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10 papers · 2 filters
A stochastic analysis of resource sharing with logarithmic weights
Philippe Robert, Amandine Véber
The paper investigates the properties of a class of resource allocation algorithms for communication networks: if a node of this network has requests to transmit, then it recei…
New approaches of source-sink metapopulations decoupling the roles of demography and dispersal
Vincent Bansaye, Amaury Lambert
Source-sink systems are metapopulations of habitat patches with different, and possibly temporally varying, habitat qualities, which are commonly used in ecology to study the fate…
Viscosity solutions of fully nonlinear parabolic path dependent PDEs: Part II
Ibrahim Ekren, Nizar Touzi, Jianfeng Zhang
In our previous paper [Ekren, Touzi and Zhang (2015)], we introduced a notion of viscosity solutions for fully nonlinear path-dependent PDEs, extending the semilinear case of Ekren…
Viscosity Solutions of Fully Nonlinear Parabolic Path Dependent PDEs: Part I
Ibrahim Ekren, Nizar Touzi, Jianfeng Zhang
The main objective of this paper and the accompanying one \cite{ETZ2} is to provide a notion of viscosity solutions for fully nonlinear parabolic path-dependent PDEs. Our definitio…
Birth and death processes with neutral mutations
Nicolas Champagnat, Amaury Lambert, Mathieu Richard
In this paper, we review recent results of ours concerning branching processes with general lifetimes and neutral mutations, under the infinitely many alleles model, where mutation…
Semi-infinite paths of the 2d-Radial Spanning Tree
François Baccelli, David Coupier, Viet Chi Tran
We study semi-infinite paths of the radial spanning tree (RST) of a Poisson point process in the plane. We first show that the expectation of the number of intersection points betw…