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Geom. Dedicata, 2016, Volume 181, Issue 1, Pages 293–306 (Mi geode1)  

Mean convergence of Markovian spherical averages for measure-preserving actions of the free group

Lewis Bowena, Alexander Bufetovbcde, Olga Romaskevichf

a University of Texas at Austin, Austin, TX, USA
b CNRS, Centrale Marseille, I2M, UMR 7373, Aix-Marseille Université, Marseille, France
c The Steklov Institute of Mathematics, Moscow, Russia
d The Institute for Information Transmission Problems, Moscow, Russia
e National Research University Higher School of Economics, Moscow, Russia
f École Normale Supérieure de Lyon, Lyon, France

Funding Agency Grant Number
National Science Foundation DMS-0968762
DMS-0954606
United States - Israel Binational Science Foundation (BSF) 2008274
Agence Nationale de la Recherche ANR-11-IDEX-0001-02
ANR-10-LABX-0070
ANR-11-IDEX-0007
Ministry of Education and Science of the Russian Federation MD-2859.2014.1
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Russian Foundation for Basic Research 13-01-12449
13-01-00969-a
Lewis Bowen is supported in part by NSF grant DMS-0968762, NSF CAREER Award DMS-0954606 and BSF grant 2008274. Alexander Bufetov's research is carried out thanks to the support of the A*MIDEX project (no. ANR-11-IDEX-0001-02) funded by the programme "Investissements d'Avenir" of the Government of the French Republic, managed by the French National Research Agency (ANR). Bufetov is also supported in part by the Grant MD-2859.2014.1 of the President of the Russian Federation, by the Programme "Dynamical systems and mathematical control theory" of the Presidium of the Russian Academy of Sciences, and by the RFBR grant 13-01-12449. Olga Romaskevich is supported by the LABEX MILYON (ANR-10-LABX-0070) of Université de Lyon, within the program "Investissements d'Avenir" (ANR-11-IDEX-0007) operated by the French National Research Agency (ANR). She is as well supported by RFBR project 13-01-00969-a and Poncelet Laboratory.


DOI: https://doi.org/10.1007/s10711-015-0124-2


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Accepted:26.10.2015
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