1 citations · 2 across the 3 of their papers we have counts for
5 papers · 1 filter
The Pair-Replica-Mean-Field Limit for Intensity-based Neural Networks
François Baccelli, Thibaud Taillefumier
Replica-mean-field models have been proposed to decipher the activity of neural networks via a multiply-and-conquer approach. In this approach, one considers limit networks made of…
Doeblin Trees
François Baccelli, Mir-Omid Haji-Mirsadeghi, James T. Murphy
This paper is centered on the random graph generated by a Doeblin-type coupling of discrete time processes on a countable state space whereby when two paths meet, they merge. This…
Unimodular Billingsley and Frostman Lemmas
François Baccelli, Mir-Omid Haji-Mirsadeghi, Ali Khezeli
The notions of unimodular Minkowski and Hausdorff dimensions are defined in [arXiv:1807.02980] for unimodular random discrete metric spaces. The present paper is focused on the con…
Unimodular Hausdorff and Minkowski Dimensions
François Baccelli, Mir-Omid Haji-Mirsadeghi, Ali Khezeli
This work introduces two new notions of dimension, namely the unimodular Minkowski and Hausdorff dimensions, which are inspired from the classical analogous notions. These dimensio…
Renewal Population Dynamics and their Eternal Family Trees
François Baccelli, Antonio Sodre
Based on a simple object, an i.i.d. sequence of positive integer-valued random variables, , we introduce and study two random structures and their connec…