toral automorphisms
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2021 ◽  
pp. 313-324
Author(s):  
Robert L. Devaney
Keyword(s):  

2020 ◽  
Vol 238 (1) ◽  
pp. 389-403
Author(s):  
Andrey Gogolev ◽  
Boris Kalinin ◽  
Victoria Sadovskaya

2018 ◽  
Vol 34 (2) ◽  
pp. 244-258
Author(s):  
Lennard F. Bakker ◽  
Pedro Martins Rodrigues
Keyword(s):  

2018 ◽  
Vol 40 (1) ◽  
pp. 175-193
Author(s):  
MANFRED EINSIEDLER ◽  
ALEX MAIER

We show in prime dimension that for two non-commuting totally irreducible toral automorphisms the set of points that equidistribute under the first map but have non-dense orbit under the second has full Hausdorff dimension. In non-prime dimension the argument fails only if the automorphisms have strong algebraic relations.


2017 ◽  
Vol 39 (06) ◽  
pp. 1668-1709
Author(s):  
ZHENQI JENNY WANG

In this paper, we show local smooth rigidity for higher rank ergodic nilpotent action by toral automorphisms. In former papers all examples for actions enjoying the local smooth rigidity phenomenon are higher rank and have no rank-one factors. In this paper we give examples of smooth rigidity of actions having rank-one factors. The method is a generalization of the KAM (Kolmogorov–Arnold–Moser) iterative scheme.


2017 ◽  
Vol 263 (1) ◽  
pp. 779-810 ◽  
Author(s):  
Wen Huang ◽  
Zhengxing Lian ◽  
Song Shao ◽  
Xiangdong Ye

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