3 citations · 8 across the 13 of their papers we have counts for
4 papers · 2 filters
Analytic Paths of Ergodic Measures with Prescribed Invariants
Xiaobo Hou, Xueting Tian
We study analytic paths of ergodic measures under quantitative constraints. For uniformly hyperbolic systems, we construct one-parameter families of ergodic measures whose prescrib…
Conditional entropy realization and approximation by uniquely ergodic measures
Xiaobo Hou, Wanshan Lin, Xueting Tian +2
This paper studies conditional entropy realization and weak* approximation by uniquely ergodic measures with compact support. We prove that, after fixing an admissible potential av…
Complete realization of multifractal entropy spectra and pressure functions
Xiaobo Hou, Wanshan Lin, Xueting Tian
We give a complete characterization of the multifractal entropy spectra arising from continuous vector-valued potentials on transitive two-sided shifts of finite type. We prove tha…
Bohr chaoticity, semi-horseshoes and full-entropy abundance
Xiaobo Hou, Wanshan Lin, Xueting Tian
Bohr chaoticity is a topological notion of dynamical complexity defined through non-orthogonality to all non-trivial weights. It is strictly stronger than positivity of topological…