scholarly journals Exponential Mixing by Orthogonal Non-Monotonic Shears

2021 ◽  
Author(s):  
Joe Myers Hill ◽  
Rob Sturman ◽  
Mark C. T. Wilson
Keyword(s):  



2014 ◽  
Vol 156 (3) ◽  
pp. 473-492
Author(s):  
Tatiana Yarmola


2006 ◽  
Vol 104 (1) ◽  
pp. 143-211 ◽  
Author(s):  
Artur Avila ◽  
Sébastien Gouëzel ◽  
Jean-Christophe Yoccoz


2004 ◽  
Vol 16 (3) ◽  
Author(s):  
Roland Zweimüller
Keyword(s):  


2004 ◽  
Vol 123 (1) ◽  
pp. 3816-3823
Author(s):  
S. A. Klokov ◽  
A. Yu. Veretennikov


2021 ◽  
Vol 157 (12) ◽  
pp. 2585-2634
Author(s):  
Pratyush Sarkar ◽  
Dale Winter

The aim of this paper is to establish exponential mixing of frame flows for convex cocompact hyperbolic manifolds of arbitrary dimension with respect to the Bowen–Margulis–Sullivan measure. Some immediate applications include an asymptotic formula for matrix coefficients with an exponential error term as well as the exponential equidistribution of holonomy of closed geodesics. The main technical result is a spectral bound on transfer operators twisted by holonomy, which we obtain by building on Dolgopyat's method.



2020 ◽  
Vol 30 (1) ◽  
pp. 126-187
Author(s):  
Sergei Kuksin ◽  
Vahagn Nersesyan ◽  
Armen Shirikyan


2016 ◽  
Vol 369 (2) ◽  
pp. 783-803 ◽  
Author(s):  
Oliver Butterley ◽  
Peyman Eslami


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