4 papers · 1 filter
Stochastic proof of upper bound for the heat kernel coupled with geometric flow, and Ricci flow
Koléhé Abdoulaye Coulibaly-Pasquier
We give a proof of Gaussian upper bound for the heat kernel coupled with the Ricci ow. Previous proofs by Lei Ni [5] use Harnack inequality and doubling volume property, also the r…
Onsager-Machlup functional for uniformly elliptic time-inhomogeneous diffusion
Koléhé Abdoulaye Coulibaly-Pasquier
In this paper we will make the computation of the Onsager-Machlup functional of an inhomogeneous uniformly elliptic diffusion process. This functional will have formally the same p…
Some stochastic process without birth, linked to the mean curvature flow
Koléhé Abdoulaye Coulibaly-Pasquier
Using Huisken results about the mean curvature flow on a strictly convex hypersurface, and Kendall-Cranston coupling, we will build a stochastic process without birth, and show tha…
Brownian motion with respect to time-changing Riemannian metrics, applications to Ricci flow
Koléhé Abdoulaye Coulibaly-Pasquier
We generalize Brownian motion on a Riemannian manifold to the case of a family of metrics which depends on time. Such questions are natural for equations like the heat equation wit…