Paper Citation Record · LEDGER

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism

As of 18 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2502.06143.

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

pith.paper-citation-record.v1
2502.06143 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T16:46:07.682307Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:41:48.154170Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T12:41:48.391881Z

Reference resolution

32 of 32 outbound references displayed

verified exact0
verified fuzzy27
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d193623f-0eef-4ba1-8e15-b0de196b813d · outbound

This paper cites Recent exact and asymptotic results for products of independent random matrices.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Recent exact and asymptotic results for products of independent random matrices

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-08T16:46:07.539983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52bfa281-ff67-4b14-89ca-9a2760370338 · outbound

This paper cites Continuity of the Lyapunov exponents of random matrix products.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Continuity of the Lyapunov exponents of random matrix products

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-08T16:46:07.546046Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f22f512b-26c5-4722-8438-939b8c52ee18 · outbound

This paper cites Limit theorems for non-commutative op erations.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Limit theorems for non-commutative op erations

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.305192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8ec802f6-da64-4a84-a7ae-ddeccf17998c · outbound

This paper cites Macdonald processes, 20 13.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Macdonald processes, 20 13

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.291653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5c3b2778-c9e6-4245-83da-1e3299189ab8 · outbound

This paper cites Paths in weyl cham bers and random matrices.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Paths in weyl cham bers and random matrices

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.278348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b761b173-2f86-46c5-b2fc-9fb38539df43 · outbound

This paper cites Lie groups and Lie algebras , volume 1.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Lie groups and Lie algebras , volume 1

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.264880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4e4c9f24-dfbc-41a5-8577-d4059fb0469b · outbound

This paper cites Poisson boundary of GL d(Qp) Israel Journal of Mathematics , 185:125– 140, 2011.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Poisson boundary of GL d(Qp) Israel Journal of Mathematics , 185:125– 140, 2011

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.251112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7ab3a6ac-1d8b-4810-a88c-ff1100135e8f · outbound

This paper cites Groupes r´ eductifs s ur un corps local: I.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Groupes r´ eductifs s ur un corps local: I

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.237671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 74d5c3ad-e8b0-4255-bba0-bbe25f90c073 · outbound

This paper cites Isotropic rando m walks in a building of type.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Isotropic rando m walks in a building of type

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.223745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b9f23016-e9a5-43fa-9b48-efa7eb469c67 · outbound

This paper cites Non-archimedean whittaker functions as characters: A probabilistic approach to the shintani– casselman–shalika formula.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Non-archimedean whittaker functions as characters: A probabilistic approach to the shintani– casselman–shalika formula

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.209748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4e699fa5-51e1-4be5-bc51-4f865cf5e343 · outbound

This paper cites Asymptotics of ﬁnite system lyapuno v exponents for some random matrix ensembles.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Asymptotics of ﬁnite system lyapuno v exponents for some random matrix ensembles

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.195858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6fcc5c58-c092-403e-b0b3-7057533d6120 · outbound

This paper cites Products of random matrices.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Products of random matrices

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.181405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7c6ac20c-840b-4016-812b-a5c4c7728af8 · outbound

This paper cites Brownian motion in a weyl chamber, non -colliding particles, and random matrices.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Brownian motion in a weyl chamber, non -colliding particles, and random matrices

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.167435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 96c9c458-35eb-4fb6-8e60-6950d8db8ee8 · outbound

This paper cites Random walks in weyl c hambers and the decomposition of tensor powers.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Random walks in weyl c hambers and the decomposition of tensor powers

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.153431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4b966b32-a6f7-4385-bde3-143fb3c8e47a · outbound

This paper cites Reﬂection groups and Coxeter groups.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Reﬂection groups and Coxeter groups

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.139377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ed65ce88-94f5-4472-be9b-01ea92898029 · outbound

This paper cites Linear algebraic groups , volume 21.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Linear algebraic groups , volume 21

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.125669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3690aee6-1b37-46f1-bcf5-59a998e9c5c4 · outbound

This paper cites Investigation of continuo us-time quantum walk on root lattice an and hon- eycomb lattice.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Investigation of continuo us-time quantum walk on root lattice an and hon- eycomb lattice

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.112269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e3d7aabe-aef6-46f9-b708-0acb1274a589 · outbound

This paper cites Convex hulls of random walks, hyperplane arrangements, and weyl chambers.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Convex hulls of random walks, hyperplane arrangements, and weyl chambers

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.098520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c7655f81-714d-4468-a3f9-588edc052d40 · outbound

This paper cites Exact lyapunov exponent for inﬁnite products of random matrices.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Exact lyapunov exponent for inﬁnite products of random matrices

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.084663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6683f44d-5a7f-49e1-87e1-077cfd6bf168 · outbound

This paper cites Lyapunov ex ponent, universality and phase transition for products of random matrices.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Lyapunov ex ponent, universality and phase transition for products of random matrices

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.070332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3696e8f1-4cea-4171-a214-760f8b237b32 · outbound

This paper cites Orthogonal polynomials associated wi th root systems.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Orthogonal polynomials associated wi th root systems

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.056237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6c9b853f-033b-4521-9b15-c5fbd59944d4 · outbound

This paper cites Spherical functions on a p-adic ch evalley group.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Spherical functions on a p-adic ch evalley group

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.042026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 05a11111-3a39-4ca8-8694-e87a925709fa · outbound

This paper cites Random walks on lattices.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Random walks on lattices

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.028041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ee4423a8-2079-407d-8914-c7a06cb3f303 · outbound

This paper cites The distribution of lyapunov exponen ts: exact results for random matrices.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism The distribution of lyapunov exponen ts: exact results for random matrices

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:08.013303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 98acf915-b09b-490e-a9d5-016ab8bbad12 · outbound

This paper cites Buildings, groups of lie type, and ran dom walks.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Buildings, groups of lie type, and ran dom walks

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:07.997317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7e2fdd64-06a7-4dea-a941-abbab5fc2438 · outbound

This paper cites Random walk on a building of type ˜Ar and brownian motion of the weyl chamber.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Random walk on a building of type ˜Ar and brownian motion of the weyl chamber

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:07.983023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 34a43635-9189-4dd6-aaaa-d120cd1861a4 · outbound

This paper cites Compact lie groups.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Compact lie groups

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:07.968661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 50e89277-7061-40cc-8118-3a4644777748 · outbound

This paper cites Gaussian universality of p-adic random matrix products via corners.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Gaussian universality of p-adic random matrix products via corners

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-08T16:46:07.664692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7628f5d1-3099-4485-b37f-40ee1f9fd699 · outbound

This paper cites Non-Archimedean GUE corners and Hecke modules.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Non-Archimedean GUE corners and Hecke modules

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-08T16:46:07.668836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0cdfc01-ed71-4a6c-8299-42a26286059c · outbound

This paper cites Limits and ﬂuctuations of p-adic rando m matrix products.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Limits and ﬂuctuations of p-adic rando m matrix products

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:07.953344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b82af198-4505-4345-9ce0-029298e65817 · outbound

This paper cites What is a $p$-adic Dyson Brownian motion?.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism What is a $p$-adic Dyson Brownian motion?

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-08T16:46:07.677662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0b616b3-7b2a-4d98-9f87-23ac606883c0 · outbound

This paper cites Estimating generalized lyapunov exponent s for products of random matrices.

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism Estimating generalized lyapunov exponent s for products of random matrices

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:46:07.937548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation 267ff963-4b3e-4957-a642-e5ec8aaf65c8 · inbound

The rank evolution of block bidiagonal matrices over finite fields cites this paper.

The rank evolution of block bidiagonal matrices over finite fields Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:41:48.399246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.