2 citations · 2 across the 5 of their papers we have counts for
5 papers
Subordinacy theory for long-range operators: hyperbolic geodesic flow insights and monotonicity theory
Zhenfu Wang, Disheng Xu, Qi Zhou
We introduce a comprehensive framework for subordinacy theory applicable to long-range operators on , bridging dynamical systems and spectral analysis. For finit…
The symmetries of affine -systems and a program for centralizer rigidity
Danijela Damjanović, Amie Wilkinson, Chengyang Wu +1
Let Aff(X) be the group of affine diffeomorphisms of a closed homogeneous manifold X=G/B admitting a G-invariant Lebesgue-Haar probability measure . For Aff(X), let $Z^…
Hyperbolicity for one-frequency analytic quasi-periodic (Hermitian)-symplectic cocycles
Duxiao Wang, Disheng Xu, Qi Zhou
We demonstrate the existence of an open dense subset within the class of real analytic one-frequency quasi-periodic $\mathrm{\Sp}(4,\mathbb{R})$-cocycles, characterized by either t…
Transitive centralizers and fibered partially hyperbolic systems
Danijela Damjanovic, Amie Wilkinson, Disheng Xu
We prove several rigidity results about the centralizer of a smooth diffeomorphism, concentrating on two families of examples: diffeomorphisms with transitive centralizer, and pert…
Positivity of the top Lyapunov exponent for cocycles on semisimple Lie groups over hyperbolic bases
Mario Bessa, Jairo Bochi, Michel Cambrainha +3
A theorem of Viana says that almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. In this note we extend this result to cocycles on any noncompact c…