Thèse - Calcul stochastique dans les variétés et applications aux inégalités fonctionnelles
J'ai travaillé ma thèse (manuscrit) sous la direction de Marc Arnaudon et Michel Bonnefont (Univ. Bordeaux). J'ai soutenu en Décembre 2020 (diapo).
Articles soumis.
A. Debussche, B. H - Law of large numbers for stochastic multiscale spatial gene networks, 2026 (preprint)
Articles publiés.
D. Garcìa-Zelada, B. H - Brenier-Schrödinger problem on compact manifolds with boundary. Stoch. Anal. Appl. - 426:454 - vol 40(3), 2022 (preprint)
B. H - Intertwining relations for diffusions in manifolds and applications to functional inequalities. Stoch. Process. their Appl. - 1:28 - vol. 145, 2022 (preprint)
B. H - Poincaré inequality and curvature -dimension criterion for generalised Cauchy and convex measures. Bernoulli - 2207:2227 - vol. 30(3), 2024 (preprint)
B. H - Logarithmic Sobolev inequalities for generalised Cauchy measures. Potential Anal. - vol. 64, 2026 (preprint).
B. H - Strong approximation and central limit theorems for multiscale gene networks. ALEA - vol. 23, 2026 (preprint)
R. Herry, B. H - The Brenier-Schrödinger problem with respect to Feller semimartingales and non-local Hamilton-Jacobi-Bellman equations. J. Theor. Pobab. - vol. 39(3), 2026 (preprint)
E. Bronasco, A. Busnot Laurent, B. H - High order integration of stochastic dynamics on Riemannian manifolds with frozen flow methods. A paraître dans Found. Comput. Math., 2025 (preprint)