Analysis and geometry of Markov diffusion operators

Analysis and geometry of Markov diffusion operators

में बचाया:
ग्रंथसूची विवरण
मुख्य लेखकों: Bakry, Dominique, 19..-, Gentil, Ivan, 1972- (लेखक), Ledoux, Michel, 1958- (लेखक)
स्वरूप: Livre papier
भाषा:Anglais
प्रकाशित: Cham : Springer C 2014.
श्रृंखला:Grundlehren der mathematischen Wissenschaften 348
विषय:
Processus de diffusion
Géométrie stochastique
Markov, processus de
Probabilités
टिप्पणी: La version brochée mesure 24 cm
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Analysis and Geometry of Markov Diffusion Operators, by Dominique Bakry, Ivan Gentil, Michel Ledoux., 2014, Cham, Springer International Publishing, Imprint: Springer, Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 978-3-319-00227-9
विषय - सूची:
  • - Part I Markov semigroups, basics and examples
  • -1.Markov semigroups.
  • - 2.Model examples.
  • - 3.General setting.
  • - Part II Three model functional inequalities
  • - 4.Poincare inequalities.
  • - 5.Logarithmic Sobolev inequalities.
  • - 6.Sobolev inequalities.
  • - Part III Related functional, isoperimetric and transportation inequalities
  • - 7.Generalized functional inequalities.
  • - 8.Capacity and isoperimetry-type inequalities.
  • - 9.Optimal transportation and functional inequalities.
  • - Part IV Appendices
  • - A.Semigroups of bounded operators on a Banach space.
  • - B.Elements of stochastic calculus.
  • - C.Some basic notions in differential and Riemannian geometry.
  • - Notations and list of symbols.- Bibliography.- Index

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