Average properties of random walks on Galton-Watson trees

Dayue Chen

Annales de l'I.H.P. Probabilités et statistiques (1997)

  • Volume: 33, Issue: 3, page 359-369
  • ISSN: 0246-0203

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Chen, Dayue. "Average properties of random walks on Galton-Watson trees." Annales de l'I.H.P. Probabilités et statistiques 33.3 (1997): 359-369. <http://eudml.org/doc/77573>.

@article{Chen1997,
author = {Chen, Dayue},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Galton-Watson trees; Dirichlet principle; random walks},
language = {eng},
number = {3},
pages = {359-369},
publisher = {Gauthier-Villars},
title = {Average properties of random walks on Galton-Watson trees},
url = {http://eudml.org/doc/77573},
volume = {33},
year = {1997},
}

TY - JOUR
AU - Chen, Dayue
TI - Average properties of random walks on Galton-Watson trees
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1997
PB - Gauthier-Villars
VL - 33
IS - 3
SP - 359
EP - 369
LA - eng
KW - Galton-Watson trees; Dirichlet principle; random walks
UR - http://eudml.org/doc/77573
ER -

References

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  1. [1] L. Breiman, Probability, SIAM, Philadelphia, 1992. Zbl0753.60001MR1163370
  2. [2] D. Chen, J. Feng and M.P. Qian, The metastability of exponentially perturbed Markov chains, Science in China, Vol. 39, 1996, pp. 7-28. Zbl0863.60065MR1397231
  3. [3] T.M. Ligget, Interacting Particle Systems, Springer-Verlag, New York, 1985. Zbl0559.60078MR776231
  4. [4] R. Lyons, Random walks and percolation on trees, Ann. Prob., Vol. 18, 1990, pp. 931-958. Zbl0714.60089MR1062053
  5. [5] R. Lyons, R. Pemantle and Y. Peres, Biased random walks on Galton-Watson trees, Probability Theory and Related Fields, Vol. 106, 1996, pp. 249-264. Zbl0859.60076MR1410689
  6. [6] R. Lyons, R. Pemantle and Y. Peres, Ergodic theory on Galton-Watson trees: speed of random walk and dimension of harmonic measure, Ergod. Th. & Dynam. Sys., Vol. 15, 1995, pp. 1-27. Zbl0819.60077
  7. [7] R. Lyons, R. Pemantle and Y. Peres, Unsolved problems concerning random walks on trees. In "Classical and Modem Branching Processes", K.B. Athreya and P. Jagers (editors), Springer-Verlag, New York, 1996, pp. 223-238. Zbl0867.60067MR1601753
  8. [8] F. Solomon, Random walk in a random environment, Ann. Prob., Vol. 3, 1975, pp. 1-31. Zbl0305.60029MR362503

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