Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities

✍ Scribed by S.G Bobkov; F Götze

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 197 KB
• Volume: 163
• Category: Article
• ISSN: 0022-1236
• DOI: 10.1006/jfan.1998.3326

✦ Synopsis

We study some problems on exponential integrability, concentration of measure, and transportation cost related to logarithmic Sobolev inequalities. On the real line, we then give a characterization of those probability measures which satisfy these inequalities 1999 Academic Press