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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Ergodicity of non-stationary stochastic processes
非平稳 随机过程 遍历性
2023/4/13
I will discuss the ergodicity of two kinds of non-stationary processes: random periodic processes and random quasi-periodic processes. I will describe periodic measures, quasi-periodic measures and th...
Workshop on Stochastic Dynamical Systems and Ergodicity
Workshop Stochastic Dynamical Systems and Ergodicity
2017/7/5
The objective of the workshop is to bring together researchers in stochastic dynamical systems, ergodic theory, SPDEs, BSDEs, nonlinear expectations and stochastic controls to interact aiming to stimu...
STABLE ERGODICITY FOR PARTIALLY HYPERBOLIC ATTRACTORS WITH NEGATIVE CENTRAL EXPONENTS
PARTIALLY HYPERBOLIC STABLE ERGODICITY
2015/9/29
We establish stable ergodicity of diffeomorphisms with
partially hyperbolic attractors whose Lyapunov exponents along
the central direction are all negative with respect to invariant SRBmeasur...
ERGODICITY OF MAPPING CLASS GROUP ACTIONS ON SU(2)-CHARACTER VAR IET IES
GROUP ACTIONS MAPPING CLASS
2015/9/29
Let be a compact orientable surface with genus g andnboundary components
∂1,..., ∂n. Let b = (b1,...,bn) ∈ [−2,2]
n. Then the mapping class group
Mod() acts on the relative SU(2)-...
Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations
Unique Ergodicity Fractionally Dissipated Stochastically Forced 2D Euler Equations
2014/4/3
We establish the existence and uniqueness of an ergodic invariant measure for 2D fractionally dissipated stochastic Euler equations on the periodic box, for any power of the dissipation term.
Geometric Ergodicity & Scanning Strategies For Two-Component Gibbs Samplers
Geometric Ergodicity Scanning Strategies Two-Component Gibbs Samplers
2012/11/23
In any Markov chain Monte Carlo analysis, rapid convergence of the chain to its target probability distribution is of practical and theoretical importance. A chain that converges at a geometric rate i...
Quantum ergodicity for restrictions to hypersurfaces
Quantum ergodicity restrictions hypersurfaces Analysis of PDEs
2012/4/17
Quantum ergodicity theorem states that for quantum systems with ergodic classical flows, eigenstates are, in average, uniformly distributed on energy surfaces. We show that if N is a hypersurface in t...
Ergodicity of Poisson products and applications
Ergodicity Poisson products Dynamical Systems
2011/8/24
Abstract: For every $\sigma$-finite measure-preserving transformation $T$ acting on a space $X$ there is an associated probability preserving transformation $T_*$ which acts on discrete countable subs...
Conservative interacting particles system with anomalous rate of ergodicity
H¨ormander type generators conservative interacting particle system ergodicity
2011/1/17
We analyze certain conservative interacting particle system and establish ergodicity of the system for a family of invariant measures. Furthermore,we show that convergence rate to equilibrium is expon...
Ergodicity of Markov Semigroups with Hörmander type generators in Infinite Dimensions
Ergodicity of Markov Semigroups Hö rmander type generators Infinite Dimensions
2011/1/17
We develop an effective strategy for proving strong ergodicity of (nonsymmetric)Markov semigroups associated to H¨ormander type generators when the underlying configuration space is infinite dimension...
Asymptotic ergodicity of the eigenvalues of random operators in the localized phase
Asymptotic ergodicity eigenvalues of random operators localized phase
2011/1/18
We prove that, for a general class of random operators, the family of the unfolded eigenvalues in the localization region is asymptotically ergodic in the sense of N. Minami (see [24]). N. Minami conj...
On some ergodicity properties for time inhomogeneous Markov processes with $T$-periodic semigroup
Markov processes diffusion processes inhomogeneity in time periodicity Lyapunov function
2011/2/25
We consider a time inhomogeneous strong Markov process (ξt)t0 taking values in a Polish state space whose semigroup has a T -periodic structure. After reviewing some conditions which imply ergodicity...
On the abundance of non-zero central Lyapunov exponents, physical measures and stable ergodicity for partially hyperbolic dynamics
u-Gibbs states physical measures partially hyperbolic dynamics minimal foliations
2011/1/20
We show that each strongly partially hyperbolic C2 diffeomorphism, with one-dimensional subbundles and C2 smooth andminimal strong-unstable foliation, is C2 close to a diffeomorphism having non-zero c...
Sensitivity to noise and ergodicity of an assembly line of cellular automata that classifies density
Statistical Mechanics (cond-mat.stat-mech) Disordered Systems and Neural Networks (cond-mat.dis-nn) Cellular Automata and Lattice Gases (nlin.CG)
2010/11/10
We investigate the sensitivity of the composite cellular automaton of H. Fuk\'{s} (Phys. Rev. E 55, R2081 (1997)) to noise and assess the density classification performance of the resulting probabilis...
Intrinsic ergodicity beyond specification: beta-shifts, S-gap shifts, and their factors
beta-shifts S-gap shifts factors
2010/11/18
We give sufficient conditions for a shift space $(\Sigma,\sigma)$ to be intrinsically ergodic, along with sufficient conditions for every subshift factor of $\Sigma$ to be intrinsically ergodic. As a...