5 citations · 12 across the 9 of their papers we have counts for
9 papers
Lipschitz Continuity and Formulas of the Gradient Vector of the SRB Entropy Functional
Jianyu Chen, Miaohua Jiang
The Sobolev embedding theorem implies that the SRB entropy functional is also differentiable in the family of Anosov diffeomorphisms equipped with a suitable Hilbert manifold struc…
A volume preserving nonuniformly hyperbolic diffeomorphism with arbitrary number of ergodic components and close to the identity
Jianyu Chen, Huyi Hu, Yun Yang
We prove that for any $\ell\in\NN\cup\{\infty\}$ and any $r\in \NN$, every compact smooth Riemannian manifold $\cM$ of $\dim \cM\ge 5$ carries a volume preserving nonuni…
Inducing Schemes with Finite Weighted Complexity
Jianyu Chen, Fang Wang, Hong-Kun Zhang
In this paper, we consider a Borel measurable map of a compact metric space which admits an inducing scheme. Under the finite weighted complexity condition, we establish a thermody…
On Coupling Lemma and Stochastic Properties with Unbounded Observables for 1-d Expanding Maps
Jianyu Chen, Hongkun Zhang, Yiwei Zhang
In this paper, we establish a coupling lemma for standard families in the setting of piecewise expanding interval maps with countably many branches. Our method merely requires that…
The essential coexistence phenomenon in Hamiltonian dynamics
Jianyu Chen, Huyi Hu, Yakov Pesin +1
We construct an example of a Hamiltonian flow on a -dimensional smooth manifold which after being restricted to an energy surface demonstrate…
Length Spectrum Rigidity for piecewise analytic Bunimovich Billiards
Jianyu Chen, Vadim Kaloshin, Hong-Kun Zhang
In the paper, we establish Squash Rigidity Theorem - the dynamical spectral rigidity for piecewise analytic Bunimovich squash-type stadia. We also establish Stadium Rigidity Theore…
Non-stationary Almost Sure Invariance Principle for Hyperbolic Systems with Singularities
Jianyu Chen, Hongkun Zhang, Yun Yang
We investigate a wide class of two-dimensional hyperbolic systems with singularities, and prove the almost sure invariance principle (ASIP) for the random process generated by sequ…
Markov partition and Thermodynamic Formalism for Hyperbolic Systems with Singularities
Jianyu Chen, Fang Wang, Hong-Kun Zhang
For 2-d hyperbolic systems with singularities, statistical properties are rather difficult to establish because of the fragmentation of the phase space by singular curves. In this…
The spectral gap for transfer operators of torus extensions over expanding maps
Jianyu Chen, Huyi Hu
We study the spectral gap for transfer operators of the skew product given by $F(x,y)=(Tx, y+τ(x) \pmo…