Diffusion Equations and Geometric Inequalities

79 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

The Cauchy process and the Steklov problem (2004, unknown): “of the Brascamp–Lieb log–concavity result, including applications to option pricing, and various other extensions, we refer the reader to C. Borell [16], [ 17 ] and [18].”
Semi Log-Concave Markov Diffusions (2013, methodology): “One can trace back to the paper of Borell [13], who used Girsanov theory to study the propagation of log-concavity along the Schrödinger dynamics (not the FokkerPlanck one we are looking at here).”
Representation formula for the entropy and functional inequalities (2010, background): “In [5] Borell proves the following representation formula.”
Subadditivity of The Entropy and its Relation to Brascamp–Lieb Type Inequalities (2007, methodology): “Inequality (5.3) could also be proved using a semi-group (or Stochastic) method inspired by the one used by Borell [8] in his study of Brunn-Minkowski type inequalities (which, somehow, are the converse of the inequalities considered here); this would be more complicated than starting from the inequ”