ﻻ يوجد ملخص باللغة العربية
We study the entropic regularization of the optimal transport problem in dimension 1 when the cost function is the distance c(x, y) = |y -- x|. The selected plan at the limit is, among those which are optimal for the non-penalized problem, the most diffuse one on the zones where it may have a density.
The Monge-Kantorovich mass-transportation problem has been shown to be fundamental for various basic problems in analysis and geometry in recent years. Shen and Zheng (2010) proposed a probability method to transform the celebrated Monge-Kantorovich
We consider a class of games with continuum of players where equilibria can be obtained by the minimization of a certain functional related to optimal transport as emphasized in [7]. We then use the powerful entropic regularization technique to appro
We illustrate the analogue of the Unruh effect for a quantum system on the real line. Our derivation relies solely on basic elements of representation theory of the group of affine transformations without a notion of time or metric. Our result shows
In this paper we compare three different orthogonal systems in $mathrm{L}_2(mathbb{R})$ which can be used in the construction of a spectral method for solving the semi-classically scaled time dependent Schrodinger equation on the real line, specifica
We investigate the kinetic Schrodinger problem, obtained considering Langevin dynamics instead of Brownian motion in Schrodingers thought experiment. Under a quasilinearity assumption we establish exponential entropic turnpike estimates for the corre