My research lies at the interplay between Probability theory, Analysis and Geometry. Currently, I am also working on a problem related to the scaling limits of bi-orthogonal Polya ensembles.
My research lies at the interplay between Probability theory, Analysis and Geometry. Currently, I am also working on a problem related to the scaling limits of bi-orthogonal Polya ensembles.
Spectrum of Lévy-Ornstein-Uhlenbeck semigroups on $\mathbb{R}^d$. 2025. arXiv
With Maria Gordina: Spectral theory for Lévy and Lévy-Ornstein-Uhlenbeck semigroups on step 2 Carnot groups. 2025. arXiv
With Fabrice Baudoin and Maria Gordina: Dimension Independent functional inequalities by tensorization and projection arguments. 2024. arXiv
With A. Chee, X.Y. Han, Y. Liu, P. Patie and T. Tian: Isospectral schemes for exact algorithms for stochastic processes and PDEs. 2023. Researchgate.
With Takis Konstantopoulos and Pierre Patie: A new class of solutions to the van Dantzig problem, the Lee-Yang property and the Riemann Hypothesis. Annales de l’Institut Fourier, Vol. 74 (2024) no.1, pp. 377-421, arXiv
With Pierre Patie: Weak similarity orbit of (log)-self-similar semigroups on the Euclidean space. Proceedings of the London Mathematical Society, 126(5), 2023, 1522-1584, arXiv
With Laurent Miclo and Pierre Patie: Discrete self-similar and ergodic Markov chains. Annals of Probability, 50(6), 2023, 2085-2132, arXiv
Ongoing Work:
With Pierre Patie: Scaling limits of bi-orthogonal Pólya ensembles (in preparation)