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math.DS2019
Invariant Radon measures and minimal sets for subgroups of
Hui Xu, Enhui Shi, Yiruo Wang
Let be a subgroup of without crossed elements. We show the equivalence among three items: (1) existence of -invariant Radon measures on $\mathbb…
math.DS2019
Strongly Independent Matrices and Rigidity of -Invariant Measures on -Torus
Huichi Huang, Hanfeng Li, Enhui Shi +1
We introduce the concept of strongly independent matrices over any field, and prove the existence of such matrices for certain fields and the non-existence for algebraically closed…
math.DS2019
Commuting circle diffeomorphisms with their derivatives having mixed moduli of continuity
Hui Xu, Enhui Shi
Let be an integer and let be moduli of continuity in a specified class which contains the moduli of Hölder continuity. Let , ,…