Frontière de Martin du dual de SU(2)

Philippe Biane

Séminaire de probabilités de Strasbourg (1992)

  • Volume: 26, page 225-233

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Biane, Philippe. "Frontière de Martin du dual de SU(2)." Séminaire de probabilités de Strasbourg 26 (1992): 225-233. <http://eudml.org/doc/113799>.

@article{Biane1992,
author = {Biane, Philippe},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {special unitary group; von Neumann algebra; Choquet simplex structure; extremal solutions; existence of a Martin compactification; Martin boundaries},
language = {fre},
pages = {225-233},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Frontière de Martin du dual de SU(2)},
url = {http://eudml.org/doc/113799},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Biane, Philippe
TI - Frontière de Martin du dual de SU(2)
JO - Séminaire de probabilités de Strasbourg
PY - 1992
PB - Springer - Lecture Notes in Mathematics
VL - 26
SP - 225
EP - 233
LA - fre
KW - special unitary group; von Neumann algebra; Choquet simplex structure; extremal solutions; existence of a Martin compactification; Martin boundaries
UR - http://eudml.org/doc/113799
ER -

References

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  1. [A-C] R. Azencott, P. Cartier: Martin boundary of random walks on locally compact groups, Proc. 6th Berkeley Symposium on Math. Stat. and Proba. Vol 3, p. 87-129. Zbl0273.60060MR408008
  2. [Ba1] M. Babillot: Thèse de troisième cycle, Université Paris7, 1985. 
  3. [Ba2] M. Babillot: Théorie du renouvellement pour des chaînes semi-markoviennes transientes, Ann. I.H.P., 24, n°4, p.507-569, 1988. Zbl0681.60095MR978023
  4. [B1] P. Biane: Quantum random walks on the dual of SU(n), Probability theory and related fields, 89, p 117-129, 1991, Springer. Zbl0746.46058MR1109477
  5. [B2] P. Biane: Equation de Choquet-Deny sur le dual d'un groupe compact, preprint, Paris 6, 1991. MR1189084
  6. [B3] P. Biane: Minuscule weights and random walks on lattices, à paraître dans proceedings of the QP conference in Delhi. Zbl0787.60089
  7. [C] P. Cartier: Fonctions harmoniques sur un arbre, Symposia MathematicaIX, p 203-270, 1972. Zbl0283.31005MR353467
  8. [De] J. Deny: Sur l'équation de convolution µ*σ = µ, Séminaire de théorie du potentiel, 4e année, 1959-1960, n°5. 
  9. [Di] J. Dixmier: Les C algèbres et leurs représentations, Gauthiers Villars, 1958. 
  10. [Dy] E.B. Dynkin: Non negative eigenfunctions of the Laplace Beltrami operator and Brownian motion on certain symmetric spaces, AMS Translations, set 2, 72, p.203-228, 1968. Zbl0187.04202
  11. [M] P.A. Meyer: La frontière de Martin, Lecture notes in Mathematics, n°77Springer, 1968. Zbl0174.49303MR246365
  12. [N-S] P. Ney, F. Spitzer: The Martin boundary of random walk, T.A.M.S.121 pp 116-132, 1966. Zbl0141.15601MR195151
  13. [P] K.R. Parthasarathy: A generalized Biane's process, Séminaire de Probabilité n° XXIV, Lecture notes in Math. n° 1426Springer, 1990. Zbl0701.60104MR1071549
  14. [R] D. Revuz: Markov chains, second edition, North Holland, 1982. Zbl0539.60073MR758799
  15. [S] F. Spitzer: The explicit Martin boundary construction, Symposium on probability methods in analysis, Lecture Notes in Mathematics n°61, Springer, 1967 Zbl0158.12802MR224165

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