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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...
The Seminar on Stochastic Processes 2018 (SSP2018), will be held from May 9 through May 12, 2018 at Brown University, Providence, Rhode Island. From May 9 - 11 the meeting will take place at the Inst...
Uniform moment bounds of multi-dimensional functions of discrete-time stochastic processes
stochastic stability Markov chains uniform moment bounds invariant distributions stochastic control
2011/9/20
Abstract: We establish conditions for uniform $r$-th moment bound of certain $\R^d$-valued functions of a discrete-time stochastic process taking values in a general metric space. The conditions inclu...
Some aspects of the $m$-adic analysis and its applications to $m$-adic stochastic processes
$m$-adic analysis applications to $m$-adic stochastic processes
2011/1/18
In this paper we consider a generalization of analysis on p-adic numbers field to the m case of m-adic numbers ring. The basic statements, theorems and formulas of p-adic analysis can be used for the ...
Self-Similarity and Lamperti Convergence for Families of Stochastic Processes
fractional Hougaard motion Hougaard L´ evy process Lamperti Lamperti
2010/11/26
We define a new type of self-similarity for one-parameter families of stochastic processes,
which applies to a number of important families of processes that are not self-similar in the
conventional...
Left-Inverses of Fractional Laplacian and Sparse Stochastic Processes
Left-Inverses of Fractional Laplacian Sparse Stochastic Processes
2010/12/6
The fractional Laplacian (−△)/2 commutes with the primary coordination transformations in the Euclidean space Rd: dilation, translation and rotation.
Time Series, Stochastic Processes and Completeness of Quantum Theory
foundations of quantum mechanics statistical and contextual interpretation completeness of quantum theory non standard data analysis and visualization time series analysis stochastic processes quantum fluctuations quantum information Bell inequalities
2010/10/20
Most of physical experiments are usually described as repeated measurements of some random variables. Experimental data registered by on-line computers form time series of outcomes. The
frequencies o...
Path Integrals and Perturbation Theory for Stochastic Processes
Path Integrals Perturbation Theory Stochastic Processes
2010/10/27
We review and extend the formalism introduced by Peliti, that maps a Markov process to a pathintegral representation. After developing the mapping, we apply it to some illustrative examples: the simpl...