Intertwining relations for one-dimensional diffusions and application to functional inequalities
Idioma
en
Article de revue
Este ítem está publicado en
Potential Analysis. 2014, vol. 41
Springer Verlag
Resumen en inglés
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, ...Leer más >
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.< Leer menos
Palabras clave en inglés
spectral gap
Feynman-Kac semigroup
intertwining relation
logarithmic Sobolev inequality
logarithmic Sobolev inequality.
Diffusion process
Sturm-Liouville operator
Schrödinger operator
Proyecto 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
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