14 citations · 17 across the 16 of their papers we have counts for
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math.DS2019
Uniform convergence rate for Birkhoff means of certain uniquely ergodic toral maps
Silvius Klein, Xiao-Chuan Liu, Aline Melo
We obtain estimates on the uniform convergence rate of the Birkhoff average of a continuous observable over torus translations and affine skew product toral transformations. The co…
math.DS2019
Prime Ends Dynamics in Parametrised Families of Rotational Attractors
Jan P. Boroński, Jernej Činč, Xiao-Chuan Liu
We provide several new examples in dynamics on the -sphere, with the emphasis on better understanding the induced boundary dynamics of invariant domains in parametrized families…
math.DS2019★ 1 cited
On Stable and Unstable Behaviours of Certain Rotation Segments
Salvador Addas-Zanata, Xiao-Chuan Liu
In this paper, we study non-wandering homeomorphisms of the two torus in the identity homotopy class, whose rotation sets are non-trivial line segments from to some totally…