21 citations · 52 across the 5 of their papers we have counts for
5 papers
Effective dimensional reduction of complex systems based on tensor networks
Wout Merbis, Madelon Geurts, Clélia de Mulatier +1
The exact treatment of Markovian models of complex systems requires knowledge of probability distributions exponentially large in the number of components . Mean-field approxima…
Abstract Markov Random Fields
Leon Lang, Clélia de Mulatier, Rick Quax +1
Markov random fields are known to be fully characterized by properties of their information diagrams, or I-diagrams. In particular, for Markov random fields, regions in the I-diagr…
Clustering of branching Brownian motions in confined geometries
Andrea Zoia, Eric Dumonteil, Alain Mazzolo +2
We study the evolution of a collection of individuals subject to Brownian diffusion, reproduction and disappearance. In particular, we focus on the case where the individuals are i…
Universal properties of branching random walks in confined geometries
Clélia de Mulatier, Alain Mazzolo, Andrea Zoia
Characterizing the occupation statistics of a radiation flow through confined geometries is key to such technological issues as nuclear reactor design and medical diagnosis. This a…
Cauchy's formulas for random walks in bounded domains
Alain Mazzolo, Clélia de Mulatier, Andrea Zoia
Cauchy's formula was originally established for random straight paths crossing a body and basically relates the average chord length through to the r…