On the classification of dynamical systems
Annales de l'I.H.P. Probabilités et statistiques (1973)
- Volume: 9, Issue: 4, page 397-425
- ISSN: 0246-0203
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topDang-Ngoc-Nghiem. "On the classification of dynamical systems." Annales de l'I.H.P. Probabilités et statistiques 9.4 (1973): 397-425. <http://eudml.org/doc/76990>.
@article{Dang1973,
author = {Dang-Ngoc-Nghiem},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
language = {eng},
number = {4},
pages = {397-425},
publisher = {Gauthier-Villars},
title = {On the classification of dynamical systems},
url = {http://eudml.org/doc/76990},
volume = {9},
year = {1973},
}
TY - JOUR
AU - Dang-Ngoc-Nghiem
TI - On the classification of dynamical systems
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1973
PB - Gauthier-Villars
VL - 9
IS - 4
SP - 397
EP - 425
LA - eng
UR - http://eudml.org/doc/76990
ER -
References
top- [1] L.K. Arnold, On σ-finite invariant measures. Z. Wahrscheinlichkeitstheorie verw. Geb., t. 9, 1968, p. 85-97. Zbl0196.18402MR227362
- [2] A. Brunel, Sur les mesures invariantes. Z. Wahrscheinlichkeitstheorie verw. Geb., t. 5, 1966, p. 330-333. Zbl0147.31302MR207957
- [3] A. Calderon, Sur les mesures invariantes. C. R. Acad. Sci. (Paris), t. 240, 1955, p. 1960-1962. Zbl0064.05102MR69257
- [4] R.V. Chacon, A class of linear transformations. Proc. Amer. Math. Soc., t. 15, 1964, p. 560-564. Zbl0168.11702MR165071
- [5] J. Dixmier, Les algèbres d'opérateurs dans l'espace hilbertien. Gauthier-Villars, 1969. Zbl0175.43801
- [6] J. Dixmier, Les C*-algèbres et leurs représentations. Gauthier-Villars, 1969. Zbl0174.18601MR246136
- [7] Y.N. Dowker, On measurable transformations in finite measure spaces. Ann. of Math., t. 62 (2), 1955, p. 504-516. Zbl0065.28701MR72929
- [8] H.A. Dye, On groups of measure preserving transformations I. Amer. J. Math., t. 81, 1959, p. 119-159. Zbl0087.11501MR131516
- [9] H.A. Dye, On groups of measure preserving transformations II. Amer. J. Math., t. 85, 1963, p. 551-576. Zbl0191.42803MR158048
- [10] A. Guichardet, Une caractérisation des algèbres de Von Neumann discrètes. Bull. Soc. Math. France, t. 89, 1961, p. 77-101. Zbl0168.11302MR139020
- [11] A.B. Hajian, On ergodic measure preserving transformations defined on an infinite measure space. Proc. Amer. Math. Soc., t. 16, 1965, p. 45-48. Zbl0136.03703MR169987
- [12] A.B. Hajian, Y. Ito and S. Kakutani, Invariant measures and orbits of dissipative transformations. Advances in Math., t. 8, 1972, p. 52-65. Zbl0236.28010MR302860
- [13] A.B. Hajian and S. Kakutani, Weakly wandering sets and invariant measures. Trans. Amer. Math. Soc., t. 110, 1964, p. 136-151. Zbl0122.29804MR154961
- [14] A.B. Hajian and S. Kakutani, Transformations of σ-Type. To appear. Zbl0213.07601
- [15] P. Halmos, Lectures on ergodic theory. Math. Soc. of Japan, N. Y., Chelsea Publishing Co., 1956. Zbl0073.09302MR97489
- [16] P. Halmos, Invariant measures. Ann. of Math., Ser. II, t. 48, 1947, p. 735-754. Zbl0029.35202MR21963
- [17] E. Hopf, Theory of measure and invariant integrals. Trans. Amer. Math. Soc., 1932, p. 373-393. Zbl0004.26001MR1501643
- [18] K. Jacobs, Invariant and non invariant measures. Lecture Notes in Math. (Springer-Verlag), n° 31, 1967, p. 118-135. Zbl0174.34501MR232912
- [19] L.K. Jones and U. Krengel, On transformations without finite invariant measure. To appear. Zbl0286.28017MR340548
- [20] S. Kakutani, Induced measure perserving transformations. Proc. Imp. Acad. Tokyo, t. 19, 1943, p. 635-641. Zbl0060.27406MR14222
- [21] Y. Kawada, Uber die exitenz der invarianten Integrale. Jap. J. Math., t. 19, 1944, p. 81-95. Zbl0060.27304MR15044
- [22] U. Krengel, Entropy of conservative transformations. Z. Wahrscheinlichkeitstheorie verw. Geb., t. 7, 1967, p. 161-181. Zbl0183.19303MR218522
- [23] W. Krieger, On the isomorphy problem for ergodic equivalence relations. Math. Zeitschr., t. 103, 1968, p. 78-84. Zbl0177.30902MR230878
- [24] W. Krieger, On Non-singular Transformations of a measure space I. Z. Wahrscheinlichkeitstheorie verw. Geb., t. 11, 1969, p. 83-97. Zbl0185.11901MR240279
- [25] W. Krieger, On Non-singular Transformations of a measure space II. Z. Wahrscheinlichkeistheorie Verw. Geb., t. 11, 1969, p. 98-119. Zbl0185.11901MR240279
- [26] W. Krieger, On constructing non-*isomorphic Hyperfinite factors of Type III. J. Funct. Analysis, t. 6, 1970, p. 97-109. Zbl0209.44601MR259624
- [28] J. Neveu, Sur l'existence des mesures invariantes en théorie ergodique. C. R. Acad. Sci. (Paris), t. 260, 1965, p. 393-396. Zbl0127.09301MR192026
- [29] J. Neveu, Existence of bounded inv. measures in ergodic theory. Proc. fifth Berkeley Sym. Math. Stat. Prob., University of California Press, Vol. II, Part 2, 1967, p. 461-472. Zbl0221.28008MR212161
- [30] J. Neveu, Bases Mathématiques du Calcul des Probabilités. Masson, 1970. Zbl0203.49901MR272004
- [31] J. Neveu, Atomes conditionnels d'espaces de Probabilité et Théorie de l'Information. Symposium on Probability Methods in Analysis. Lecture Notes in Math., Springer-Verlag, t. 31, 1967, p. 256-271. Zbl0171.17401MR220544
- [32] D. Ornstein, On invariant measures. Publ. Amer. Math. Soc., t. 66, 1960. Zbl0154.30502MR146350
- [33] S. Sakai, C*-Algebras and W*-algebras. Springer-Verlag, 1971. Zbl0219.46042MR442701
- [34] E. Størmer, Automorphisms and equivalence in Von Neumann Algebras. To appear. Zbl0241.46060MR318910
- [35] E. Størmer, Invariant measures and Von Neumann Algebras. To appear. Zbl0245.46086
- [36] L. Sucheston, On existence of finite invariant measures. Math. Z., t. 86, 1964, p. 327- 336. Zbl0128.11404MR190293
- [37] M. Takesaki, Tomita's Theory of Modular Hilbert Algebras. Lecture Notes, n° 128, Springer-Verlag, Berlin, 1970. Zbl0193.42502MR270168
- [38] M. Takesaki, The Theory of Operator Algebras. Univ. of California, Los Angeles, C. A., 1969–1970.
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