Large deviations of Markov chains indexed by random trees

Amir Dembo; Peter Mörters; Scott Sheffield

Annales de l'I.H.P. Probabilités et statistiques (2005)

  • Volume: 41, Issue: 6, page 971-996
  • ISSN: 0246-0203

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Dembo, Amir, Mörters, Peter, and Sheffield, Scott. "Large deviations of Markov chains indexed by random trees." Annales de l'I.H.P. Probabilités et statistiques 41.6 (2005): 971-996. <http://eudml.org/doc/77881>.

@article{Dembo2005,
author = {Dembo, Amir, Mörters, Peter, Sheffield, Scott},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Tree-indexed Markov chain; Branching Markov chain; Galton-Watson tree; Multitype Galton-Watson process; Multitype Galton-Watson tree; Marked tree; Large deviation principle; Empirical pair measure; Empirical offspring measure; Process level},
language = {eng},
number = {6},
pages = {971-996},
publisher = {Elsevier},
title = {Large deviations of Markov chains indexed by random trees},
url = {http://eudml.org/doc/77881},
volume = {41},
year = {2005},
}

TY - JOUR
AU - Dembo, Amir
AU - Mörters, Peter
AU - Sheffield, Scott
TI - Large deviations of Markov chains indexed by random trees
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2005
PB - Elsevier
VL - 41
IS - 6
SP - 971
EP - 996
LA - eng
KW - Tree-indexed Markov chain; Branching Markov chain; Galton-Watson tree; Multitype Galton-Watson process; Multitype Galton-Watson tree; Marked tree; Large deviation principle; Empirical pair measure; Empirical offspring measure; Process level
UR - http://eudml.org/doc/77881
ER -

References

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  13. [13] J.-F. Le Gall, The Hausdorff measure of the range of super-Brownian motion, in: Bramson M., Durrett R. (Eds.), Perplexing Problems in Probability, Birkhäuser, Basel, 1999, pp. 285-314. Zbl0945.60039MR1703137
  14. [14] R. Lyons, R. Pemantle, Y. Peres, Ergodic theory on Galton–Watson trees: speed of random walk and dimension of harmonic measure, Ergodic Theory Dynam. Systems15 (1995) 593-619. Zbl0819.60077MR1336708
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  17. [17] R. Pemantle, Tree-indexed processes, Statist. Sci.10 (2) (1995) 200-231. Zbl0955.60528MR1368099

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