The Hamilton-Jacobi semigroup on length spaces and applications

Simple item page
dc.creatorLott, John
dc.creatorVillani, Cedric
dc.date2006-12-19
dc.date2007-04-04
dc.date.accessioned2026-07-07T07:54:59Z
dc.date.available2026-07-07T07:54:59Z
dc.descriptionWe define a Hamilton-Jacobi semigroup acting on continuous functions on a compact length space. Following a strategy of Bobkov, Gentil and Ledoux, we use some basic properties of the semigroup to study geometric inequalities related to concentration of measure. Our main results are that (1) a Talagrand inequality on a measured length space implies a global Poincare inequality and (2) if the space satisfies a doubling condition, a local Poincare inequality and a log Sobolev inequality then it also satisfies a Talagrand inequality.
dc.descriptionfinal version
dc.identifierhttps://arxiv.org/abs/math/0612560
dc.identifierhttp://arxiv.org/abs/math/0612560
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126819
dc.subjectDifferential Geometry
dc.titleThe Hamilton-Jacobi semigroup on length spaces and applications
dc.typetext

Files

Collections

arXiv