Orbit coupling

Hans-Otto Georgii

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

  • Volume: 33, Issue: 2, page 253-268
  • ISSN: 0246-0203

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Georgii, Hans-Otto. "Orbit coupling." Annales de l'I.H.P. Probabilités et statistiques 33.2 (1997): 253-268. <http://eudml.org/doc/77567>.

@article{Georgii1997,
author = {Georgii, Hans-Otto},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {dynamical system; orbit; coupling; ergodic tail sigma-field},
language = {eng},
number = {2},
pages = {253-268},
publisher = {Gauthier-Villars},
title = {Orbit coupling},
url = {http://eudml.org/doc/77567},
volume = {33},
year = {1997},
}

TY - JOUR
AU - Georgii, Hans-Otto
TI - Orbit coupling
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1997
PB - Gauthier-Villars
VL - 33
IS - 2
SP - 253
EP - 268
LA - eng
KW - dynamical system; orbit; coupling; ergodic tail sigma-field
UR - http://eudml.org/doc/77567
ER -

References

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  1. [1] D. Aldous and H. Thorisson, Shift-coupling, Stochastic Proc. Appl. Vol. 44, 1993, pp. 1-14. Zbl0769.60062MR1198659
  2. [2] H.C.P. Berbee, Random Walks with Stationary Increments and Renewal Theory, Math. Centre Tract No. 112, Mathematisch Centrum, Amsterdam, 1979. Zbl0443.60083MR547109
  3. [3] D.L. Cohn, Measure Theory, Birkhäuser, Boston, 1980. Zbl0436.28001MR578344
  4. [4] M.M. Day, Semigroups and amenability, K. W. Folley, Ed., Semigroups, Proc. Symp. Wayne State Univ.1968, pp. 5-53, Academic Press, New YorkLondon, 1969. Zbl0191.01801MR265502
  5. [5] H.O. Georgii, Mixing properties of induced random transformations, Ergodic Theory & Dyn. Systems, 1997, to appear. Zbl0882.60067
  6. [6] Y. Katznelson and B. Weiss, The classification of non-singular actions, revisited. Ergodic Th. & Dyn. Systems Vol. 11, 1991, pp. 333-348. Zbl0759.58024
  7. [7] Th.M. Liggett, Interacting Particle Systems, Springer Verlag, New York, 1985. Zbl0559.60078MR776231
  8. [8] T. Lindvall, Lectures on the Coupling Method, Wiley, New York, 1992. Zbl0850.60019MR1180522
  9. [9] K. Petersen, Ergodic Theory, Cambridge University Press, 1983. Zbl0507.28010MR833286
  10. [10] A. Tempelman, Ergodic Theorems for Group Actions, Kluwer, Dordrecht, 1992. Zbl0753.28014MR1172319
  11. [11] H. Thorisson, Shift coupling in continuous time, Probab. Theory Rel. Fields, Vol. 99, 1994, pp. 477-483. Zbl0801.60043MR1288066
  12. [12] H. Thorisson, On time-and cycle-stationarity, Stochastic Proc. Appl., Vol. 55, 1995, pp. 183-209. Zbl0817.60050MR1313019
  13. [13] H. Thorisson, Transforming random elements and shifting random fields, Ann. Probab., Vol. 24, 1996, to appear. Zbl0879.60051MR1415240
  14. [14] H. Thorisson, Point-stationarity in d dimensions and Palm theory, Bernoulli, 1997, to appear. Zbl0953.60029MR1715440

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