Stability of the logarithmic Sobolev inequality via the Föllmer Process

In the general case, inequality proved in this article, we do not know if the modified logarithmic Sobolev inequality (2.9) implies transportation inequality (2.16).... Using Theorem

When participants were asked to judge whether the prime and targets fit together (explicit task), results showed an enhanced N400 component to unrelated compared to related targets

Finally, the fact that blebbistatin treated myoblasts behaved much softer and less dissipative than the three other tested examples of muscle cells, with quite undetectable

We study global existence, uniqueness and positivity of weak solutions of a class of reaction-diffusion systems of chemical kinetics type, under the assumptions of log- arithmic

In Section 3, we present the proof of Theorem 1.2, and as an application, we explain how to use the parabolic Kozono-Taniuchi inequality in order to prove the long time existence

In particular, we will prove that, under mild assumption on the base, the logarithmic Sobolev constant of the wreath product can be expressed in terms of the spectral gap of the

Logarithmic Sobolev inequality, Entropy, Fisher Information, Transport Distance, Gaussian measures.. The first author was partially supported by NSF

– We present a finite dimensional version of the logarith- mic Sobolev inequality for heat kernel measures of non-negatively curved diffusion operators that contains and improves