In this paper we investigate the stationary profiles of a nonlinear Fokker-Planck equation with small diffusion and in- outflow boundary conditions. We consider corridors bottleneck whose width has global nondegenerate minimum in interior. limit are obtained constructively by using methods from geometric singular perturbation theory (GSPT). identify three main types corresponding to: (i) high d...

The ability to make sense of the massive amounts high-dimensional data generated from molecular dynamics (MD) simulations is heavily dependent on knowledge a low dimensional manifold (parameterized by reaction coordinate or RC) that typically distinguishes between relevant metastable states and which captures slow interest. Methods based machine learning artificial intelligence have been propos...

Abstract This paper introduces a bottleneck game with finite sets of commuters and departing time slots as an extension congestion games Konishi et al. (J Econ Theory 72:225–237, 1997a). After characterizing Nash equilibrium the game, we provide sufficient conditions for which equivalence between strong equilibria holds. Somewhat surprisingly, unlike in games, pure strategies may often fail to ...