Skip to main content

Large Deviations for Random Distribution of Mass

  • Conference paper
Random Discrete Structures

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 76))

Summary

We study the large deviations for the model of random mass distribution proposed by Aldous. Based on a suitable approximation argument, we prove Aldous’ conjecture concerning the large deviations behavior.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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. Adler, R. The Geometry of Random Fields, Wiley, New York, 1981.

    MATH  Google Scholar 

  2. Aldous, D.J., Tree-Based Models for Random Distribution of Mass, J. Statist. Phys. 1993 73 625–641.

    Article  MathSciNet  MATH  Google Scholar 

  3. Aldous, D.J., The continuum random tree III, Ann. Probab. 1993 21 248–289.

    Article  MathSciNet  MATH  Google Scholar 

  4. Karatzas I. and Shreve S.E., Brownian Motion and Stochastic Calculus, Springer-Verlag, New York, 1988.

    Book  MATH  Google Scholar 

  5. Le Gall, J.F., Brownian excursions, trees and measure valued branching processes, Ann. Probab. 1991 19 1399–1439.

    Article  MathSciNet  MATH  Google Scholar 

  6. Marcus M.B. and Shepp L.A., Sample behaviour of Gaussian processes, Proc. Sixth Berkeley Symp. Math. Statist. Prob. 1972 2 423–442. Univ. of California Press, Berkeley.

    Google Scholar 

  7. Vervaat, W., A relation between Brownian bridge and Brownian excursion. Ann. Probab. 1979 7 141–149.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dembo, A., Zeitouni, O. (1996). Large Deviations for Random Distribution of Mass. In: Aldous, D., Pemantle, R. (eds) Random Discrete Structures. The IMA Volumes in Mathematics and its Applications, vol 76. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0719-1_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-0719-1_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6881-9

  • Online ISBN: 978-1-4612-0719-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics