From the 1 of 668 papers with an AI index.
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6 papers · 2 filters
Critical Multi-Type Galton-Watson Trees Conditioned to be Large
Romain Abraham, Jean-François Delmas, Hongsong Guo
Under minimal condition, we prove the local convergence of a critical multi-type Galton-Watson tree conditioned on having a large total progeny by types towards a multi-type Kesten…
Local limits of galton-watson trees conditioned on the number of protected nodes
Romain Abraham, Aymen Bouaziz, Jean-François Delmas
We consider a marking procedure of the vertices of a tree where each vertex is marked independently from the others with a probability that depends only on its out-degree. We prove…
Stochastic particle approximation of the Keller-Segel equation and two-dimensional generalization of Bessel processes
Nicolas Fournier, Benjamin Jourdain
The Keller-Segel partial differential equation is a two-dimensional model for chemotaxis. When the total mass of the initial density is one, it is known to exhibit blow-up in finit…
An introduction to Galton-Watson trees and their local limits
Romain Abraham, Jean-François Delmas
The aim of this lecture is to give an overview of old and new resultson Bienaymé-Galton-Watson (BGW) trees. After introducing the framework of discretetrees, we first give alternat…
Hypocoercivity in metastable settings and kinetic simulated annealing
Pierre Monmarché
Combining classical arguments for the analysis of the simulated annealing algorithm with the more recent hypocoercive method of distorted entropy, we prove the convergence for larg…
Central Limit Theorem for Adaptative Multilevel Splitting Estimators in an Idealized Setting
Charles-Edouard Bréhier, Ludovic Goudenège, Loic Tudela
The Adaptive Multilevel Splitting algorithm is a very powerful and versatile iterative method to estimate the probability of rare events, based on an interacting particle systems.…