搜索结果: 1-15 共查到“理论统计学 percolation”相关记录15条 . 查询时间(0.111 秒)
Randomized algorithms for statistical image analysis and site percolation on square lattices
Image analysis signal detection percolation image reconstruction noisy image
2011/3/24
We propose a novel probabilistic method for detection of objects in noisy images. The method uses results from percolation and random graph theories. We present an algorithm that allows to detect obje...
Detection of objects in noisy images and site percolation on square lattices
Image analysis signal detection image recon-struction percolation noisy image
2011/3/24
We propose a novel probabilistic method for detection of objects in noisy images. The method uses results from percolation and random graph theories. We present an algorithm that allows to detect obje...
We prove the existence of a (random) Lipschitz function F: Zd-1 → Z+ such that, for every x∈ Zd-1, the site (x,F(x)) is open in a site percolation process on Zd. The Lipschitz constant may be taken to...
A Note on Percolation of Poisson Sticks。
Percolation Beyond Z^d, Many Questions And a Few Answers
Percolation criticality planar graph transitive graph isoperimeteric inequality
2009/5/12
A comprehensive study of percolation in a more general context than the usual $Z^d$ setting is proposed, with particular focus on Cayley graphs, almost transitive graphs, and planar graphs. Results co...
On the Non-Convexity of the Time Constant in First-Passage Percolation
First-passage percolation timeconstant convexity
2009/5/11
We give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the time constant in first-passage percolation, as a functional on the space of distribution functions. T...
Let $B(t)$ be a Brownian motion in $R^3$. A {it subpath} of the Brownian path $B[0,1]$ is a continuous curve $gamma(t)$, where $gamma[0,1] subseteq B[0,1]$ , $gamma(0) = B(0)$, and $gamma(1) = B(1)$. ...
On Long Range Percolation with Heavy Tails
Long range percolation truncation slab percolation
2009/4/28
Consider independent long range percolation on $mathbf{Z}^d$, $dgeq 2$,
where edges of length $n$ are open with
probability $p_n$. We show that if
$limsup_{ntoinfty}p_n>0,$ then there
exists an i...
Random Walk Attracted by Percolation Clusters
subcritical percolation subdiffusivity reversibility spectral gap
2009/4/27
Starting with a percolation model in Zd in the subcritical regime, we consider a random walk described as follows: the probability of transition from x to y is proportional to some function f of the s...
We examine the percolation model on $mathbb{Z}^d$ by an approach involving lattice animals and their surface-area-to-volume ratio. For $beta in [0,2(d-1))$, let $f(beta)$ be the asymptotic exponential...
The time constant and critical probabilities in percolation models
Percolation time constant critical probabilities Delaunay triangulations
2009/4/22
We consider a first-passage percolation (FPP) model on a Delaunay triangulation D of the plane. In this model each edge e of D is independently equipped with a nonnegative random variable, with distri...
Some two-dimensional finite energy percolation processes
energy percolation processes two-dimensional
2009/4/22
Some examples of translation invariant site percolation processes on the $Z^2$ lattice are constructed, the most far-reaching example being one that satisfies uniform finite energy (meaning that the p...
Critical Exponents in Percolation via Lattice Animals
Critical Exponent Percolation Lattice Animals
2009/4/7
We examine the percolation model on $mathbb{Z}^d$ by an approach involving lattice animals and their surface-area-to-volume ratio. For $beta in [0,2(d-1))$, let $f(beta)$ be the asymptotic exponential...
The time constant and critical probabilities in percolation models
time constant critical probabilities percolation models
2009/4/2
We consider a first-passage percolation (FPP) model on a Delaunay triangulation D of the plane. In this model each edge e of D is independently equipped with a nonnegative random variable, with distri...
A note on percolation on Zd：isoperimetric profile via exponential cluster repulsion
percolation parameters exponential cluster repulsion
2009/3/20
We show that for all p>p_c(Z^d) percolation parameters, the probability that the cluster of the origin is finite but has at least t vertices at distance one from the infinite cluster is exponentially ...