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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...
Stochastic processes in light-assisted nanoparticle formation
Stochastic processes light-assisted nanoparticle formation Mesoscale and Nanoscale Physics
2012/4/24
Recently, light-assisted nanofabrication have been introduced, such as the synthesis of quantum dots using photo-induced desorption that yields reduced size fluctuations, or metal sputtering under lig...
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...
On the construction of the Wold decomposition for non-stationary stochastic processes
the construction of the Wold decomposition non-stationary stochastic processes
2009/9/24
On the construction of the Wold decomposition for non-stationary stochastic processes。
A study of a one - dimensional bilinear differential model for stochastic processes
a one - dimensional bilinear differential model stochastic processes
2009/9/24
A study of a one - dimensional bilinear differential model for stochastic processes。
Interpolation error operator for Hilbert space valued stationary stochastic processes
Interpolation error operator Hilbert space stationary stochastic processes
2009/9/24
In the paper a characterization of interpolation error
operator for Hilbert space valued staiionary stochastic processes is
obtained.
On recurrent differential representations for stationary stochastic processes
recurrent differential representations stationary stochastic processes
2009/9/24
On recurrent differential representations for stationary stochastic processes。
Jumps of stochastic processes with values in a topological group
Jumps of stochastic processes values in a topological group
2009/9/24
Jumps of stochastic processes with values in a topological group。
Continuity of non-commutative stochastic processes
Continuity non-commutative stochastic processes
2009/9/24
The paper contains the proof of a theorem on the
continuity of a "stochastic process" taking its values in an algebra of
operators measurable in Nelson's sense. If the algebra considered is
abefian...
Quantitative results on monotone approximation of stochastic processes
Quantitative results monotone approximation stochastic processes
2009/9/23
Quantitative results on monotone approximation of stochastic processes。