Research

Preprints

My preprints are also listed on my ORCID, arXiv and Research Gate profiles. Comments, 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 in the vanishing-noise limit and high dimensions by an interacting particle method.
  • arXiv:2403.19223 [math.NA]


• Nicholas Barnfield, Raphaël Grondin, Gaia Pozzoli and Renaud Raquépas.
  On the Ziv–Merhav theorem beyond Markovianity II.
  • arXiv:2312.02098 [math.PR]

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.

• 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]


• Nicholas Barnfield, Raphaël Grondin, Gaia Pozzoli and Renaud Raquépas.
  On the Ziv–Merhav theorem beyond Markovianity I.
  To appear in Canadian Journal of Mathematics.
  • DOI:10.4153/S0008414X24000178
  • arXiv:2310.01367 [math.IT]


• 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

In addition to the Mathematical physics seminar at McGill University and several student seminars, I have presented my research on the following occasions.

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

Séminaire d’analyse CRM-Montréal-Québec Zoom, Montréal Entropy production in nondegenerate diffusions: the large-time and small-noise limits

December 11, 2020

CRM-ISM Probability Seminar Zoom, Montréal Entropy production in nondegenerate diffusions: the large-time and small-noise limits

November 25, 2020

Stochastic Problems in Mathematical Physics and Economics Université de Paris (Diderot) Entropy production in nondegenerate diffusions: the large-time and small-noise limits

February 24, 2020

UCP-IEA Working Seminar Institut des études avancées, Neuville-sur-Oise The large-time and small-noise limits of entropy production in nondegenerate diffusions

November 14, 2019

The Analysis of Complex Quantum Systems Centre international de rencontres mathématiques, Marseille Tails of the distribution of heat variations in the two-time measurement framework

October 24, 2019

School and Workshop on Mixing and Control International Centre for Theoretical Physics, Trieste A Controllability approach to SDEs driven by degenerate noises and applications to networks of oscillators

September 18, 2019

Quantissima in the Serenissima III Palazzo Pesaro-Papafava, Venice Fermionic walkers interacting with a structured environment

August 20, 2019

Analysis Seminar Northeastern University, Boston Invariant measures for SDEs with degenerate noises

April 17, 2019

Workshop: Entropic Fluctuation Relations in Mathematics and Physics Centre de Recherches Mathématiques, Montréal Tails of the distribution of heat variations in the two-time measurement framework

October 31, 2018

Solid Math 2018 McGill University, Montréal Tails of the distribution of heat variations in the two-time measurement framework

August 2, 2018

Young Researcher Symposium XIX International Congress on Mathematical Physics, Montréal Control theory in the study of mixing properties of networks of oscillators interacting with thermal baths

July 20, 2018

Séminaire de probabilité et statistiques Laboratoire de Mathématiques de Versailles, Université de Versailles Saint-Quentin-en-Yvelines Mesure invariante pour un réseau d’oscillateurs en interaction avec des bains à différentes températures

March 13, 2018

Arizona School of Analysis and Mathematical Physics University of Arizona, Tucson The Landauer principle and repeated interaction systems

March 9, 2018

Séminaire de physique mathématique Institut Fourier, Université Grenoble Alpes Le Principe de Landauer dans les systèmes à interactions répétées

June 20, 2016

First meeting of the MISTEQ project Laboratoire de physique théorique, Université de Toulouse III Paul-Sabatier Landauer’s principle in repeated interaction systems

May 27, 2016