scholarly journals Quantitative recurrence properties for self-conformal sets

Author(s):  
Simon Baker ◽  
Michael Farmer

2017 ◽  
Vol 145 (11) ◽  
pp. 4751-4761 ◽  
Author(s):  
André Junqueira


2011 ◽  
Vol 228 (4) ◽  
pp. 2071-2097 ◽  
Author(s):  
Bo Tan ◽  
Bao-Wei Wang


Nonlinearity ◽  
2008 ◽  
Vol 22 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Dong Han Kim


2010 ◽  
Vol 31 (4) ◽  
pp. 1043-1071 ◽  
Author(s):  
VÍTOR ARAÚJO ◽  
ALEXANDER I. BUFETOV

AbstractLarge deviation rates are obtained for suspension flows over symbolic dynamical systems with a countable alphabet. We use a method employed previously by the first author [Large deviations bound for semiflows over a non-uniformly expanding base. Bull. Braz. Math. Soc. (N.S.)38(3) (2007), 335–376], which follows that of Young [Some large deviation results for dynamical systems. Trans. Amer. Math. Soc.318(2) (1990), 525–543]. As a corollary of the main results, we obtain a large deviation bound for the Teichmüller flow on the moduli space of abelian differentials, extending earlier work of Athreya [Quantitative recurrence and large deviations for Teichmuller geodesic flow. Geom. Dedicata119 (2006), 121–140].



Nonlinearity ◽  
2018 ◽  
Vol 31 (3) ◽  
pp. 864-886 ◽  
Author(s):  
Maria Carvalho ◽  
Fagner B Rodrigues ◽  
Paulo Varandas


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