Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ | Paper Citation Record

Observation 547fa2ef-241a-453c-92b3-46ad89b2a05f · outbound

This paper cites Large devia- tions and gradient flows.Philos.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Large devia- tions and gradient flows.Philos

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Observation 4988290a-3300-4631-9e0e-b132982e3ca2 · outbound

This paper cites From a large- deviations principle to the wasserstein gradient flow: a new micro-macro passage.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ From a large- deviations principle to the wasserstein gradient flow: a new micro-macro passage

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Observation fdfcf69c-1c62-469c-956c-07e7fdad2f65 · outbound

This paper cites Transport equation and cauchy problem for bv vector fields.Inven- tiones mathematicae, 158(2), 2004.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Transport equation and cauchy problem for bv vector fields.Inven- tiones mathematicae, 158(2), 2004

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Observation e05ad130-b48e-4b1a-930e-917843fa840b · outbound

This paper cites Renormalized entropy solutions for quasi-linear anisotropic degenerate parabolic equations.SIAM journal on mathemat- ical analysis, 36(2):405–422, 2004.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Renormalized entropy solutions for quasi-linear anisotropic degenerate parabolic equations.SIAM journal on mathemat- ical analysis, 36(2):405–422, 2004

Reference 4

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Observation 2ce5abad-7e1a-44ac-bb52-b8d4e19fe052 · outbound

This paper cites Large deviations from the hydrodynamical limit of mean zero asymmetric zero range processes.Stochastic processes and their appli- cations, 55(1):65–89, 1995.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Large deviations from the hydrodynamical limit of mean zero asymmetric zero range processes.Stochastic processes and their appli- cations, 55(1):65–89, 1995

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Observation 84aec067-c59a-45de-9373-4f3855fab88b · outbound

This paper cites Hydrodynamics for a system of harmonic oscillators perturbed by a conservative noise.Stochastic processes and their applications, 117(4):487–513, 2007.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Hydrodynamics for a system of harmonic oscillators perturbed by a conservative noise.Stochastic processes and their applications, 117(4):487–513, 2007

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Observation 2fa219e2-5c6c-47d0-850c-4b30d17989db · outbound

This paper cites Stationary nonequilibrium properties for a heat conduction model.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Stationary nonequilibrium properties for a heat conduction model

Reference 7

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Observation fae56035-6ed1-4236-9819-4e931f8b5d91 · outbound

This paper cites Fourier’s law for a microscopic model of heat conduction.Journal of Statistical Physics, 121(3):271–289, 2005.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Fourier’s law for a microscopic model of heat conduction.Journal of Statistical Physics, 121(3):271–289, 2005

Reference 8

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Observation 2157645e-85c5-4a84-9aa2-3ab6c41e3c3a · outbound

This paper cites Bertini, A.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Bertini, A

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Observation 52be2f17-acf0-49a8-bd9b-b21e30320112 · outbound

This paper cites Private communication, 2025.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Private communication, 2025

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Observation a530b557-380f-4b28-99aa-0799443d401f · outbound

This paper cites Macroscopic fluctuation theory.Rev.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Macroscopic fluctuation theory.Rev

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Observation 6cb1c04e-6666-472b-b495-3265ee865428 · outbound

This paper cites Large deviations for a sto- chastic model of heat flow.Journal of statistical physics, 121(5):843–885, 2005.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Large deviations for a sto- chastic model of heat flow.Journal of statistical physics, 121(5):843–885, 2005

Reference 12

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Observation 80f357e9-7771-41fd-b336-d1f55fe019cc · outbound

This paper cites Solvable stationary non equilibrium states.Journal of Statis- tical Physics, 191(1):10, 2024.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Solvable stationary non equilibrium states.Journal of Statis- tical Physics, 191(1):10, 2024

Reference 13

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Observation 24e85a35-bd65-4755-9988-086a6a89edee · outbound

This paper cites Duality for sto- chastic models of transport.Journal of Statistical Physics, 152(4):657–697, 2013.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Duality for sto- chastic models of transport.Journal of Statistical Physics, 152(4):657–697, 2013

Reference 14

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Observation da34b892-af63-4b15-930c-22d62d302aed · outbound

This paper cites Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations

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Observation b70c6bb3-eff3-414b-afd1-02590acfcf39 · outbound

This paper cites Estimates and regularity results for the diperna-lions flow.Journal fur die reine und angewandte Mathematik, 616:15–46, 2008.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Estimates and regularity results for the diperna-lions flow.Journal fur die reine und angewandte Mathematik, 616:15–46, 2008

Reference 16

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Observation 8c349221-975c-44d2-89ac-bbe30bb8154a · outbound

This paper cites Ordinary differential equations with rough coefficients and the renormalization theorem of ambrosio [after ambrosio, diperna, lions].Ast´ erisque, 317(972):175–203, 2008.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Ordinary differential equations with rough coefficients and the renormalization theorem of ambrosio [after ambrosio, diperna, lions].Ast´ erisque, 317(972):175–203, 2008

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Observation 2973d41f-4add-433b-a67a-3e97f108fed5 · outbound

This paper cites Hidden temperature in the kmp model.Journal of Statistical Physics, 191(11):150, 2024.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Hidden temperature in the kmp model.Journal of Statistical Physics, 191(11):150, 2024

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Observation 9be455b7-3f46-47f8-8bad-b4ae9b1ba60e · outbound

This paper cites Non-equilibrium steady states: fluctuations and large deviations of the density and of the current.J.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Non-equilibrium steady states: fluctuations and large deviations of the density and of the current.J

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Observation 29d55493-f072-4f1e-bd31-bcfb584fe8d1 · outbound

This paper cites Ordinary differential equations, transport theory and sobolev spaces.Inventiones mathematicae, 98(3):511–547, 1989.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Ordinary differential equations, transport theory and sobolev spaces.Inventiones mathematicae, 98(3):511–547, 1989

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Observation d1bf1974-842b-4ba8-a489-7aa33ebe4a7e · outbound

This paper cites Conservative stochastic PDE and fluctuations of the symmetric simple exclusion process.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Conservative stochastic PDE and fluctuations of the symmetric simple exclusion process

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Observation 6cba7b8f-d122-48b9-ad83-03b7bf0d4460 · outbound

This paper cites Large deviations from a hydrodynamic scaling limit.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Large deviations from a hydrodynamic scaling limit

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Observation 6cda2eac-9353-44e8-bd41-050ff550165c · outbound

This paper cites Wasserstein gradient flows from large deviations of many-particle limits.ESAIM: Control, Optimisation and Calculus of Variations, 19(4):1166–1188, 2013.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Wasserstein gradient flows from large deviations of many-particle limits.ESAIM: Control, Optimisation and Calculus of Variations, 19(4):1166–1188, 2013

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Observation b15630cd-68bb-4552-81b8-dcc0ae12b581 · outbound

This paper cites Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift

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Observation e6d6739c-72bf-44ba-a6ca-53f949df2ed6 · outbound

This paper cites Well-posedness of the Dean--Kawasaki and the nonlinear Dawson--Watanabe equation with correlated noise.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Well-posedness of the Dean--Kawasaki and the nonlinear Dawson--Watanabe equation with correlated noise

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Observation d6514d01-abdd-4108-807e-bbddedd830bd · outbound

This paper cites Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift.Invent.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift.Invent

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Observation efa449e4-da9a-4625-918f-a21b590f2471 · outbound

This paper cites Matching Large Deviation Bounds of the Zero-Range Process in the whole space.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Matching Large Deviation Bounds of the Zero-Range Process in the whole space

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Observation f40eb08d-5fc7-4f3b-b62e-6fef2947552f · outbound

This paper cites A microscopic mechanism for the porous medium equation.Stochastic Processes and their Applications, 66(2):147–182, 1997.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ A microscopic mechanism for the porous medium equation.Stochastic Processes and their Applications, 66(2):147–182, 1997

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Observation f2afac05-9f0e-4e71-8e41-6aa48e27a02b · outbound

This paper cites The Porous Medium Equation: Large Deviations and Gradient Flow with Degenerate and Unbounded Diffusion.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ The Porous Medium Equation: Large Deviations and Gradient Flow with Degenerate and Unbounded Diffusion

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Observation b909a0ac-694f-41ba-b64b-02d19c138be4 · outbound

This paper cites The porous medium equation: Multiscale in- tegrability in large deviations.arXiv preprint arXiv:2602.09547, 2026.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ The porous medium equation: Multiscale in- tegrability in large deviations.arXiv preprint arXiv:2602.09547, 2026

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Observation fbcc3d87-40fc-422f-bb72-523d6235c853 · outbound

This paper cites Lebowitz, and Errico Presutti.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Lebowitz, and Errico Presutti

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Observation a18688f0-b141-40d8-8d6b-5e4eec6660fa · outbound

This paper cites Duality and hidden symmetries in interacting particle systems.Journal of Statistical Physics, 135(1):25–55, 2009.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Duality and hidden symmetries in interacting particle systems.Journal of Statistical Physics, 135(1):25–55, 2009

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Observation 5cbf3639-8057-4f49-81a7-c7564cbf7b97 · outbound

This paper cites an unresolved cited work.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Unresolved cited work

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Observation fc4af29b-a1f0-4247-8107-d29c51a9bf27 · outbound

This paper cites Differential equations with singular fields.Journal de math´ ematiques pures et appliqu´ ees, 94(6):597–621, 2010.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Differential equations with singular fields.Journal de math´ ematiques pures et appliqu´ ees, 94(6):597–621, 2010

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Observation 410cac4d-4151-49fa-92d0-9b4605de9829 · outbound

This paper cites Critical non-sobolev regularity for continuity equations with rough velocity fields.Journal of Differential Equations, 260(5):4739–4757, 2016.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Critical non-sobolev regularity for continuity equations with rough velocity fields.Journal of Differential Equations, 260(5):4739–4757, 2016

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Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Unresolved cited work

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Observation c7b1486f-d6f0-42f3-b291-235fbf47bfe1 · outbound

This paper cites Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs

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Observation 17198203-fa6a-425c-b573-8a6f8713143f · outbound

This paper cites Springer Science & Business Media, 1998.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Springer Science & Business Media, 1998

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Observation bc0d1ed0-fc9f-4f1c-91d9-6bbc50bc41f0 · outbound

This paper cites Heat flow in an exactly solvable model.Journal of Statistical Physics, 27(1):65–74, 1982.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Heat flow in an exactly solvable model.Journal of Statistical Physics, 27(1):65–74, 1982

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Observation e65463b2-c315-4463-b398-da5cb94f9eab · outbound

This paper cites Hydrodynamics and large deviation for simple exclusion processes.Communications on Pure and Applied Mathematics, 42(2):115–137, 1989.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Hydrodynamics and large deviation for simple exclusion processes.Communications on Pure and Applied Mathematics, 42(2):115–137, 1989

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Observation d25fb9e2-9f2b-4147-942e-a454d6dc4da2 · outbound

This paper cites American Mathematical Soc., 1968.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ American Mathematical Soc., 1968

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Observation be63d7bf-a43d-4133-ab74-a3f149502391 · outbound

This paper cites Structure of entropy so- lutions for multi-dimensional scalar conservation laws.Archive for rational mechanics and analysis, 170(2):137–184, 2003.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Structure of entropy so- lutions for multi-dimensional scalar conservation laws.Archive for rational mechanics and analysis, 170(2):137–184, 2003

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Observation 69861add-4d0a-4e65-b114-1454bea118a0 · outbound

This paper cites Lions, B.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Lions, B

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Observation 45d63407-5560-41eb-89d7-b96192036c4b · outbound

This paper cites Large deviations principles for stochastic scalar conservation laws.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Large deviations principles for stochastic scalar conservation laws

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Observation 2591502a-829e-4fc9-8f70-727166eef225 · outbound

This paper cites Convex integration solutions to the transport equation with full dimensional concentration.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Convex integration solutions to the transport equation with full dimensional concentration

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Observation 64b7ea3c-6026-4f37-ad28-2a6405da99c6 · outbound

This paper cites Non-uniqueness for the transport equation with sobolev vector fields.Annals of PDE, 4(2):18, 2018.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Non-uniqueness for the transport equation with sobolev vector fields.Annals of PDE, 4(2):18, 2018

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Observation 78b61821-45ae-483b-9d97-bdf157d8e4bc · outbound

This paper cites Large deviations in stochas- tic heat-conduction processes provide a gradient-flow structure for heat conduction.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Large deviations in stochas- tic heat-conduction processes provide a gradient-flow structure for heat conduction

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Observation 0830afac-cb23-45c6-8b91-efdc5ed537b5 · outbound

This paper cites Oxford University Press, Oxford, 2002.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Oxford University Press, Oxford, 2002

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Observation 2bfe4ac0-3c18-4a0b-aabc-b2b9d456a80c · outbound

This paper cites Large devi- ations for the symmetric simple exclusion process in dimensions d≥3.Probability theory and related fields, 113(1):1–84, 1999.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Large devi- ations for the symmetric simple exclusion process in dimensions d≥3.Probability theory and related fields, 113(1):1–84, 1999

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Observation e08d7fa8-9b7a-41ce-accf-cce2b671d542 · outbound

This paper cites Lattice gases, large deviations, and the incom- pressible Navier-Stokes equations.Ann.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Lattice gases, large deviations, and the incom- pressible Navier-Stokes equations.Ann

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Observation 43458cd7-2c8b-40f9-8144-21c04dff2756 · outbound

This paper cites Hydrodynamic limit for a spin system on a mul- tidimensional lattice.Probab.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Hydrodynamic limit for a spin system on a mul- tidimensional lattice.Probab

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Observation 519f855f-943f-443d-913a-bd36c0ff800a · outbound

This paper cites Diffusive limit of lattice gas with mixing condi- tions.Asian Journal of Mathematics.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Diffusive limit of lattice gas with mixing condi- tions.Asian Journal of Mathematics

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