Amir Dembo, Peter Mörters, Scott Sheffield  Home/Search
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Abstract: Given a nite typed rooted tree T with n vertices, the empirical subtree measure is the uniform measure on the n typed subtrees of T formed by taking all descendants of a single vertex. We prove a large deviation principle in n, with explicit rate function, for the empirical subtree measures of multitype Galton-Watson trees conditioned to have exactly n vertices. In the process, we extend the notions of shift-invariance and speci c relative entropy|as typically understood for Markov elds ... (Update)
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BibTeX entry: (Update)
@misc{ dembo-large,
author = "Amir Dembo and Peter Mörters and Scott Sheffield",
title = "Large deviations of Markov chains indexed by random trees",
url = "citeseer.ist.psu.edu/761415.html" }
Citations (may not include all citations):214 Large deviations techniques and applications (context) - Dembo, Zeitouni - 1998
196 Probability: theory and examples (context) - Durrett - 1996
154 Gibbs Measures and Phase Transitions (context) - Georgii - 1988
116 Branching processes - Athreya, Ney - 1972
66 the altitude of nodes in random trees (context) - Meir, Moon - 1978
42 The continuum random tree II: An overview (context) - Aldous - 1991
28 Ergodic theory on Galton{Watson trees: speed of random walk .. - Lyons, Pemantle et al. - 1995
19 Markov chains indexed by trees (context) - Benjamini, Peres - 1994
13 Brownian intersection local times: upper tails and thick poi.. (context) - onig, orters - 2002
9 measure of the range of super-Brownian motion (context) - Le Gall - 1999
8 Large deviations for random walks on Galton-Watson trees: av.. - Dembo, Gantert et al. - 2002
4 Microsoft Research One Microsoft Way (context) - Pemantle, Statist et al. - 1995
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