Skip to main content

Advertisement

SpringerLink
Log in
Menu
Find a journal Publish with us
Search
Cart
  1. Home
  2. Probability Theory and Related Fields
  3. Article
A new modified logarithmic Sobolev inequality for Poisson point processes and several applications
Download PDF
Download PDF
  • Published: November 2000

A new modified logarithmic Sobolev inequality for Poisson point processes and several applications

  • Liming Wu1 

Probability Theory and Related Fields volume 118, pages 427–438 (2000)Cite this article

  • 951 Accesses

  • 97 Citations

  • Metrics details

Abstract.

By means of the martingale representation, we establish a new modified logarithmic Sobolev inequality, which covers the previous modified logarithmic Sobolev inequalities of Bobkov-Ledoux and the L 1-logarithmic Sobolev inequality obtained in our previous work. From it we derive several sharp deviation inequalities of Talagrand's type, by following the powerful Herbst method developed recently by Ledoux and al. Moreover this new modified logarithmic Sobolev inequality is transported on the discontinuous path space with respect to the law of a Lévy process.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

Author information

Authors and Affiliations

  1. Laboratoire de Mathématiques Appliquées, CNRS-UMR 6620, Université Blaise Pascal, 63177 Aubiere, France and Department of Mathematics, Wuhan University, P.R. China. e-mail: wuliming@ucfma.univ-bpclermont.fr, , , , ,

    Liming Wu

Authors
  1. Liming Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 16 June 1999 / Revised version: 13 March 2000 / Published online: 12 October 2000

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Wu, L. A new modified logarithmic Sobolev inequality for Poisson point processes and several applications. Probab Theory Relat Fields 118, 427–438 (2000). https://doi.org/10.1007/PL00008749

Download citation

  • Issue Date: November 2000

  • DOI: https://doi.org/10.1007/PL00008749

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Keywords

  • Point Process
  • Sobolev Inequality
  • Poisson Point Process
  • Path Space
  • Sharp Deviation
Download PDF

Working on a manuscript?

Avoid the common mistakes

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support

167.114.118.210

Not affiliated

Springer Nature

© 2023 Springer Nature