Classically, finite modified logarithmic Sobolev inequalities are used to deduce a differential inequality for the evolution of the relative entropy with respect to the invariant measure. We will ...

The Annals of Probability, Vol. 27, No. 2 (Apr., 1999), pp. 664-683 (20 pages) The geometric stochastic analysis on the Riemannian path space developed recently gives rise to the concept of tangent ...

Description: Such topics as polynomial functions and equations, exponential and logarithmic functions, determinants, systems of equations and inequalities, mathematical induction, the binomial theorem ...

Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...