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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
2023/11/21
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
2023/11/14
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 deformation limit in deformation theory
变形理论 变形极限 射影流形
2023/11/14
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...
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Chapter4 Limit Theorems
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 Chapter4 Limit Theorems
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Chapter4 Limit Theorems。
LIMIT THEOREMS FOR DISPERSING BILLIARDS WITH CUSPS
Dispersing billiards Sinai billiards cusps
2015/9/29
Dispersing billiards with cusps are deterministic dynamical systems with a mild degree of chaos, exhibiting “intermittent” behavior that alternates between regular and chaotic patterns. Their statisti...
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.
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...
QUENCHED LIMIT THEOREMS FOR NEAREST NEIGHBOUR RANDOM WALKS IN 1D RANDOM ENVIRONMENT
NEIGHBOUR RANDOM WALKS IMIT THEOREMS
2015/9/29
It is well known that random walks in one dimensional random environment can exhibit subdiffusive behavior due
to presence of traps. In this paper we show that the passage times
of diffe...
A LOCAL LIMIT THEOREM FOR SUMS OF INDEPENDENT RANDOM VECTORS
THEOREM FOR SUMS INDEPENDENT RANDOM
2015/9/29
We prove a local limit the sums of independent random vectors satisfying appropriate tightness assumptions. In particular, the local limit theorem holds in dimension 1 if the summands are uniformly bo...
One of the surprising discoveries of dynamical systems theory is
that many deterministic systems with non-zero Lyapunov exponents
satisfy the same limit theorems as the sums of independent random
v...
A Limit Shape Theorem for Periodic Stochastic Dispersion
Periodic Stochastic Dispersion Shape
2015/9/29
We consider the evolution of a connected set on the plane carried by a space
periodic incompressible stochastic flow. While for almost every realization of
the stochastic flow at time t ...
LIMIT THEOREMS FOR LOCALLY PERTURBED PLANAR LORENTZ PROCESSES
LOCALLY PERTURBED PLANAR PROCESSES
2015/9/29
Modify the scatterer conguration of a planar, nitehorizon Lorentz process in a bounded domain. Sinai asked in
1981 whether for the diffusively scaled variant of the modied
process convergence to Bro...
We study a particle moving in R
2 under a constant (external) force
and bouncing off a periodic array of convex domains (scatterers); the
latter must satisfy a standard ‘finite horizon’...
UNIVERSAL POISSON AND NORMAL LIMIT THEOREMS IN GRAPH COLORING PROBLEMS WITH CONNECTIONS TO EXTREMAL COMBINATORICS
Limit theorem the monochromatic edge evenly random colors random graph
2015/7/7
This paper proves limit theorems for the number of monochromatic edges in uniform random colorings of general random graphs. The limit theorems are universal depending solely on the limiting behavior ...
A limit equation associated to the solvability of the vacuum Einstein constraint equations using the conformal method
solvability vacuum Einstein constraint equations conformal method
2011/1/28
Let (M, g) be a compact Riemannian manifold on which a tracefree and divergence-free 2 W1,p and a positive function 2 W1,p, p > n,are fixed. In this paper, we study the vacuum Einstein constraint ...