Found 1683 results, sorted by relevancy. Show newest relevant.Update me on new preprints

On the mean-field limit for the Vlasov-Poisson-Fokker-Planck system

We rigorously justify the mean-field limit of a $N$-particle system subject to the Brownian motion and interacting through a Newtonian potential in $\mathbb{R}^3$. Expand abstract.
676 days ago
10/10 relevant
arXiv

On a Mean Field Optimal Control Problem

We notice this model is in close connection with the theory of mean-field games systems. Expand abstract.
154 days ago
10/10 relevant
arXiv

Improved treatment of fermion-boson vertices and Bethe-Salpeter equations in non-local extensions of dynamical mean field theory

The method is tested on the Hubbard model and can be used in a broad range of applications of non-local extensions of dynamical mean-field theory. Expand abstract.
200 days ago
10/10 relevant
arXiv

Mean Field Theory for Lyapunov Exponents and KS Entropy in Lorentz Lattice Gases

The computer results show a distribution of values for the dynamical quantities with average values that are in good agreement with the mean field theory, and consistent with the escape-rate formalism for the coefficient of diffusion. Expand abstract.
9191 days ago
10/10 relevant
arXiv

Minimal-time mean field games

After a preliminary study of the corresponding minimal-time optimal control problem, we formulate the mean field game in a Lagrangian setting and prove existence of Lagrangian equilibria using a fixed point strategy. Expand abstract.
686 days ago
10/10 relevant
arXiv

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces

We establish explicit curvature bounds for several examples of mean-field limits of various classical models from statistical mechanics. Expand abstract.
199 days ago
10/10 relevant
arXiv

Mean field theory for deep dropout networks: digging up gradient backpropagation deeply

The mean field theory shows that the existence of depth scales that limit the maximum depth of signal propagation and gradient backpropagation. Expand abstract.
67 days ago
10/10 relevant
arXiv

Mean Field Limit for Coulomb-Type Flows

In the appendix, it is also adapted to prove the mean-field convergence of the solutions to Newton's law with Coulomb or Riesz interaction in the monokinetic case to solutions of an Euler-Poisson type system. Expand abstract.
704 days ago
10/10 relevant
arXiv

Mean field games with branching

For this reason, we introduce a branching mechanism in the population of agents and obtain a variation on the mean field game problem. Expand abstract.
60 days ago
10/10 relevant
arXiv

Mean Field Game for Linear Quadratic Stochastic Recursive Systems

This paper focuses on linear-quadratic (LQ for short) mean-field games described by forward-backward stochastic differential equations (FBSDEs for short), in which the individual control region is postulated to be convex. Expand abstract.
194 days ago
10/10 relevant
arXiv