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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： On the dimension of limit sets on the real projective plane via stationary measures
实射影平面 极限集 维数 平稳测度
2023/11/29
I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the dimension of limit sets on the real projective plane via stationary measures
实射 影平面 极限集 维数 平稳测度
2023/11/15
I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
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...
Strictly stationary solutions of ARMA equations in Banach spaces
Strictly stationary solutions ARMA equations Banach spaces Probability
2012/6/21
We obtain necessary and sufficient conditions for the existence of strictly stationary solutions of ARMA equations in Banach spaces with independent and identically distributed noise under certain ass...
Stationary distributions for a class of generalized Fleming-Viot processes
generalized Fleming-Viot process measure-valued branching process stable random measure
2012/5/9
We identify stationary distributions of generalized Fleming-Viot processes with jump mechanisms specified by certain beta laws together with a parameter measure. Each of these distributions is obtaine...
Convexity of Workload Autocorrelation in a Stationary Single Server Queue with Independent Increment Input
Convexity of Workload Autocorrelation Independent Increment Input Probability
2011/8/26
Abstract: We propose a method based on probabilistic arguments to study the convexity of the autocorrelation function of processes associated with a single server queue. To illustrate the power of the...
Pointwise stabilization of discrete-time matrix-valued stationary Markov chains
Markovian jump linear system pointwise stabilization random products of matrices
2011/8/22
Abstract: Let $(\Omega,\mathscr{F},\mathbb{P})$ be a probability space and $\bS=\{\mathrm{S}_1,...,\mathrm{S}_K\}$ a discrete-topological space that consists of $K$ real $d$-by-$d$ matrices, where $K$...
Information-Theoretic Capacity and Error Exponents of Stationary Point Processes under Random Additive Displacements
Information-Theoretic Capacity Error Exponents of Stationary Point Processes
2011/2/25
This paper studies the Shannon regime for the random displacement of stationary point processes. Let each point of some initial stationary point process in Rn give rise to one daughter point, the loca...
Characterizations of processes with stationary and independent increments under $G$-expectation
Characterizations of processes stationary independent increments
2010/11/26
Our purpose is to investigate properties for processes with stationary and independent increments under G-expectation. As applications,we prove the martingale characterization to G-Brownian motion and...
Smaller population size at the MRCA time for stationary branching processes
Branching process most recent common ancestor bottleneck genealogy
2010/11/30
We present an elementary model of random size varying population given by a stationary continuous state branching process. For this model we compute the joint distribution
of: the time to the most re...
Stationary distributions for jump processes with inert drift
Stationary distributions jump processes inert drift
2010/12/6
We analyze jump processes Z with “inert drift” determined by a “memory”process S. The state space of (Z, S) is the Cartesian product of the unit circle and the real line. We prove that the stationary ...