Renaud Raquépas

I am an Assistant Professor at UNC Charlotte. Prior to this, I was a Phillip Griffiths Assistant Research Professor in the Department of Mathematics at Duke University, a Courant Instructor in the Mathematics Department of the Courant Institute at New York University, and a postdoctoral reasearcher in mathematics at CY Cergy Paris Université (Laboratoire AGM).

Find more about me on the About page or by visiting my ORCID, arXiv and Research Gate profiles.

Research Interests

Motivated by (mostly time-dependent aspects of) statistical mechanics, in both quantum and classical systems, I study, develop and apply tools from branches of mathematics such as:

• probability theory (large deviations, stochastic differential equations);
• dynamical systems and ergodic theory (recurrence, mixing, theory of C*-algebras, random dynamical systems);
• operator theory (spectra, resolvents, perturbation theory, one-parameter semigroups).

I am also interested by applications to other fields such as statistics and information theory.

Preprints and publications

Links to archived PDFs and more details can be found on the Research page.

• G. Pozzoli and R. Raquépas. On the conservation of specific energy and entropy in infinite anharmonic systems.
• Y. Bakhtin, R. Raquépas and L.-S. Young. Random attractors and nonergodic attractors for diffusions with degeneracies.
• N. Barnfield, R. Grondin, G. Pozzoli and R. Raquépas. On the Ziv–Merhav theorem beyond Markovianity II.
• E. Hess-Childs, R. Raquépas and K. Rowan. Divergence-free drifts decrease concentration. J. Funct. Anal., 290, 111314 (2026).
• J. Schenker and R. Raquépas. Quenched large deviations of Birkhoff sums along random quantum measurements. Ann. Henri Poincaré, 27, 731–755 (2026).
• Z. Wu, R. Raquépas, J. Xin and Z. Zhang Computing large deviation rate functions of entropy production for diffusion processes by an interacting particle method. SIAM J. Sci. Comput. 47, A3330–A3355 (2025).
• N. Barnfield, R. Grondin, G. Pozzoli and R. Raquépas. On the Ziv–Merhav theorem beyond Markovianity I. Can. J. Math. 77, 891-915 (2025)
• N. Cuneo and R. Raquépas. Large deviations of return times and related entropy estimators on shift spaces. Commun. Math. Phys. 405, Article 135 (2024).
• R. Raquépas. The large-time and vanishing-noise limits for entropy production in nondegenerate diffusions. Ann. Inst. Henri Poincaré Probab. Stat. 60, 431–462 (2024).
• G. Cristadoro, M. Degli Esposti, V. Jakšić and R. Raquépas. On a waiting-time result of Kontoyiannis: mixing or decoupling? Stoch. Proc. Appl. 166, 104222 (2023).
• R. Raquépas. A gapped generalization of Kingman's subadditive ergodic theorem. J. Math. Phys. 64, 062702 (2023).
• G. Cristadoro, M. Degli Esposti, V. Jakšić and R. Raquépas. Recurrence times, waiting times and universal entropy production estimators. Lett. Math. Phys. 113, Article 19 (2023).
• S. Andréys, A. Joye and R. Raquépas. Fermionic walkers driven out of equilibrium. J. Stat. Phys. 184, Article 14 (2021).
• V. Nersesyan and R. Raquépas. Exponential mixing under controllability conditions for SDEs driven by a degenerate Poisson noise. Stoch. Proc. Appl. 138, 26–55 (2021).
• R. Raquépas. On Fermionic walkers interacting with a correlated structured environment. Lett. Math. Phys. 110, 121–145 (2020).
• T. Benoist, A. Panati and R. Raquépas. Control of fluctuations and heavy tails for heat variation in the two-time measurement framework. Ann. Henri Poincaré 20, 631–674 (2019).
• R. Raquépas. A note on Harris’ ergodic theorem, controllability and perturbations of harmonic networks. Ann. Henri Poincaré 20, 605–629 (2019).
• E. P. Hanson, A. Joye, Y. Pautrat and R. Raquépas. Landauer’s principle for trajectories of repeated interaction systems. Ann. Henri Poincaré 19, 1939–1991 (2018).
• E. P. Hanson, A. Joye, Y. Pautrat and R. Raquépas. Landauer’s principle in repeated interaction systems. Commun. Math. Phys. 349, 285–327 (2017).