@article{AIHPB_2006__42_6_727_0,
author = {Aaronson, J. and Nakada, H. and Sarig, O.},
title = {Exchangeable measures for subshifts},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {727--751},
year = {2006},
publisher = {Elsevier},
volume = {42},
number = {6},
doi = {10.1016/j.anihpb.2005.10.002},
mrnumber = {2269236},
zbl = {1110.60025},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpb.2005.10.002/}
}
TY - JOUR AU - Aaronson, J. AU - Nakada, H. AU - Sarig, O. TI - Exchangeable measures for subshifts JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2006 SP - 727 EP - 751 VL - 42 IS - 6 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpb.2005.10.002/ DO - 10.1016/j.anihpb.2005.10.002 LA - en ID - AIHPB_2006__42_6_727_0 ER -
%0 Journal Article %A Aaronson, J. %A Nakada, H. %A Sarig, O. %T Exchangeable measures for subshifts %J Annales de l'I.H.P. Probabilités et statistiques %D 2006 %P 727-751 %V 42 %N 6 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.anihpb.2005.10.002/ %R 10.1016/j.anihpb.2005.10.002 %G en %F AIHPB_2006__42_6_727_0
Aaronson, J.; Nakada, H.; Sarig, O. Exchangeable measures for subshifts. Annales de l'I.H.P. Probabilités et statistiques, Tome 42 (2006) no. 6, pp. 727-751. doi: 10.1016/j.anihpb.2005.10.002
[1] , , Group extensions of Gibbs-Markov maps, Probab. Theory Related Fields 123 (1) (2002) 38-40. | Zbl | MR
[2] , , , Ergodic theory for Markov fibred systems and parabolic rational maps, Trans. Amer. Math. Soc. 337 (2) (1993) 495-548. | Zbl | MR
[3] , , , , Aperiodicity of cocycles and conditional local limit theorems, Stoch. Dyn. 4 (1) (2004) 31-62. | Zbl | MR
[4] , , , , Invariant measures and asymptotics for some skew products, Israel J. Math. 128 (2002) 93-134. | Zbl | MR
[5] , , , , Corrections to: Invariant measures and asymptotics for some skew products, Israel J. Math. 138 (2003) 377-379. | Zbl | MR
[6] , β-expansions and symbolic dynamics, Theoret. Comput. Sci. 65 (2) (1989) 131-141. | Zbl
[7] , Markov Chains with Stationary Transition Probabilities, Springer, Heidelberg, 1960. | Zbl | MR
[8] , , De Finetti's theorem for Markov chains, Ann. Probab. 8 (8) (1980) 115-130. | Zbl | MR
[9] , Transformation groups and -algebras, Ann. of Math. (2) 81 (1965) 38-55. | Zbl
[10] , , Ergodic equivalence relations, cohomology, and von Neumann algebras. I, Trans. Amer. Math. Soc. 234 (2) (1977) 289-324. | Zbl | MR
[11] , Abelian Groups, Internat. Ser. Monogr. Pure Appl. Math., Pergamon Press, New York, 1960. | MR
[12] , A common property of number systems, Izv. Akad. Nauk SSSR. Ser. Mat. 23 (1959) 809-814, (in Russian). | Zbl | MR
[13] , Locally compact transformation groups, Trans. Amer. Math. Soc. 101 (1961) 124-138. | Zbl | MR
[14] , , Ergodic decomposition of quasi-invariant probability measures, part 2, Colloq. Math. 84/85 (2000) 495-514. | Zbl | MR | EuDML
[15] , On the σ-algebra of symmetric events for a countable Markov chain, Theory Probab. Appl. 24 (1979) 199-204. | Zbl
[16] , , Symmetric measures on Cartesian products, Trans. Amer. Math. Soc. 80 (1955) 470-501. | Zbl | MR
[17] , , Markov subshifts and realization of β-expansions, J. Math. Soc. Japan 26 (1974) 33-55. | Zbl
[18] , Certain properties of the homology of U-systems, Mat. Zametki 10 (1971) 555-564, English Transl. in, Math. Notes 10 (1971) 758-763. | Zbl | MR
[19] , Incompressible transformations, Fund. Math. 56 (1964) 35-50. | Zbl | MR | EuDML
[20] , Probability and Potentials, Blaisdell Publishing Co, Ginn and Co, Waltham, MA, 1966. | Zbl | MR
[21] , On the β-expansions of real numbers, Acta Math. Acad. Sci. Hungar. 11 (1960) 401-416. | Zbl
[22] , , Natural coefficients and invariants for Markov-shifts, Invent. Math. 76 (1) (1984) 15-32. | Zbl | MR | EuDML
[23] , , Symmetric Gibbs measures, Trans. Amer. Math. Soc. 349 (1997) 2775-2811. | Zbl | MR
[24] , Representations for real numbers and their ergodic properties, Acta Math. Acad. Sci. Hungar. 8 (1957) 477-493. | Zbl | MR
[25] , Existence of Gibbs measures for countable Markov shifts, Proc. Amer. Math. Soc. 131 (6) (2003) 1751-1758. | Zbl | MR
[26] , Infinite invariant measures on the circle, in: Convegno sulle Misure su Gruppi e su Spazi Vettoriali, Convegno sui Gruppi e Anelli Ordinati, INDAM, Rome, 1975, Symposia Mathematica, vol. XXI, Academic Press, London, 1977, pp. 37-43. | Zbl | MR
[27] , Ergodic Theory of Fibred Systems and Metric Number Theory, Oxford Science Publications, The Clarendon Press, Oxford University Press, New York, 1995. | Zbl | MR
[28] , β-automorphisms are Bernoulli shifts, Acta. Math. Acad. Sci. Hungar. 24 (1973) 273-278. | Zbl
[29] , Ergodic properties of nonnegative matrices. I, Pacific J. Math. 22 (1967) 361-386. | Zbl | MR
[30] , Equilibrium states for β-transformations and related transformations, Math. Z. 159 (1) (1978) 65-88. | Zbl | EuDML
Cité par Sources :






