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- Centre National de la Recherche ScientifiqueFR398 papers
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9 papers · 2 filters
Second order BSDE under monotonicity condition and liquidation problem under uncertainty *
Alexandre Popier, Chao Zhou
In this work we investigate an optimal closure problem under Knightian uncertainty. We obtain the value function and an optimal control as the minimal (super-)solution of a second…
Directed, cylindric and radial Brownian webs
David Coupier, Jean-François Marckert, Viet Chi Tran
The Brownian web (BW) is a collection of coalescing Brownian paths indexed by the plane. It appears in particular as continuous limit of various discrete models of directed forests…
Mod-Gaussian convergence for random determinants and random characteristic polynomials
Martina Dal Borgo, Emma Hovhannisyan, Alain Rouault
The aim of this paper is to give a precise asymptotic description of some eigenvalue statistics stemming from random matrix theory. More precisely, we consider random determinants…
Propagation of epistemic uncertainty in queueing models with unreliable server using chaos expansions
Katia Bachi, Cédric Chauvière, Hacène Djellout +1
In this paper, we develop a numerical approach based on Chaos expansions to analyze the sensitivity and the propagation of epistemic uncertainty through a queueing systems with bre…
Perpetual integrals convergence and extinctions in population dynamics
Camille Coron, Sylvie Méléard, Denis Villemonais
In this article we use a criterion for the integrability of paths of one-dimensional diffusion processes from which we derive new insights on allelic fixation in several situations…
Couplings and quantitative contraction rates for Langevin dynamics
Andreas Eberle, Arnaud Guillin, Raphael Zimmer
We introduce a new probabilistic approach to quantify convergence to equilibrium for (kinetic) Langevin processes. In contrast to previous analytic approaches that focus on the ass…