Propagation of chaos: a review of models, methods and applications. I. Models and methods
LP Chaintron, A Diez - arXiv preprint arXiv:2203.00446, 2022 - arxiv.org
The notion of propagation of chaos for large systems of interacting particles originates in
statistical physics and has recently become a central notion in many areas of applied …
statistical physics and has recently become a central notion in many areas of applied …
Propagation of chaos: a review of models, methods and applications. II. Applications
LP Chaintron, A Diez - arXiv preprint arXiv:2106.14812, 2021 - arxiv.org
The notion of propagation of chaos for large systems of interacting particles originates in
statistical physics and has recently become a central notion in many areas of applied …
statistical physics and has recently become a central notion in many areas of applied …
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
This paper proposes a review focused on exotic chemotaxis and cross-diffusion models in
complex environments. The term exotic is used to denote the dynamics of models interacting …
complex environments. The term exotic is used to denote the dynamics of models interacting …
A multiscale model of virus pandemic: Heterogeneous interactive entities in a globally connected world
This paper is devoted to the multidisciplinary modelling of a pandemic initiated by an
aggressive virus, specifically the so-called SARS–CoV–2 Severe Acute Respiratory …
aggressive virus, specifically the so-called SARS–CoV–2 Severe Acute Respiratory …
Towards a mathematical theory of behavioral human crowds
The first part of our paper presents a general survey on the modeling, analytic problems, and
applications of the dynamics of human crowds, where the specific features of living systems …
applications of the dynamics of human crowds, where the specific features of living systems …
What is life? A perspective of the mathematical kinetic theory of active particles
The modeling of living systems composed of many interacting entities is treated in this paper
with the aim of describing their collective behaviors. The mathematical approach is …
with the aim of describing their collective behaviors. The mathematical approach is …
Asymptotic-preserving schemes for multiscale physical problems
S Jin - Acta Numerica, 2022 - cambridge.org
We present the asymptotic transitions from microscopic to macroscopic physics, their
computational challenges and the asymptotic-preserving (AP) strategies to compute …
computational challenges and the asymptotic-preserving (AP) strategies to compute …
[PDF][PDF] Human behavioral crowds review, critical analysis and research perspectives
1612 N. Bellomo et al. the modeling of traffic and crowds: A survey of models, speculations,
and perspectives, SIAM Rev. 53 (2011) 409–463], thus providing important research …
and perspectives, SIAM Rev. 53 (2011) 409–463], thus providing important research …
ACMP: Allen-cahn message passing with attractive and repulsive forces for graph neural networks
Neural message passing is a basic feature extraction unit for graph-structured data
considering neighboring node features in network propagation from one layer to the next …
considering neighboring node features in network propagation from one layer to the next …
Acmp: Allen-cahn message passing for graph neural networks with particle phase transition
Neural message passing is a basic feature extraction unit for graph-structured data
considering neighboring node features in network propagation from one layer to the next …
considering neighboring node features in network propagation from one layer to the next …