Zobrazeno 1 - 10
of 62 686
pro vyhledávání: '"particle system"'
Autor:
Liao, Huafu, Mou, Chenchen
This paper studies the $N$-particle systems as well as the HJB/master equations for a class of generalized mean field control (MFC) problems and the corresponding potential mean field games of control (MFGC). A local in time classical solution for th
Externí odkaz:
http://arxiv.org/abs/2412.11742
Autor:
Itoh, Yoshiaki
We consider an interacting particle system on star graphs. As in the case of the Kdv equation, we have infinitely many invariants ( here, martingale invariants). It enables us to obtain the limiting distribution of the Markov chain. Each of the marti
Externí odkaz:
http://arxiv.org/abs/2412.14777
The eigenvalue spectrum of the sum of large random matrices that are mutually "free", i.e. randomly rotated, can be obtained using the formalism of R-transforms, with many applications in different fields. We provide a direct interpretation of the ot
Externí odkaz:
http://arxiv.org/abs/2412.03696
Publikováno v:
Gonz\'alez-Tokman C, Oelz DB. 2024 Asymptotic limits of transient patterns in a continuous-space interacting particle system. Proc. R. Soc. A 480: 20230754
We study a discrete-time interacting particle system with continuous state space which is motivated by a mathematical model for turnover through branching in actin filament networks. It gives rise to transient clusters reminiscent of actin filament a
Externí odkaz:
http://arxiv.org/abs/2409.19175
We propose a collision-oriented particle system to approximate a class of Landau-type equations. This particle system is formally derived from a particle system with random collisions in the grazing regime, and happens to be a special random batch sy
Externí odkaz:
http://arxiv.org/abs/2408.16252
In this paper, we prove that the Kac stochastic particle system converges to the weak solution of the spatially homogeneous Boltzmann equation for hard potentials and hard spheres. We give, under the initial data with finite exponential moment assump
Externí odkaz:
http://arxiv.org/abs/2409.04031
Autor:
Huang, Xing
In this paper, uniform in time quantitative propagation of chaos in $L^1$-Wasserstein distance for mean field interacting particle system is derived, where the diffusion coefficient is allowed to be interacting and the drift is assumed to be partiall
Externí odkaz:
http://arxiv.org/abs/2409.01606
We study a system of stochastic differential equations with singular drift which describes the dynamics of signed particles in two dimensions interacting by the Coulomb potential. In contrast to the well-studied cases of identical particles that eith
Externí odkaz:
http://arxiv.org/abs/2410.15855
In this paper, we study the estimation of drift and diffusion coefficients in a two dimensional system of N interacting particles modeled by a degenerate stochastic differential equation. We consider both complete and partial observation cases over a
Externí odkaz:
http://arxiv.org/abs/2410.10226
Publikováno v:
Chaos 34, 103104 (2024)
When an electron in a semiconductor gets excited to the conduction band the missing electron can be viewed as a positively charged particle, the hole. Due to the Coulomb interaction electrons and holes can form a hydrogen-like bound state called exci
Externí odkaz:
http://arxiv.org/abs/2409.08225