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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Large deviations in random interlacements IV: the entropic repulsion phenomenon and other types of large deviations
随机交错 大偏差 熵斥力现象 大偏差
2023/5/8
In this lecture, I will talk about how to control the deviation of the occupation-time profile conditioned on disconnection so that this conditioning makes the model exhibit a phenomenon generally kno...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Large deviations in random interlacements II: tilted interlacements and solidification of porous surfaces
随机交错 大偏差 倾斜交错 多孔表面 固化
2023/5/10
In this lecture, I will discuss how tilting and coarse graining, two key ideas in modern probability, come into play in deriving respectively the lower and upper bounds of the asymptotic probability i...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Large deviations in random interlacements I: Large deviation principle of occupation measures
随机交错 大偏差 占用措施 大偏差原则
2023/5/10
In this lecture, I will talk about the large deviation problems in random interlacements, in particular the LDP of the occupation measure, and discuss its relations to sharp asymptotic probabilities o...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Connection probabilities for random-cluster model and uniform spanning treeConnection probabilities for random-cluster model and uniform spanning tree
随机 聚类模型 均匀生成树 连接概率
2023/5/16
Conformal invariance of critical lattice models in two-dimensional has been vigorously studied for decades. The first example where the conformal invariance was rigorously verified was the planar unif...
安徽师范大学数学计算机科学学院概率论与数理统计英文课件Chapter2 Random Variables and their Mathematical Characters
安徽师范大学数学计算机科学学院 概率论 数理统计 英文课件 Chapter2 Random Variables Mathematical Characters
2019/11/26
安徽师范大学数学计算机科学学院概率论与数理统计英文课件Chapter2 Random Variables and their Mathematical Characters。
安徽师范大学数学计算机科学学院概率论与数理统计英文课件Chapter1 Random Events and Probability
安徽师范大学数学计算机科学学院 概率论 数理统计 英文课件 Chapter1 Random Events Probability
2019/11/26
安徽师范大学数学计算机科学学院概率论与数理统计英文课件Chapter1 Random Events and Probability。
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...
安徽师范大学概率论与数理统计课件Chapter3 Random Vectors and their Numerical Characteristics
安徽师范大学 概率论 数理统计 课件 Chapter3 Random Vectors Numerical Characteristics
2017/3/6
安徽师范大学概率论与数理统计课件Chapter3 Random Vectors and their Numerical Characteristics。
安徽师范大学概率论与数理统计课件Chapter2 Random Variables and their Mathematical Characters
安徽师范大学 概率论 数理统计 课件 Chapter2 Random Variables Mathematical Characters
2017/3/6
安徽师范大学概率论与数理统计课件Chapter2 Random Variables and their Mathematical Characters。
安徽师范大学概率论与数理统计课件Chapter1 Random Events and Probability
安徽师范大学 概率论 数理统计 课件 Chapter1 Random Events Probability
2017/3/6
安徽师范大学概率论与数理统计课件Chapter1 Random Events and Probability。
NON-PERTURBATIVE APPROACH TO RANDOM WALK IN MARKOVIAN ENVIRONMENT
Random Walk Random environment CLT Gibbs
2015/9/29
The study of random walk in random evolving environment has attracted much attention lately.
The basic idea is that, due to the time mixing properties of the environment, the CLT should hold
in any ...
LIMIT THEOREMS FOR RANDOM WALKS ON A STRIP IN SUBDIFFUSIVE REGIMES
RWRE random walks on a strip quenched random environments
2015/9/29
We study the asymptotic behaviour of occupation times of a transient random walk in a
quenched random environment on a strip in a sub-di usive regime. The asymptotic behaviour of hitting
times, whic...
CENTRAL LIMIT THEOREM FOR RECURRENT RANDOM WALKS ON A STRIP WITH BOUNDED POTENTIAL
RANDOM WALKS CENTRAL LIMIT THEOREM
2015/9/29
We prove that a recurrent random walk (RW) in i.i.d. random
environment (RE) on a strip which does not obey the Sinai law exhibits the
Central Limit asymptotic behaviour.
SCALING LIMITS OF RECURRENT EXCITED RANDOM WALKS ON INTEGERS
Limit random walk RECURRENT EXCITED
2015/9/29
We describe scaling limits of recurrent excited random walks (ERWs) on
Z in i.i.d. cookie environments with a bounded number of cookies per site. We allow
both positive and negative excitations.
Central Limit Theorem for Excited Random Walk in the Recurrent Regime
Recurrent Regime Excited Random Walk
2015/9/29
We consider excited random walk on a strip. We assume that the
cookies are positive and that the total expected drift per site is less than 1/L where
L is the width of the strip. We prove a quenched...