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.
With Maria Gordina, Liangbing Luo, and Andrea Pinamonti: Heat content and spectrum for subordinated sub-Laplacians. 2026. arXiv, Researchgate.
Spectral theory of non-local Ornstein-Uhlenbeck operators. 2026. arXiv, Researchgate
Fractional heat content asymptotics for Carnot groups. 2026. arXiv
Small time asymptotics of spectral heat content of isotropic processes. 2025. Probability Theory and Related Fields, major revision requested. 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. to appear in Mathematische Nachrichten. arXiv
With A. Chee, X.Y. Han, Y. Liu, P. Patie and T. Tian: Isospectral schemes for exact algorithms for stochastic processes and PDEs. Numerical Algorithms, 2025. DOI: https://doi.org/10.1007/s11075-025-02304-5.
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)