Intertwining relations for one-dimensional diffusions and application to functional inequalities
Langue
en
Article de revue
Ce document a été publié dans
Potential Analysis. 2014, vol. 41
Springer Verlag
Résumé en anglais
Following the recent work [13] fulfilled in the discrete case, we pro- vide in this paper new intertwining relations for semigroups of one-dimensional diffusions. Various applications of these results are investigated, ...Lire la suite >
Following the recent work [13] fulfilled in the discrete case, we pro- vide in this paper new intertwining relations for semigroups of one-dimensional diffusions. Various applications of these results are investigated, among them the famous variational formula of the spectral gap derived by Chen and Wang [15] together with a new criterion ensuring that the logarithmic Sobolev inequality holds. We complete this work by revisiting some classical examples, for which new estimates on the optimal constants are derived.< Réduire
Mots clés en anglais
spectral gap
Feynman-Kac semigroup
intertwining relation
logarithmic Sobolev inequality
logarithmic Sobolev inequality.
Diffusion process
Sturm-Liouville operator
Schrödinger operator
Project ANR
Géométrie des mesures convexes et discrètes - ANR-11-BS01-0007
Stabilité du comportement asymptotique d'EDP, de processus stochastiques et de leurs discrétisations. - ANR-12-BS01-0019
Aux frontières de l'analyse Harmonique - ANR-12-BS01-0013
Stabilité du comportement asymptotique d'EDP, de processus stochastiques et de leurs discrétisations. - ANR-12-BS01-0019
Aux frontières de l'analyse Harmonique - ANR-12-BS01-0013
Origine
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