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A pointwise ergodic theorem for Fuchsian groups
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Bufetov, Alexander I., 1979 and Series, Caroline. (2011) A pointwise ergodic theorem for Fuchsian groups. Mathematical Proceedings of the Cambridge Philosophical Society, Vol.151 (No.1). pp. 145159. ISSN 03050041

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Official URL: http://dx.doi.org/10.1017/S0305004111000247
Abstract
We use Series' Markovian coding for words in Fuchsian groups and the BowenSeries coding of limit sets to prove an ergodic theorem for Cesaro averages of spherical averages in a Fuchsian group.
Item Type:  Journal Article 

Subjects:  Q Science > QA Mathematics 
Divisions:  Faculty of Science > Mathematics 
Library of Congress Subject Headings (LCSH):  Fuchsian groups, Ergodic theory 
Journal or Publication Title:  Mathematical Proceedings of the Cambridge Philosophical Society 
Publisher:  Cambridge University Press 
ISSN:  03050041 
Official Date:  July 2011 
Volume:  Vol.151 
Number:  No.1 
Page Range:  pp. 145159 
Identification Number:  10.1017/S0305004111000247 
Status:  Peer Reviewed 
Publication Status:  Published 
Access rights to Published version:  Restricted or Subscription Access 
Funder:  Alfred P. Sloan Foundation, Russia (Federation), Rossiĭskai︠a︡ akademii︠a︡ nauk [Russian Academy of Sciences] (RAN), Russia (Federation). Ministerstvo obrazovanii︠a︡ [Ministry of Education], Rice University, National Science Foundation (U.S.) (NSF), Rossiĭskiĭ fond fundamentalʹnykh issledovaniĭ [Russian Foundation for Basic Research] (RFBR), Centre national de la recherche scientifique (France) (CNRS) 
Grant number:  MK4893.2010.1 (Russia), 2.1.1/5328 (MO), DMS 0604386 (NSF), 100193115 (RFFI/CNRS) 
References:  [1] C.ANANTHARAMAN ET AL. Th´eor`emes ergodiques pour les actions de groupes. Monographie 41 de 
URI:  http://wrap.warwick.ac.uk/id/eprint/38825 
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