Found 1683 results, showing the newest relevant preprints. Sort by relevancy only.Update me on new preprints

Brake orbits and heteroclinic connections for first order Mean Field Games

As a model example, we consider a MFG system where the interactions are modeled via a Riesz-type aggregative potential with spatial preferences. Expand abstract.
74 days ago
7/10 relevant
arXiv

Existence and Regularity of Solutions to Multi-Dimensional Mean-Field Stochastic Differential Equations with Irregular Drift

Using the Malliavin and Sobolev differentiability we formulate a Bismut-Elworthy-Li type formula for mean-field stochastic differential equations, i.e. a probabilistic representation of the first order derivative of an expectation functional with respect to the initial condition. Expand abstract.
74 days ago
10/10 relevant
arXiv

Zero-Sum Differential Games on Probability Spaces: Hamilton-Jacobi-Isaacs Equations and Viscosity Solutions

We consider two-player zero-sum differential games (ZSDGs), where the state process (dynamical system) depends on the random initial condition and the state process's distribution, and the objective functional includes the state process's distribution and a random target variable. Expand abstract.
74 days ago
4/10 relevant
arXiv

Mean-Field Neural ODEs via Relaxed Optimal Control

Subsequently, we study uniform-in-time propagation of chaos of time-discretised Mean-Field (overdamped) Langevin dynamics. Expand abstract.
75 days ago
10/10 relevant
arXiv

Modulated Free Energy and Mean Field Limit

This is the document corresponding to the talk the first author gave at IH{\'E}S for the Laurent Schwartz seminar on November 19, 2019. Expand abstract.
80 days ago
10/10 relevant
arXiv

Mean field interaction on random graphs with dynamically changing multi-color edges

Error between the two limiting systems, with and without acceleration in edge dynamics, is also analyzed. Expand abstract.
83 days ago
7/10 relevant
arXiv

Probabilistic Approach to Mean Field Games and Mean Field Type Control Problems with Multiple Populations

We provide several sets of sufficient conditions for the existence of mean field equilibrium for each of these cases. Expand abstract.
90 days ago
10/10 relevant
arXiv

Extinction scenarios in evolutionary processes: A Multinomial Wright-Fisher approach

One of the results is a limit theorem that describes sufficient conditions for an almost certain path to extinction, first eliminating the type which is the least fit at the mean-field equilibrium. Expand abstract.
90 days ago
7/10 relevant
arXiv

Proximity effect in a heterostructure of a high $T_c$ superconductor with a topological insulator from Dynamical mean field theory

The latter is described by the one-band Hubbard model and is treated with cluster dynamical mean field theory (CDMFT), the TI layers being included via the CDMFT self-consistency loop. Expand abstract.
90 days ago
10/10 relevant
arXiv

Topology and Magnetism in the Kondo Insulator Phase Diagram

Furthermore, Gaussian fluctuations of the slave boson fields around their mean-field value are included in order to establish the stability of the mean-field solution through computation of the full dynamical susceptibility. Expand abstract.
91 days ago
7/10 relevant
arXiv