… We study the non-asymptotic behavior of Coulomb gases in dimension two and more. Such
gases … We obtain concentration of measure inequalities for the empirical distribution of such …

… We derive functional inequalities linking these two notions, recovering and generalizing
existing Coulomb transport inequalities. We then use them to prove concentration of measure …

… Coulomb gas on a Riemannian manifold introduced in [6, Subsection 4.1] and study its
non-asymptotic behavior by obtaining a concentration inequality … transport-entropy inequalities for …

Coulomb gases are special probability distributions, related to potential theory, that appear
at many places in pure and applied mathematics and physics. In these short expository notes…

… If yes, at which speed: can we state concentration inequalities? … In Chapter 9, we introduce
the transport method and transport … of a Coulomb gas with an external potential V and that of a …

… Still about functional inequalities, the study of concentration of measure for Coulomb
gases in relation with Coulomb transport inequalities is considered in the recent work [24]. …

… a Coulomb analog of the usual transport inequality between … On the other hand the analog
of the concentration inequality 1… however [19] for concentration inequalities valid for dual H(1+…

… the charge transport through such systems as a function of the carrier concentration, length,
temperature, etc. We show that these systems posses very peculiar transport properties, …

… Next, we will control T1 by choosing a transport ψ that causes T1 to vanish at order t. We will
… David Padilla-Garza, Concentration inequality around the thermal equilibrium measure of …

… ▶ Coulomb gases : definition and known results ▶ Concentration inequalities ▶ Outline
of the proof and Coulomb transport inequalities … This inequality is the Coulomb …