5 citations · 12 across the 14 of their papers we have counts for
13 papers · 1 filter
Interference Queueing Networks: A Replica Mean-Field Approach in the Symmetric Setting
Philippe Sarotte, Nahuel Soprano-Loto, François Baccelli
We propose a model for evaluating the performance of wireless communication networks beyond the ubiquitous full-buffer assumption, under which every transmitter is always active. T…
The Relay Random Tree: A Stochastic Geometry Approach of Multihop Relay in an Urban Visibility Setting
Paul Rax, François Baccelli
In a recent work (Lee, Baccelli ), a one dimensional stochastic geometry model was introduced to study Line of Sight (LoS) connections using Reconfigurable Intelligent Surface…
The Skyline Process: Quantifying Sky Visibility in 3D Urban Environments
Junse Lee, François Baccelli
Non-terrestrial networks (NTNs) are considered a promising technology for seamless, universal communication in the 6G era. However, signals from NTN elements to ground users are of…
On a Class of Dynamical Poisson-Voronoi Tessellations
François Baccelli, Sanjoy Kumar Jhawar
Consider a dynamical network model featuring mobile stations on the Euclidean plane. The initial locations of the stations are given by a homogeneous Poisson point process. The sta…
Hierarchical Clustering Algorithms on Poisson and Other Stationary Point Processes
Sayeh Khaniha, François Baccelli
This paper introduces a hierarchical clustering algorithm, the Clustroid Hierarchical Nearest Neighbor (), designed for datasets with a countably infinite number of…
Genealogies of records of stochastic processes with stationary increments as unimodular trees
François Baccelli, Bharath Roy Choudhury
Consider a stationary sequence of integer-valued random variables with mean . Let be the stochastic process with increments and suc…
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…
Metastability of Queuing Networks with Mobile Servers
F. Baccelli, A. Rybko, S. Shlosman +1
We study symmetric queuing networks with moving servers and FIFO service discipline. The mean-field limit dynamics demonstrates unexpected behavior which we attribute to the meta-s…
Point-Map-Probabilities of a Point Process and Mecke's Invariant Measure Equation
François Baccelli, Mir-Omid Haji-Mirsadeghi
A compatible point-shift maps, in a translation invariant way, each point of a stationary point process to some point of . It is fully determined by its associated point…