WebThe propagation of chaos and associated law of large numbers for mean-field interacting age-dependent Hawkes processes (when the number of processes n goes to +∞) being granted by the study performed… Expand 19 Highly Influenced PDF View 4 excerpts, cites background and methods WebJun 28, 2024 · 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 mathematics. The...
Propagation of chaos: a review of models, methods and applications
WebThe theory of propagation of chaos takes its origin in the work of M. Kac [39] whose initial aim was to investigate particle system approximations of some nonlocal partial … WebOct 10, 2006 · Soliton propagation in a fiber described by the nonlinear Schrödinger equation in the presence of large periodic energy variations is examined. ... Chaos. 2006; TLDR. It is shown numerically that the period-doubling bifurcations and route to chaos are intrinsic properties of the Laser, whose appearance is independent of the details of the ... john evans clark county nevada
Topics in propagation of chaos (1991) Alain-Sol Sznitman 1265 …
WebAug 1, 2024 · The aim of this paper is to prove the strong well-posedness and a propagation of chaos property for McKean–Vlasov equations. These are SDEs where the coefficients depend on the solution of the equation and on the law of this solution. WebJun 1, 2024 · Propagation of chaos for aggregation equations with no-flux boundary conditions and sharp sensing zo... October 2016 · Mathematical Models and Methods in Applied Sciences We consider a... WebDec 1, 1998 · Propagation of chaos means that molecular chaos, i.e., the stochastic independence of two random particles in a many-particle system, persists in time, as the … john evans interior architecture \u0026 design