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International Conference on Modern Problems of Stochastic Analysis and Statistics

MPSAS 2016: Modern Problems of Stochastic Analysis and Statistics pp 303–312Cite as

Large Deviations for the Rightmost Position in a Branching Brownian Motion

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 208))

Abstract

We study the lower deviation probability of the position of the rightmost particle in a branching Brownian motion and obtain its large deviation function.

Dedicated to Professor Valentin Konakov on the occasion of his 70th birthday.

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Author information

Authors and Affiliations

  1. Collège de France, 11 place Marcelin Berthelot, 75231, Paris Cedex 05, France

    Bernard Derrida

  2. Université Pierre et Marie Curie, 4 place Jussieu, 75252, Paris Cedex 05, France

    Zhan Shi

Authors
  1. Bernard Derrida
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  2. Zhan Shi
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Corresponding author

Correspondence to Zhan Shi .

Editor information

Editors and Affiliations

  1. Department of Statistics and Data Analysis, Higher School of Economics, Moscow, Russia

    Vladimir Panov

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Derrida, B., Shi, Z. (2017). Large Deviations for the Rightmost Position in a Branching Brownian Motion. In: Panov, V. (eds) Modern Problems of Stochastic Analysis and Statistics. MPSAS 2016. Springer Proceedings in Mathematics & Statistics, vol 208. Springer, Cham. https://doi.org/10.1007/978-3-319-65313-6_12

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