Research

Preprints

My preprints are also listed on my ORCID, arXiv and Research Gate profiles. Comments, questions and corrections are more than welcome.

• Yuri Bakhtin, Renaud Raquépas and Lai-Sang Young.
  Random attractors and nonergodic attractors for diffusions with degeneracies.
  • arXiv:2508.20968 [math.PR]


• Elias Hess-Childs, Renaud Raquépas and Keefer Rowan.
  Divergence-free drifts decrease concentration.
  • arXiv:2503.16723 [math.AP]


• Nicholas Barnfield, Raphaël Grondin, Gaia Pozzoli and Renaud Raquépas.
  On the Ziv–Merhav theorem beyond Markovianity II.
  • arXiv:2312.02098 [math.PR]
  • Short note for the IEEE International Symposium on Information Theory
  • Code

Peer-reviewed articles

My publications are also listed on my ORCID, arXiv and Research Gate profiles. Comments and questions and corrections are more than welcome.

• Zhizhang Wu, Renaud Raquépas, Jack Xin and Zhiwen Zhang.
  Computing large deviation rate functions of entropy production for diffusion processes by an interacting particle method.
  SIAM Journal on Scientific Computing 47(6):A3330–A3355 (2025).
  • DOI:10.1137/24M1720172
  • arXiv:2403.19223 [math.NA]


• Jeffrey Schenker and Renaud Raquépas.
  Quenched large deviations of Birkhoff sums along random quantum measurements.
  Annales Henri Poincaré: Online First (2025).
  • DOI:10.1007/s00023-025-01553-3
  • arXiv:2410.15465 [math-ph]


• Nicholas Barnfield, Raphaël Grondin, Gaia Pozzoli and Renaud Raquépas.
  On the Ziv–Merhav theorem beyond Markovianity I.
  Canadian Journal of Mathematics 77(3):891-915 (2025).
  • DOI:10.4153/S0008414X24000178
  • arXiv:2310.01367 [math.IT]


• Noé Cuneo and Renaud Raquépas.
  Large deviations of return times and related entropy estimators on shift spaces.
  Communications in Mathematical Physics 405: Article 135 (2024).
  • DOI:10.1007/s00220-024-04995-8
  • arXiv:2306.05277 [math.PR]


• Renaud Raquépas.
  The large-time and vanishing-noise limits for entropy production in nondegenerate diffusions.
  Annales de l'Institut Henri Poincaré – Probabilités et Statistiques 60(1):431–462 (2024).
  • DOI:10.1214/22-AIHP1336
  • arXiv:2004.12015 [math-ph]


• Giampaolo Cristadoro, Mirko Degli Esposti, Vojkan Jakšić and Renaud Raquépas.
  On a waiting-time result of Kontoyiannis: mixing or decoupling?
  Stochastic Processes and their Applications 166:104022 (2023).
  • DOI:10.1016/j.spa.2023.09.009
  • arXiv:2209.09717 [math.PR]


• Renaud Raquépas.
  A gapped generalization of Kingman's subadditive ergodic theorem.
  Journal of Mathematical Physics 64(6):062702 (2023).
  • DOI:10.1063/5.0142431
  • arXiv:2211.13134 [math.DS]


• Giampaolo Cristadoro, Mirko Degli Esposti, Vojkan Jakšić and Renaud Raquépas.
  Recurrence times, waiting times and universal entropy production estimators.
  Letters in Mathematical Physics 113(1): Article 19 (2023).
  • DOI:10.1007/s11005-023-01640-8
  • arXiv:2209.09716 [math-ph]


• Simon Andréys, Alain Joye and Renaud Raquépas.
  Fermionic walkers driven out of equilibrium.
  Journal of Statistical Physics 184(2): Article 14 (2021).
  • DOI:10.1007/s10955-021-02795-1
  • arXiv:2009.00604 [math-ph]


• Vahagn Nersesyan and Renaud Raquépas.
  Exponential mixing under controllability conditions for SDEs driven by a degenerate Poisson noise.
  Stochastic Processes and their Applications 138:26–55 (2021).
  • DOI:10.1016/j.spa.2021.04.001
  • arXiv:1903.08089 [math.PR]


• Renaud Raquépas.
  On Fermionic walkers interacting with a correlated structured environment.
  Letters in Mathematical Physics 110(1):121–145 (2020).
  • DOI:10.1007/s11005-019-01215-6
  • arXiv:1902.03703 [math-ph]


• Tristan Benoist, Annalisa Panati and Renaud Raquépas.
  Control of fluctuations and heavy tails for heat variation in the two-time measurement framework.
  Annales Henri Poincaré 20(2):631–674 (2019).
  • DOI:10.1007/s00023-018-0743-x
  • arXiv:1802.02073 [math-ph]


• Renaud Raquépas.
  A note on Harris’ ergodic theorem, controllability and perturbations of harmonic networks.
  Annales Henri Poincaré 20(2):605–629 (2019).
  • DOI:10.1007/s00023-018-0740-0
  • arXiv:1801.05375 [math-ph]


• Eric P. Hanson, Alain Joye, Yan Pautrat and Renaud Raquépas.
  Landauer’s principle for trajectories of repeated interaction systems.
  Annales Henri Poincaré 19(7):1939–1991 (2018).
  • DOI:10.1007/s00023-018-0679-1
  • arXiv:1705.08281 [math-ph]


• Eric P. Hanson, Alain Joye, Yan Pautrat and Renaud Raquépas.
  Landauer’s principle in repeated interaction systems.
  Communications in Mathematical Physics 349(1):285–327 (2017).
  • DOI:10.1007/s00220-016-2751-3
  • arXiv:1510.00533 [math-ph]

Talks

Some recent talks at local seminars as well as conferences are listed below.

Toronto Probability Seminar Fields Institute, Toronto Random attractors and nonergodic attractors for diffusions with degeneracies

October 20, 2025

Probability Seminar Duke University Random attractors and nonergodic attractors for diffusions with degeneracies

September 6, 2025

Great Lakes Mathematical Physics Meeting 2025 Lexington, Kentucky Limit theorems for recurrence-based estimators of entropy and entropy production

June 6, 2025

IEEE International Symposium on Information Theory Athens, Greece Ziv–Merhav estimation for hidden-Markov processes

July 12, 2024

International Congress of Mathematical Physics XXI Strasbourg, France Large deviations of return times and related entropy estimators on shift spaces

July 5, 2024

Séminaire du Laboratoire de mathématiques appliquées du Havre Université du Havre La production d'entropie dans le cadre des diffusions non dégénérées

February 22, 2024

Mini-Workshop on Entropy in Complex Processes Mathematical Institute of the Serbian Academy of Sciences and Arts Return times and waiting times as entropy estimators I

December 9, 2023

Frontiers in Mathematical Physics CY Advanced Studies, CY Cergy Paris Université Return times and waiting times as entropy estimators I

June 27, 2023

Dynamical Systems Seminar Courant Institute, New York University Limit theorems for recurrence times on one-sided shifts

Feb. 22 and March 1, 2023

Seminar on Mathematical Physics and Operator Algebras Michigan State University Estimation of entropy production on the one-sided shift

December 12, 2022

Dynamical Systems Seminar Courant Institute, New York University Results and open problems on entropy production

Sept. 15 and 29, 2022

Second AMS-EMS-SMF International Meeting Université Grenoble Alpes Repeated quantum measurements and universal entropy-production estimators

July 20, 2022

New Directions in Disordered Systems CY Advanced Studies, CY Cergy Paris Université Entropy production in nondegenerate diffusions: the large-time and small-noise limits

June 27, 2022

Final Meeting of the NONSTOPS Project: Beyond Gibbsianity Université de Toulon Repeated quantum measurements and universal estimation of entropic quantities

June 17, 2022

Séminaire de probabilités Institut mathématique de Toulouse, Université Paul-Sabatier Irréversibilité, production d’entropie et diffusions

April 12, 2022

Mathematical Physics Seminar Institut Camille-Jordan, Université Claude Bernard Lyon 1 Entropy production in nondegenerate diffusions: the large-time and small-noise limits

March 25, 2022

Groupe de travail Structures et modèles aléatoires Laboratoire Probabilité, statistique et modélisation, Université de Paris Production d’entropie dans le cadre des diffusions non dégénérées

December 9, 2021

Séminaire de physique mathématique Institut Fourier, Université Grenoble Alpes Production d’entropie dans le cadre des diffusions non dégénérées

November 22, 2021

Young Researchers Symposium International Congress of Mathematical Physics XX, Geneva Fermionic Walkers Driven out of Equilibrium

July 29, 2021

Colloque panquébécois de l'ISM Zoom, Montréal Production d'entropie et diffusions non dégénérées (Carl Herz Prize Talk)

May 22, 2021

Séminaire analyse, géométrie et modélisation CY Cergy Paris Université, Cergy-Pontoise La production d’entropie dans le cadre des diffusions non dégénérées

March 15, 2021

13e rencontre du GDR DYNQUA Zoom, Dijon Entropy production in nondegenerate diffusions: the large-time and small-noise limits

March 11, 2021

Pisa Online Probability Seminar Zoom, Pisa Entropy production in nondegenerate diffusions: the large-time and small-noise limits

February 23, 2021

Séminaire dynamique quantique et classique Zoom, Centre de physique théorique de Toulon Transport et production d’entropie pour des systèmes de type « marche quantique »

February 10, 2021