A Poisson formula for harmonic projections

Vadim A. Kaimanovich; Albert Fisher

Annales de l'I.H.P. Probabilités et statistiques (1998)

  • Volume: 34, Issue: 2, page 209-216
  • ISSN: 0246-0203

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Kaimanovich, Vadim A., and Fisher, Albert. "A Poisson formula for harmonic projections." Annales de l'I.H.P. Probabilités et statistiques 34.2 (1998): 209-216. <http://eudml.org/doc/77600>.

@article{Kaimanovich1998,
author = {Kaimanovich, Vadim A., Fisher, Albert},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Markov operator; harmonic function},
language = {eng},
number = {2},
pages = {209-216},
publisher = {Gauthier-Villars},
title = {A Poisson formula for harmonic projections},
url = {http://eudml.org/doc/77600},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Kaimanovich, Vadim A.
AU - Fisher, Albert
TI - A Poisson formula for harmonic projections
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1998
PB - Gauthier-Villars
VL - 34
IS - 2
SP - 209
EP - 216
LA - eng
KW - Markov operator; harmonic function
UR - http://eudml.org/doc/77600
ER -

References

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  1. [1] A. Ancona, Théorie du potentiel sur les graphes et les variétés, Springer Lecture Notes in Math., Vol. 1427, 1990, pp. 4-112. Zbl0719.60074MR1100282
  2. [2] A. Connes, J. Feldman and B. Weiss, An amenable equivalence relation is generated by a single transformation, Ergod. Th. & Dynam. Sys., Vol. 1, 1981, pp. 431-450. Zbl0491.28018
  3. [3] A. Fisher, Convex-invariant means and a pathwise central limit theorem, Adv. Math. Vol. 63, 1987, pp. 213-246. Zbl0627.60034MR877784
  4. [4] S.R. Foguel, Harris operators, Israel J. Math., Vol. 33, 1979, pp. 281-309. Zbl0434.60012MR571535
  5. [5] V.A. Kaimanovich, Measure-theoretic boundaries of Markov chains, 0-2 laws and entropy, Proceedings of the Conference on Harmonic Analysis and Discrete Potential Theory (Frascati, 1991) (M. A. Picardello, ed.), Plenum, New York, 1992, pp. 145-180 MR1222456
  6. [6] V.A. Kaimanovich, Boundaries of invariant Markov operators : the identification problem, LondonMath. Soc. Lecture Note Series Vol. 228, 1996, pp. 127-176 Zbl0848.60073MR1411218
  7. [7] T. Lyons and D. Sullivan, Function theory, random paths and covering spaces, J. Diff. Geom., Vol. 19, 1984, pp. 299-323 Zbl0554.58022MR755228
  8. [8] P.A. Meyer, Limites médiales d'après Mokobodzki, Springer Lecture Notes Math., Vol. 321, 1973, pp. 198-204 Zbl0262.28005MR404564
  9. [9] D. Revuz, Markov Chains, 2nd revised ed., North-Holland, Amsterdam, 1984. Zbl0539.60073MR758799

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