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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。
安徽师范大学概率论与数理统计课件Chapter4 Limit Theorems。
SZEGO LIMIT THEOREMS ON THE SIERPINSKI GASKET
Analysis on Fractals equally distributed sequences Laplacian localized eigenfunctions Sierpinski gasket strong Szego limit theorem
2015/12/10
We use the existence of localized eigenfunctions of the Laplacian on the Sierpinski gasket (SG) to formulate and prove analogues of the strong Szego limit theorem in this fractal setting.Furthermore, ...
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...
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...
Local Limit Theorems for Random Walks in a 1D Random Environment
RWRE quenched random environments
2015/9/29
We consider random walks (RW) in a one-dimensional i.i.d.
random environment with jumps to the nearest neighbours. For almost
all environments, we prove a quenched Local Limit Theorem (LLT) for
the...
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...
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...
One of the major discoveries of the 20th century mathematics is
the possibility of random behavior of deterministic systems. There is
a hierarchy of chaotic properties for a dynamical systems but on...
We consider a large class of partially hyperbolic systems containing, among others, ane maps, frame
ows on negatively curved manifolds and mostly contracting di eomorphisms.
If the rate of mixing ...
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’...
We study the scaling limits of three different aggregation models on Zd: internal DLA, in which particles perform random walks until reaching an unoccupied site; the rotor-router model, in which parti...
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 ...
CENTRAL LIMIT THEOREMS FOR SOME SET PARTITION STATISTICS
Parameters random limit theorem dimension index level
2015/7/7
We prove the conjectured limiting normality for the number of crossings of a uniformly chosen set partition of [n] = f1;2; : : : ; ng. The arguments use a novel stochastic representation and are also ...