5 papers
The flux of particles in a one-dimensional Fleming-Viot process
Éric Brunet, Bernard Derrida
The Fleming-Viot process describes a system of particles diffusing on a graph with an absorbing site. Whenever one of the particles is absorbed, it is replaced by a new particl…
Operator Spreading, Duality, and the Noisy Long-Range FKPP Equation
Tianci Zhou, Éric Brunet, Xiaolin Qi
Operator spreading provides a new characterization of quantum chaos beyond the semi-classical limit. There are two complementary views of how the characteristic size of an operator…
Innovation and imitation
Jess Benhabib, Éric Brunet, Mildred Hager
We study several models of growth driven by innovation and imitation by a continuum of firms, focusing on the interaction between the two. We first investigate a model on a technol…
A simple backward construction of Branching Brownian motion with large displacement and applications
Julien Berestycki, Éric Brunet, Aser Cortines +1
In this article, we study the extremal processes of branching Brownian motions conditioned on having an unusually large maximum. The limiting point measures form a one-parameter fa…
A note of the convergence of the Fisher-KPP front centred around its -level
Julien Berestycki, Éric Brunet
We consider the solution of the Fisher-KPP equation centred around its -level defined as . It is well k…