M. E. Ratner, “Markov splitting for U-flows in three-dimensional manifolds”, Mat. Zametki, 6:6 (1969), 693–704; Math. Notes, 6:6 (1969), 880

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Matematicheskie Zametki, 1969, Volume 6, Issue 6, Pages 693–704 (Mi mzm6978)

This article is cited in 10 scientific papers (total in 10 papers)

Markov splitting for U-flows in three-dimensional manifolds

M. E. Ratner

M. V. Lomonosov Moscow State University

Full-text PDF (896 kB) Citations (10)

Abstract: A construction is presented of Markov splitting for U-flows in three-dimensional manifolds, having everywhere-dense bands layered transversely.

Received: 04.11.1968

English version:
Mathematical Notes, 1969, Volume 6, Issue 6, Pages 880–886
DOI: https://doi.org/10.1007/BF01146408

Bibliographic databases:

UDC: 517.9

Language: Russian

Citation: M. E. Ratner, “Markov splitting for U-flows in three-dimensional manifolds”, Mat. Zametki, 6:6 (1969), 693–704; Math. Notes, 6:6 (1969), 880–886

Citation in format AMSBIB

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\by M.~E.~Ratner

\paper Markov splitting for U-flows in three-dimensional manifolds

\jour Mat. Zametki

\yr 1969

\vol 6

\issue 6

\pages 693--704

\mathnet{http://mi.mathnet.ru/mzm6978}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=260977}

\zmath{https://zbmath.org/?q=an:0198.56804}

\transl

\jour Math. Notes

\yr 1969

\vol 6

\issue 6

\pages 880--886

\crossref{https://doi.org/10.1007/BF01146408}

Linking options:

https://www.mathnet.ru/eng/mzm6978

https://www.mathnet.ru/eng/mzm/v6/i6/p693

This publication is cited in the following 10 articles:

Huynh M. Hien, “Construction of Markov partitions for the geodesic flow on compact Riemann surfaces of constant negative curvature”, Journal of Geometry and Physics, 2024, 105374
Maarit Järvenpää, Further Developments in Fractals and Related Fields, 2013, 153
Risto Hovila, Esa Järvenpää, Maarit Järvenpää, François Ledrappier, “Singularity of Projections of 2-Dimensional Measures Invariant Under the Geodesic Flow”, Commun. Math. Phys., 312:1 (2012), 127
DAVID FRIED, “Ideal tilings and symbolic dynamics for negatively curved surfaces”, Ergod. Th. Dynam. Sys., 31:6 (2011), 1697
D. Dolgopyat, “Bounded orbits of Anosov flows”, Duke Math. J., 87:1 (1997)
Héctor Sánchez-Morgado, “R-torsion and zeta functions for analytic Anosov flows on 3-manifolds”, Trans. Amer. Math. Soc., 348:3 (1996), 963
D. V. Anosov, V. V. Solodov, Encyclopaedia of Mathematical Sciences, 66, Dynamical Systems IX, 1995, 10
Héctor Sánchez-Morgado, “Lefschetz formulae for Anosov flows on 3-manifolds”, Ergod. Th. Dynam. Sys., 13:2 (1993), 335
Lee Mosher, “Dynamical systems and the homology norm of a 3-manifold II”, Invent Math, 107:1 (1992), 243
David Fried, “Transitive Anosov flows and pseudo-Anosov maps”, Topology, 22:3 (1983), 299

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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