Entropy bounds and isoperimetry / S.G. Bobkov, B. Zegarlinski.

Format:

Book

Author/Creator:

Bobkov, Serguei G. (Serguei Germanovich), 1961- author.

Zegarlinski, B., author.

Series:

Memoirs of the American Mathematical Society ; no. 829.

Memoirs of the American Mathematical Society, 0065-9266 ; number 829

Language:

English

Subjects (All):

Isoperimetric inequalities.

Entropy (Information theory).

Inequalities (Mathematics).

Boundary value problems.

Physical Description:

1 online resource (88 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2005]

Language Note:

English

Summary:

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

Contents:

""Chapter 9. Isoperimetry""""Chapter 10. The localization argument""; ""Chapter 11. Infinitesimal version""; ""Chapter 12. Proof of Theorem 9.2""; ""Chapter 13. Euclidean distance (proof of Theorem 9.1)""; ""Chapter 14. Uniformly convex bodies""; ""Chapter 15. From Isoperimetry to LS[sub(q)]-inequalities""; ""Chapter 16. Isoperimetric Functional Inequalities""; ""Bibliography""

Notes:

"Volume 176, number 829 (first of 4 numbers)."

Includes bibliographical references (pages 67-69).

Description based on print version record.

ISBN:

1-4704-0430-3