Rates for Primitive Channels under Quantum $f$-Divergences cites this paper.

Tight Contraction Rates for Primitive Channels under Quantum $f$-Divergences Divergence Inequalities with Applications in Ergodic Theory

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-11T19:46:11.590441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 68d0d92a-06f2-4a2c-a17c-a11f35495229 · inbound

Retention Profiles and KL Contraction Bounds in Finite Markov Chains cites this paper.

Retention Profiles and KL Contraction Bounds in Finite Markov Chains Divergence Inequalities with Applications in Ergodic Theory

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:29:54.147911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.