scholarly journals Quantitative recurrence properties for self-conformal sets

2020 ◽  
pp. 1
Author(s):  
Simon Baker ◽  
Michael Farmer
Keyword(s):  
Quantitative Recurrence

scholarly journals Quantitative recurrence properties for beta-dynamical system

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

scholarly journals A large deviations bound for the Teichmüller flow on the moduli space of abelian differentials

2010 ◽  
Vol 31 (4) ◽  
pp. 1043-1071 ◽  
Author(s):  
VÍTOR ARAÚJO ◽  
ALEXANDER I. BUFETOV
Keyword(s):  
Dynamical Systems ◽  
Large Deviations ◽  
Moduli Space ◽  
Geodesic Flow ◽  
Large Deviation ◽  
Suspension Flows ◽  
Abelian Differentials ◽  
Quantitative Recurrence ◽  
Teichmuller Geodesic Flow ◽  
Teichmüller Flow

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].

scholarly journals Quantitative recurrence for free semigroup actions

Nonlinearity ◽  
2018 ◽  
Vol 31 (3) ◽  
pp. 864-886 ◽  
Author(s):  
Maria Carvalho ◽  
Fagner B Rodrigues ◽  
Paulo Varandas
Keyword(s):  
Free Semigroup ◽  
Semigroup Actions ◽  
Quantitative Recurrence
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