Search

Your search keyword '"Super Poincaré inequalities"' showing total 2 results
Start Over Descriptor "Super Poincaré inequalities" Topic lyapunov functions
2 results on '"Super Poincaré inequalities"'

1. Lyapunov conditions for Super Poincaré inequalities

Author

Cattiaux, Patrick, Guillin, Arnaud, Wang, Feng-Yu, and Wu, Liming

Subjects
*LYAPUNOV functions, *POINCARE series, *MATHEMATICAL inequalities, *FUNCTIONAL analysis, *SOBOLEV spaces, *MATHEMATICAL analysis
Abstract

Abstract: We show how to use Lyapunov functions to obtain functional inequalities which are stronger than Poincaré inequality (for instance logarithmic Sobolev or F-Sobolev). The case of Poincaré and weak Poincaré inequalities was studied in [D. Bakry, P. Cattiaux, A. Guillin, Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré, J. Funct. Anal. 254 (3) (2008) 727–759. Available on Mathematics arXiv:math.PR/0703355, 2007]. This approach allows us to recover and extend in a unified way some known criteria in the euclidean case (Bakry and Emery, Wang, Kusuoka and Stroock, …). [Copyright &y& Elsevier]

Published
2009
Full Text
View/download PDF

2. Lyapunov conditions for logarithmic Sobolev and Super Poincaré inequality

Author

Cattiaux, Patrick, Guillin, Arnaud, Wang, Feng-Yu, Wu, Liming, Centre de Mathématiques Appliquées (CMAP), Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Statistique et Probabilités (LSP), Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'Analyse, Topologie, Probabilités (LATP), Université Paul Cézanne - Aix-Marseille 3-Université de Provence - Aix-Marseille 1-Centre National de la Recherche Scientifique (CNRS), School of Mathematical Sciences [Beijing] (SMS), Beijing Normal University (BNU), Laboratoire de Mathématiques Blaise Pascal (LMBP), Université Blaise Pascal - Clermont-Ferrand 2 (UBP)-Centre National de la Recherche Scientifique (CNRS), Department of Mathematics Wuhan University, Wuhan University [China], Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), and Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)

Subjects
26D10, 47D07, 60G10, 60J60, [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], Ergodic processes, logarithmic Sobolev inequalities, Mathematics::Metric Geometry, Mathematics::Differential Geometry, Poincaré inequalities, Super Poincaré inequalities, Mathematics - Probability, Lyapunov functions
Abstract

International audience; We show how to use Lyapunov functions to obtain functional inequalities which are stronger than Poincaré inequality (for instance logarithmic Sobolev or $F$-Sobolev). The case of Poincaré and weak Poincaré inequalities was studied in Bakry and al. This approach allows us to recover and extend in an unified way some known criteria in the euclidean case (Bakry-Emery, Wang, Kusuoka-Stroock ...).

Published
2009

Catalog

Books, media, physical & digital resources
See catalog results