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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。
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...
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...
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 ...
Limit theorems for bifurcating autoregressive processes with missing data
bifurcating autoregressive process missing data
2011/1/20
We study the asymptotic behavior of the least squares estimators of the unknown parameters of bifurcating autoregressive processes when some of the data are missing.
Limit theorems for Betti numbers of random simplicial complexes
Limit theorems random simplicial complexes
2010/12/9
There have been several recent articles studying homology of various types of random simplicial complexes. Several theorems have concerned thresholds for vanishing of homology, and in some cases expec...