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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On deformation limit in deformation theory
变形理论 变形极限 射影流形
2023/11/15
This talk mainly concerns the projective, Moishezon and Kahler loci of a family. We first introduce four conjectures on this topic and then the works of the deformation limit of projective manifolds a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：New extreme value theory for maxima of maxima
极大值 最大值 新极值理论
2023/4/18
Although advanced statistical models have been proposed to fit complex data better, the advances of science and technology have generated more complex data, e.g., Big Data, in which existing probabili...
2018随机矩阵与自由概率论研讨会（Workshop on Random Matrices and Free Probability Theory）
2018 随机矩阵与自由概率论 研讨会
2017/12/20
The workshop will explore large-N asymptotics of random matrices, in connection with the operator-algebra models of their limiting behavior that appear in free probability theory. The behavior or rand...
2017中国-法国-俄罗斯概率论联合研讨会（Joint China-France-Russia Symposium on Probability Theory）
2017 中国-法国-俄罗斯概率论联合 研讨会
2017/4/24
The aim of the Symposium is to update a tradition of collaboration between probabilists in China, France and Russia, witnessed by two successful meetings in the past: the Joint China-France Symposium ...
Joint China-France-Russia Symposium on Probability Theory
Joint China-France-Russia Symposium Probability Theory
2017/3/28
The aim of the Symposium is to update a tradition of collaboration between probabilists in China, France and Russia, witnessed by two successful meetings in the past: the Joint China-France Symposium ...
Ruin theory with a Markov chain interest model
Probability Markov chain Ruin function Interest
2011/11/5
In this paper we consider a discrete time risk process with a Markov chain interest model. We derive recursive equations satisfied respectively by the joint distribution of surplus immediately before ...
Tail Asymptotic of Sum and Product of Random Variables with Applications in the Theory of Extremes of Conditionally Gaussian Processes
tail asymptotic Laplace method self-similar processes Gaussian processes locally stationary processes
2011/9/15
Abstract: We consider two independent random variables with the given tail asymptotic (e.g. power or exponential). We find tail asymptotic for their sum and product. This is done by some cumbersome bu...
Regularity of Schramm-Loewner Evolutions, annular crossings, and rough path theory
Schramm-Loewner Evolutions annular crossings rough path theory
2011/9/14
Abstract: When studying stochastic processes, it is often fruitful to have an understanding of several different notions of regularity. One such notion is the optimal H\"older exponent obtainable unde...
Potential theory of one-dimensional geometric stable processes
geometric stable process Green function first exit time tail function Poisson kernel Levy process
2011/8/25
Abstract: The purpose of this paper is to find optimal estimates for the Green function and the Poisson kernel for a half-line and intervals of the geometric stable process with parameter $\alpha\in(0...
A case of combination of evidence in the Dempster-Shafer theory inconsistent with evaluation of probabilities
data fusion Dempster-Shafer theory evidence accumulation probability uncertainty
2011/8/22
Abstract: The Dempster-Shafer theory of evidence accumulation is one of the main tools for combining data obtained from multiple sources. In this paper a special case of combination of two bodies of e...
From constructive field theory to fractional stochastic calculus. (I) An introduction: rough path theory and perturbative heuristics
fractional Brownian motion stochastic integrals rough paths
2011/2/22
Let B = (B1(t), . . . ,Bd(t)) be a d-dimensional fractional Brownian motion with Hurst index ≤ 1/4, or more generally a Gaussian process whose paths have the same local regularity. Defining properly...
The Classical Limit of Representation Theory of the Quantum Plane
Classical Limit of Representation Theory of the Quantum Plane
2011/2/22
We showed that there is a complete analogue of a representation of the quantum plane Bq where |q| = 1, with the classical ax + b group.
We construct the RR varieties as the fiber products of Bott-Samelson varieties over Richardson varieties. We study their homogeneous coordinate rings and standard monomial theory.
HISTABRUT: A Maple Package for Symbol-Crunching in Probability theory
Maple Package Symbol-Crunching Probability theory
2010/12/7
A Maple package HISTABRUT (available from ttp://www.math.rutgers.edu/~zeilberg/tokhniot/HISTABRUT)is presented and briefly described. It uses the polynomial ansatz to discover (often fully rigorously,...
Generalised shape theory via pseudo-Wishart distribution
Shape theory maximum likelihood estimators zonal polynomials pseudo-Wishart distribution
2010/12/8
The non isotropic noncentral elliptical shape distributions via pseudo-Wishart dis-tribution are founded. This way, the classical shape theory is extended to non isotropic case and the normality assum...