Optimal transportation for multifractal random measures and applications

We consider the transfer operators of non-uniformly expanding maps for potentials of various regularity, and show that a specific property of potentials (“flatness”) implies

The focus of this work is on actual computation of optimal impulsive controls for systems described by ordinary differential equations with polynomial dynamics and

Structure of the paper After this introduction, Section 2 presents the main well-known tools from optimal transport theory (Wasserstein distances, geodesic interpolation.. The

In this paper, we build on recent theoretical advances on Sinkhorn en- tropies and divergences [6] to present a unified view of three fidelities between measures that alleviate

More precisely, Klartag studied in [ 10 ] the connection between the notion of affine hemisphere of elliptic type and that of q-moment measures, and proved an existence result thanks

We recover a classical existence and uniqueness result under a contraction-on-average assumption, prove generalized moment bounds from which tail estimates can be deduced, consider

first we present some generalities about point processes, then we establish transport-entropy in- equalities for mixed binomial point processes under the assumption that the