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High Dimensional Probability VIIIPolar Isoperimetry. I: The Case of the Plane

High Dimensional Probability VIII: Polar Isoperimetry. I: The Case of the Plane [This is the first part of the notes with preliminary remarks on the plane isoperimetric inequality and its applications to the Poincaré and Sobolev-type inequalities in dimension one. Links with informational quantities of Rényi and Fisher are briefly discussed.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

High Dimensional Probability VIIIPolar Isoperimetry. I: The Case of the Plane

Part of the Progress in Probability Book Series (volume 74)
Editors: Gozlan, Nathael; Latała, Rafał; Lounici, Karim; Madiman, Mokshay
Bobkov, Sergey G.; Gozlan, Nathael; Roberto, Cyril; Samson, Paul-Marie
High Dimensional Probability VIII — Nov 27, 2019
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References (6)

Publisher
Springer International Publishing
Copyright
© Springer Nature Switzerland AG 2019
ISBN
978-3-030-26390-4
Pages
21 –31
DOI
10.1007/978-3-030-26391-1_3
Publisher site
See Chapter on Publisher Site

Abstract

[This is the first part of the notes with preliminary remarks on the plane isoperimetric inequality and its applications to the Poincaré and Sobolev-type inequalities in dimension one. Links with informational quantities of Rényi and Fisher are briefly discussed.]

Published: Nov 27, 2019

Keywords: Isoperimetry; Sobolev-type inequalities; Rényi divergence power; Relative Fisher information

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