Paper Citation Record · LEDGER

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels

As of 12 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2607.13379.

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2607.13379 v1

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measured 51 of 51 reference resolution

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51 of 51 outbound references displayed

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Outbound references

Observation 200c6ca1-cac6-4b6f-bee5-e8fc5d8dd8d8 · outbound

This paper cites Subgaussian random variables in Hilbert spaces.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Subgaussian random variables in Hilbert spaces

Reference 1

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Observation 2e5da030-fd0a-49c9-8559-b9436b2374ff · outbound

This paper cites Bass and Zhen-Qing Chen.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Bass and Zhen-Qing Chen

Reference 2

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Observation c4317fc0-05da-42e5-a390-7daecc04114d · outbound

This paper cites A law of large numbers for kinetic interacting diffusions.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels A law of large numbers for kinetic interacting diffusions

Reference 3

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Observation 2870f21b-7a51-488a-8e6a-509a0efbb0fd · outbound

This paper cites Analysis and Approximation of Rare Events: Representations and Weak Convergence Methods , volume 94 of Probability Theory and Stochastic Modelling.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Analysis and Approximation of Rare Events: Representations and Weak Convergence Methods , volume 94 of Probability Theory and Stochastic Modelling

Reference 4

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Observation 17a0e9e0-f8e9-4e9e-8e5d-23fda8718c68 · outbound

This paper cites Uniform-in-time estimates on corrections to mean field for interacting Brownian particles.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Uniform-in-time estimates on corrections to mean field for interacting Brownian particles

Reference 5

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Observation 158ca83b-0742-414f-a70d-0399df7fb30d · outbound

This paper cites A new approach to the mean-field limit of Vlasov--Fokker--Planck equations.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels A new approach to the mean-field limit of Vlasov--Fokker--Planck equations

Reference 6

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Observation df8909bc-2338-4571-bf04-d559bfd7c794 · outbound

This paper cites On mean-field limits and quantitative estimates with a large class of singular kernels: Application to the Patlak--Keller--Segel model.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels On mean-field limits and quantitative estimates with a large class of singular kernels: Application to the Patlak--Keller--Segel model

Reference 7

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Observation 78ac7cbd-dbcb-4649-8efa-c2de321186a4 · outbound

This paper cites Mean field limit and quantitative estimates with singular attractive kernels.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Mean field limit and quantitative estimates with singular attractive kernels

Reference 8

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Observation 354840c3-fc84-4233-9918-8b7b18fe073f · outbound

This paper cites Weighted Csisz \'a r--Kullback--Pinsker inequalities and applications to transportation inequalities.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Weighted Csisz \'a r--Kullback--Pinsker inequalities and applications to transportation inequalities

Reference 9

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Observation b69fd7dd-0062-445c-a828-f0679c4856dc · outbound

This paper cites Entropy on the path space and application to singular diffusions and mean-field models.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Entropy on the path space and application to singular diffusions and mean-field models

Reference 10

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Observation 63dcde88-a12a-487c-a3a8-6960ca1184a2 · outbound

This paper cites Propagation of chaos: A review of models, methods and applications.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Propagation of chaos: A review of models, methods and applications

Reference 11

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Observation d4293d7c-21d7-4bca-b6fd-2f0f95fa2de6 · outbound

This paper cites Propagation of chaos: A review of models, methods and applications.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Propagation of chaos: A review of models, methods and applications

Reference 12

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Observation c9673344-fcc5-44a7-8ce2-ca9c25a6c7ee · outbound

This paper cites Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients

Reference 13

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Observation 8674e90d-137e-4646-9c08-0d07b23d85df · outbound

This paper cites Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities

Reference 14

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Observation 13b369bf-a06e-4c6b-a38d-2d399ac30300 · outbound

This paper cites Uniform-in-time propagation of chaos for kinetic mean field Langevin dynamics.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Uniform-in-time propagation of chaos for kinetic mean field Langevin dynamics

Reference 15

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Observation ecbcf9e9-ba58-4c97-a733-f6a63fbc1bf3 · outbound

This paper cites Strong exponential integrability of sums of independent B -valued random vectors.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Strong exponential integrability of sums of independent B -valued random vectors

Reference 16

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Observation b57f4ce7-5dcb-4f37-96b6-fc42300a61e9 · outbound

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Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Unresolved cited work

Reference 17

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Observation 66337b0b-7369-41fa-ac29-ac6c94973d74 · outbound

This paper cites de la Pe \ n a and Stephen J.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels de la Pe \ n a and Stephen J

Reference 18

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Observation e98fb2c3-f752-4ee9-9e27-3819d3c75aff · outbound

This paper cites Genealogies and increasing propagation of chaos for Feynman--Kac and genetic models.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Genealogies and increasing propagation of chaos for Feynman--Kac and genetic models

Reference 19

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Observation 0eea9d87-0f6e-4850-8074-6bb30a381cd1 · outbound

This paper cites On the size of chaos via Glauber calculus in the classical mean-field dynamics.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels On the size of chaos via Glauber calculus in the classical mean-field dynamics

Reference 20

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Observation da9de309-9833-45aa-a2d7-bb9b0671d09b · outbound

This paper cites Exponential integrability of sub- Gaussian vectors.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Exponential integrability of sub- Gaussian vectors

Reference 21

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Observation 8d2c94e9-9926-4642-ab28-2c80db7b13c4 · outbound

This paper cites The kinetic Fokker--Planck equation with mean field interaction.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels The kinetic Fokker--Planck equation with mean field interaction

Reference 22

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Observation 0cbef20f-db3f-4f85-b16f-56e9c5a09d14 · outbound

This paper cites Central Limit Theorem for Singular Interacting Particle Systems Driven by Fractional Brownian Motion.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Central Limit Theorem for Singular Interacting Particle Systems Driven by Fractional Brownian Motion

Reference 23

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Observation 492d80ed-17ec-4d65-a636-1795580bfe96 · outbound

This paper cites Entropic propagation of chaos for mean field diffusion with $L^p$ interactions via hierarchy, linear growth and fractional noise.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Entropic propagation of chaos for mean field diffusion with $L^p$ interactions via hierarchy, linear growth and fractional noise

Reference 24

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Observation 39eca1d3-aba9-49b6-a00a-bc8c9ed17831 · outbound

This paper cites Propagation of chaos for moderately interacting particle systems related to singular kinetic McKean--Vlasov SDEs , 2024.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Propagation of chaos for moderately interacting particle systems related to singular kinetic McKean--Vlasov SDEs , 2024

Reference 25

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Observation 73380657-c281-4d3c-984d-c8d9af528546 · outbound

This paper cites Hypoelliptic second order differential equations.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Hypoelliptic second order differential equations

Reference 26

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Observation 5cfaec03-b3dc-4e05-998e-56dc0fa9ecb0 · outbound

This paper cites Distribution-flow dependent SDEs driven by (fractional) Brownian motion and Navier-Stokes equations.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Distribution-flow dependent SDEs driven by (fractional) Brownian motion and Navier-Stokes equations

Reference 27

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Observation 43babe23-8468-48d1-9719-b5802755022c · outbound

This paper cites Strong convergence of propagation of chaos for McKean--Vlasov SDEs with singular interactions.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Strong convergence of propagation of chaos for McKean--Vlasov SDEs with singular interactions

Reference 28

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Observation c94c26e4-b369-4703-aaf2-63ca26224bcb · outbound

This paper cites Second-order fractional mean-field SDEs with singular kernels and measure initial data.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Second-order fractional mean-field SDEs with singular kernels and measure initial data

Reference 29

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Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Singular kinetic equations and applications

Reference 30

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This paper cites Mean field limit and propagation of chaos for Vlasov systems with bounded forces.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Mean field limit and propagation of chaos for Vlasov systems with bounded forces

Reference 31

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This paper cites Quantitative estimates of propagation of chaos for stochastic systems with w^ -1, kernels.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Quantitative estimates of propagation of chaos for stochastic systems with w^ -1, kernels

Reference 32

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This paper cites Foundations of kinetic theory.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Foundations of kinetic theory

Reference 33

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Observation 8b763e38-2094-496d-9143-fcce867b51a4 · outbound

This paper cites Kolmogoroff.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Kolmogoroff

Reference 34

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This paper cites Krylov and Michael R \"o ckner.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Krylov and Michael R \"o ckner

Reference 35

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This paper cites Some exponential moments of sums of independent random variables.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Some exponential moments of sums of independent random variables

Reference 36

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This paper cites Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions

Reference 37

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This paper cites Probability in Banach Spaces: Isoperimetry and Processes , volume 23 of Ergebnisse der Mathematik und ihrer Grenzgebiete.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Probability in Banach Spaces: Isoperimetry and Processes , volume 23 of Ergebnisse der Mathematik und ihrer Grenzgebiete

Reference 38

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Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels McKean, Jr

Reference 39

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Observation 12df9c52-c34a-4da9-ad88-e53c6cb6751b · outbound

This paper cites Asymptotic behaviour of some interacting particle systems: McKean--Vlasov and Boltzmann models.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Asymptotic behaviour of some interacting particle systems: McKean--Vlasov and Boltzmann models

Reference 40

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This paper cites On the concentration of subgaussian vectors and positive quadratic forms in Hilbert spaces.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels On the concentration of subgaussian vectors and positive quadratic forms in Hilbert spaces

Reference 41

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This paper cites Optimum bounds for the distributions of martingales in Banach spaces.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Optimum bounds for the distributions of martingales in Banach spaces

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This paper cites A multivariate central limit theorem for Lipschitz and smooth test functions.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels A multivariate central limit theorem for Lipschitz and smooth test functions

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Observation 5af6e029-b99d-4112-872a-49e219884fba · outbound

This paper cites Heat kernel estimates for kinetic SDEs with drifts being unbounded and in Kato 's class.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Heat kernel estimates for kinetic SDEs with drifts being unbounded and in Kato 's class

Reference 44

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This paper cites Topics in propagation of chaos.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Topics in propagation of chaos

Reference 45

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Observation a547cb82-a6cd-412c-be08-c807b8a7c9ac · outbound

This paper cites Sharp local propagation of chaos for mean field particles with w^ -1, kernels.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Sharp local propagation of chaos for mean field particles with w^ -1, kernels

Reference 46

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Observation 25e999aa-cb5c-49e5-ae40-e7379114c583 · outbound

This paper cites Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy

Reference 47

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Observation b91465ff-b2c9-437a-9589-2ffdf74d93b1 · outbound

This paper cites Gaussian fluctuations for interacting particle systems with singular kernels.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Gaussian fluctuations for interacting particle systems with singular kernels

Reference 48

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This paper cites Uniform-in-time estimates on the size of chaos for interacting particle systems.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Uniform-in-time estimates on the size of chaos for interacting particle systems

Reference 49

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Observation a36d698b-101a-4598-938a-f2ac69241aa7 · outbound

This paper cites Ergodicity of stochastic differential equations with jumps and singular coefficients.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Ergodicity of stochastic differential equations with jumps and singular coefficients

Reference 50

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Observation 26dfd01e-de7a-4933-a00e-ba2b4540d422 · outbound

This paper cites Singular Brownian diffusion processes.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Singular Brownian diffusion processes

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Density-Dependent McKean--Vlasov Diffusions: Subgaussian Occupancy Bounds and Polynomial Propagation of Chaos cites this paper.

Density-Dependent McKean--Vlasov Diffusions: Subgaussian Occupancy Bounds and Polynomial Propagation of Chaos Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels

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