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Regular and Chaotic Dynamics, 2010, Volume 15, Issue 4-5, Pages 482–503
DOI: https://doi.org/10.1134/S1560354710040064 (Mi rcd511) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the 60th birthday of professor V.V. Kozlov

Geometry, topology and dynamics of geodesic flows on noncompact polygonal surfaces

Eugene Gutkinab

a Nicolaus Copernicus University (UMK), Chopina 12/18, Torun 87-100
b Mathematics Institute of the Polish Academy of Sciences (IMPAN), Sniadeckich 8, Warszawa 10, Poland
Citations (7)
DOI: https://doi.org/10.1134/S1560354710040064
Abstract: We establish the background for the study of geodesics on noncompact polygonal surfaces. For illustration, we study the recurrence of geodesics on $\mathbb{Z}$-periodic polygonal surfaces. We prove, in particular, that almost all geodesics on a topologically typical $\mathbb{Z}$-periodic surface with a boundary are recurrent.
Keywords: (periodic) polygonal surface, geodesic, skew product, cross-section, displacement function, recurrence, transience, ergodicity.
Received: 12.03.2010
Accepted: 25.03.2010
Bibliographic databases:
Document Type: Personalia
MSC: 37C40, 37D50, 37E35
Language: English
Citation: Eugene Gutkin, “Geometry, topology and dynamics of geodesic flows on noncompact polygonal surfaces”, Regul. Chaotic Dyn., 15:4-5 (2010), 482–503
Citation in format AMSBIB
\Bibitem{Gut10}
\by Eugene Gutkin
\paper Geometry, topology and dynamics of geodesic flows on noncompact polygonal surfaces
\jour Regul. Chaotic Dyn.
\yr 2010
\vol 15
\issue 4-5
\pages 482--503
\mathnet{http://mi.mathnet.ru/rcd511}
\crossref{https://doi.org/10.1134/S1560354710040064}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2679760}
\zmath{https://zbmath.org/?q=an:1203.37037}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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