×
Shimano, Takashi

Multiplicity of helices of a special flow. (English) Zbl 0412.28011

Tohoku Math. J., II. Ser. 31, 49-55 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0412.28011

Cited in 1 Review

MSC:

28D10 One-parameter continuous families of measure-preserving transformations
60G99 Stochastic processes
60H99 Stochastic analysis
28D05 Measure-preserving transformations

Keywords:

multiplicity of helices; special flow; automorphism; measure preserving transformation; ceiling function; helix with orthogonal increments; Doob- Meyer decomposition of martingales; Wiener process; stochastic integral
Cite Review PDF
Full Text: DOI

References:

[1] V. A. ROHLIN AND JA. G. SINAI, Construction and properties of invariant measurable partitions, Dokl. Akad. Nauk. SSSR, 141 (1962), 1038-1041. · Zbl 0161.34301
[2] M. S. PINSKER, Dynamical systems with completely positive or zero entropy, Dokl. Akad Nauk. SSSR, 133 (1960), 1025-1026. · Zbl 0099.12302
[3] J. DESAMLAZARO AND P. A. MEYER, Methodes de martingales et theorie de flots, Z. Wahrsch. verw. Geb., 18 (1971), 116-140. · Zbl 0205.44501 · doi:10.1007/BF00569183
[4] T. SHIMANO, An invariant of systems in the ergodic theory, Tohoku Math. Journ., 3 (1978), 337-350. · Zbl 0394.28009 · doi:10.2748/tmj/1178229974
[5] H. TOTOKI, On a class of special flows, Z. Wahrsch. verw. Geb., 15 (1970), 157-167 · Zbl 0193.45903 · doi:10.1007/BF00531884
[6] J. DESAM LAZARO, Sur les helices du flot special sous une function, Z. Wahrsch. verw Geb., 30 (1974), 279-302. · Zbl 0282.60004 · doi:10.1007/BF00532617
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.