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Existence of random gradient states
random interfaces gradient Gibbs measures disordered systems Green function
2011/2/24
We consider two versions of random gradient models. In model A) the interface feels a bulk
term of random fields while in model B) the disorder enters though the potential acting on the
gradients it...
Low noise limit for the invariant measure of a multi-dimensional stochastic Allen-Cahn equation
Stochastic reaction-di usion equation Invariant measure Large deviations
2011/1/21
We study the invariant measure of a discretized stochastic Allen-Cahn equation in d+1 dimensions in the low noise limit. We consider a cuboidal domain and impose the two stable
phases as boundary con...
Random Gaussian sums on trees
Gaussian processes processes indexed by trees bounded processes
2011/1/21
Let T be a tree with induced partial order . We investigate centered Gaussian processes
X = (Xt)t∈T represented as Xt = σ(t) X vt α(v)ξv for given weight functions α and σ on T and with (ξv)v∈T i.i...
A path in an edge-colored graph is called a rainbow path if all edges on it have pairwise
distinct colors. For k ≥ 1, the rainbow-k-connectivity of a graph G, denoted rck(G), is the
minimum number o...
On the limit distributions of some sums of a random multiplicative function
limit distributions of some sums of random multiplicative function
2011/1/17
We study sums of a random multiplicative function; this is an example,of number-theoretic interest, of sums of products of independent random variables (chaoses).
Weak disorder in the stochastic mean-field model of distance II
First passage percolation complete graph extreme value theory hopcount
2010/12/9
In this paper, we study the complete graph Kn with n vertices, where we attach an i.i.d. weight to each of the n(n − 1)/2 edges. We focus on the weight Wn and the number of edges Hn of the minim...
二重随机序列随机和的重对数律
二重随机序列 重对数律 随机变量序列的随机和
2011/12/26
得到了二重随机序列{ξn,j;n,j≥1}随机和的重对数律, 其中{ξn,j;n,j≥1}是相互独立的且对任意的正整数n, {ξn,j;j≥1}有相同分布.
On Approximations and Ergodicity Classes in Random Chains
Approximations Ergodicity Classes Random Chains
2010/11/30
We study the limiting behavior of a random dynamic system driven by a stochastic chain. Our main interest is in the chains that are not necessarily er godic but rather decomposable into ergodic classe...
Two dimensional Meixner random vectors of class ${\mathcal M}_L$
commutator annihilation operator creation operator preservation operator
2010/11/29
The paper is divided into two parts. In the first part we
lay down the foundation for defining the joint annihilation–preservation–creation decomposition of a finite family of, not necessarily commut...
Random maximal isotropic subspaces and Selmer groups
Random maximal isotropic subspaces Selmer groups
2010/11/26
Selmer groups. D. R. Heath-Brown [HB93, HB94] and P. Swinnerton-Dyer [SD08]obtained the distribution for the nonnegative integer s(E) defined as the F2-dimension of the 2-Selmer group Sel2(E) minus th...
Weak convergence of random walks conditioned to stay away
Weak convergence walks conditioned
2010/11/29
Let {Xn}n∈N be a sequence of i.i.d. randomvariables in Zd. Let Sk = X1 + ...+ Xk and Yn(t) be the continuous process on [0, 1] for which Yn(k/n) = Sk/√n k = 1, ..., n and which is linearly interpolate...
A generalization of random self-decomposability
self-decomposability random self-decomposability
2010/12/13
The notion of random self-decomposability is generalized here.Its relation to self-decomposability, Harris infinite divisibility and its connec-tion with a stationary first order generalized autoregre...
On Random Field Induced Ordering in the Classical XY Model
Random Field Induced Ordering Classical XY Model
2010/12/13
Consider the classical XY model in a weak random external field pointing along the Y axis with strength . We study the behavior of this model as the range of the interaction is varied.
We prove that...
Excited Brownian motions as limits of excited random walks
Excited Brownian motions limits of excited random walks
2010/12/14
We obtain the convergence in law of a sequence of excited (also called cookies) random walks toward an excited Brownian motion. This last process is a continuous semi-martingale whose drift is a funct...
Locally Perturbed Random Walks with Unbounded Jumps
Random walk local impurities infinite horizon weak convergence Brownian motion local limit theorem
2010/12/8
In [17], D. Szász and A. Telcs have shown that for the diffusively scaled,simple symmetric random walk, weak convergence to the Brownian motion holds even in the case of local impurities if d ≥ 2.