Published April 28, 2019 | Version v1
Journal article Metadata-only

Large Deviations for Level Sets of a Branching Brownian Motion and Gaussian Free Fields

Creators

  • 1. LPMA, Université Pierre et Marie Curie (France)
  • 2. LAGA, Université Paris XIII (France)

Description

We study deviation probabilities for the number of high positioned particles in branching Brownian motion and confirm a conjecture of Derrida and Shi. We also solve the corresponding problem for the two-dimensional discrete Gaussian free field. Our method relies on an elementary inequality for inhomogeneous Galton–Watson processes.

Additional details

Identifiers

DOI
10.1007/s10958-019-04243-8;

Publishing Information

Journal Title
Journal of Mathematical Sciences
Journal Volume
238
Journal Issue
4
Journal Page Range
p. 348-365
ISSN
1072-3374
CODEN
JMTSEW

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
51085077
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
BRANCHING RATIO; BROWNIAN MOVEMENT; PROBABILITY; STOCHASTIC PROCESSES; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
DIMENSIONLESS NUMBERS

Optional Information

Copyright
Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature