Heilbronn Colloquium 2022: Pierre Del Moral

01 Aug 2022, by Kelly Woodcock in Events

14 September 2022 at 16:00 – 17:00
Lecture theatre 2.41, Fry Building, School of Mathematics, Bristol, UK

We are delighted to welcome Professor Pierre Del Moral, INRIA at the University of Bordeaux, to the University of Bristol to deliver a Heilbronn Colloquium.

Title: Stability of positive semigroups and their mean field interpretations

Abstract: This talk is concerned with the stability of positive semigroups and their mean field particle interpretations.

We present a stochastic interpolation methodology based on backward semigroup techniques to obtain
sharp quantitative estimates uniformly with respect to the time parameter. The stability analysis discussed in this talk is based on the extension of V-norm contraction methods for Markov operators, to nonlinear normalized semigroups. In the context of unnormalized models, we also present extensions of Perron-Frobenius and Krein-Rutman theorems for positive operators to time-varying positive semigroups.

We illustrate the impact of these stochastic perturbation techniques in the context of diffusion Monte Carlo ground state calculation, Feynman-Kac branching particle interpretations as well as McKean-Vlasov interacting diffusions.

The talks will be held in-person only. Spaces are limited in the room, so we ask that you please register via this form if you are intending to come in person. Once capacity is reached, we will close registration and any current remaining spaces will be allocated on a first come basis.

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