Entropy Bounds and Isoperimetry

Serguei Bobkov, B. Zegarlinski (Autoren)

Buch | Softcover

69 Seiten

2005 | illustrated Edition
American Mathematical Society (Verlag)
978-0-8218-3858-7 (ISBN)

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In these memoirs Bobkov and Zegarlinski describe interesting developments in infinite dimensional analysis that moved it away from experimental science. Here they also describe Poincar -type inequalities, entropy and Orlicz spaces, LSq and Hardy-type inequalities on the line, probability measures satisfying LSq inequalities on the real line, expo

Introduction and notations Poincare-type inequalities Entropy and Orlicz spaces $/mathbf{LS}_q$ and Hardy-type inequalities on the line Probability measures satisfying $/mathbf{LS}_q$-inequalities on the real line Exponential integrability and perturbation of measures $/mathbf{LS}_q$-inequalities for Gibbs measures with super Gaussian tails $/mathbf{LS}_q$-inequalities and Markov semigroups Isoperimetry The localization argument Infinitesimal version Proof of Theorem 9.2 Euclidean distance (proof of Theorem 9.1) Uniformly convex bodies From isoperimetry to $/mathbf{LS}_q$-inequalities Isoperimetric functional inequalities Bibliography.

Erscheint lt. Verlag	1.8.2005
Reihe/Serie	Memoirs of the American Mathematical Society
Zusatzinfo	Illustrations
Verlagsort	Providence
Sprache	englisch
Gewicht	198 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-8218-3858-X / 082183858X
ISBN-13	978-0-8218-3858-7 / 9780821838587
Zustand	Neuware