Skip to main content
SpringerLink
Log in

Spectral gap inequality for a colored disordered lattice gas

  • Chapter
Book cover Séminaire de Probabilités XLI

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 1934))

Abstract

We establish a spectral gap property related to a model called colored disordered lattice gas. The main, result is stated for an auxiliary Markov generator which, thanks to the general strategy developped in the work of Caputo [1], produces a uniform Poincaré inequality with respect to the original dynamics of the model.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P. Caputo, Spectral gap inequalities in product spaces with conservation laws, in T. Funaki and H. Osada (eds.) Adv. Studies in Pure Math. Japan 2004.

    Google Scholar 

  2. A. Dermoune, P. Heinrich, A small step towards the hydrodynamic limit of a colored disordered lattice gas, C. R. Acad. Sci. Paris, Ser. I 339, 507–511 (2004).

    Article  MATH  MathSciNet  Google Scholar 

  3. A. Dermoune, P. Heinrich, Equivalence of ensembles for colored particles in a disordered lattice gas, to appear in Markov Process. Related Fields (2005).

    Google Scholar 

  4. A. Dermoune, S. Martinez, Around Multicolour disordered lattice gas, to appear in Journal of Statistical Physics.

    Google Scholar 

  5. A. Faggionato, Hydrodynamic limit of a disordered system, Ph. D. Thesis (2002).

    Google Scholar 

  6. A. Faggionato, F. Martinelli, Hydrodynamic limit of a disordered lattice gas, Probab. Theory Relat. Fields 127, 535–608 (2003).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire Paul Painlevé, Université Lille 1, Bât. M2, 59655, Villeneuve d’Ascq Cedex, France

    Azzouz Dermoune & Philippe Heinrich

Authors
  1. Azzouz Dermoune
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Philippe Heinrich
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Laboratoire de Probabilités et Modèles Aléatoires, Université Pierre et Marie Curie, Boîte courrier I88 4, place Jussieu, 75252, Paris cedex 05, France

    Catherine Donati-Martin

  2. Institut de Recherche Mathématique Avancée, Université Louis Pasteur, 7, rue René Descartes, 67084, Strasbourg cedex, France

    Michel Émery

  3. Laboratoire de Mathématiques Bâtiment Fermat, Université Versailles-Saint-Quentin, 45, avenue des Etats-Unis, 78035, Versailles cedex, France

    Alain Rouault

  4. UFR Sciences et techniques, Université de Besançon, 16, route de Gray, 25030, Besançon cedex, France

    Christophe Stricker

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Dermoune, A., Heinrich, P. (2008). Spectral gap inequality for a colored disordered lattice gas. In: Donati-Martin, C., Émery, M., Rouault, A., Stricker, C. (eds) Séminaire de Probabilités XLI. Lecture Notes in Mathematics, vol 1934. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77913-1_1

Download citation

Publish with us

Policies and ethics

Search

Navigation