Skip to main content
Book cover

Trees pp 141–147Cite as

Large Deviation Principles for Random Fields on a Binary Tree

  • Conference paper
  • 262 Accesses

Part of the book series: Progress in Probability ((PRPR,volume 40))

Abstract

For a product measure on a binary tree, the shifts of the tree are ergodic transformations. We compare different large deviation principles for the corresponding empirical fields.

Résumé

Pour une mesure produit sur un arbre binaire, les translations à droite et à gauche sont des transformations ergodiques. On compare des principes de grandes déviations différents pour la suite des champs empiriques.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ben Arous, G., Tamura, Y.: In preparation

    Google Scholar 

  2. Gantert, N.: Self-similarity of Brownian motion and a large deviation principle for random fields on a binary tree. In: Probability Theory and Related Fields 98 (1994)

    Google Scholar 

  3. Itô, K., Nisio, M.: On the Convergence of Sums of Independent Banach Space Valued Random Variables. In: K. Itô, Selected Papers, Springer 1987

    Google Scholar 

  4. Peitgen, H.-O., Saupe, D. (Editors): The Science of Fractal Images. Springer, 1988

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Birkhäuser Verlag Basel

About this paper

Cite this paper

Gantert, N. (1996). Large Deviation Principles for Random Fields on a Binary Tree. In: Chauvin, B., Cohen, S., Rouault, A. (eds) Trees. Progress in Probability, vol 40. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9037-3_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-9037-3_11

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9879-9

  • Online ISBN: 978-3-0348-9037-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics