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all ( ,F1,P,X,F) the canonical space for the standard random walk on Z. Thus, denotes the set of paths  : N ! Z such that |(n + 1) − (n)| = 1, X = (Xn, n  0) is the canonical coordinate proc...
Consider a critical random multigraph Gn constructed by the con guration model such that its vertex degrees are independent random variables with the same distribution  (criticality means that the se...
Guided by the relationship between the breadth- rst walk of a rooted tree and its sequence of generation sizes, we extend the Lamperti representation of continuous-state branching processes to allow i...
The aim of this paper is to present the stochastic Poisson equations as-sociated to Lie algebroids. The obtained results are used for determination of stochastic Poisson equations associated to a refi...
The integrated density of states of a Schr¨odinger operator with random potential given by a homogeneous Gaussian field whose covariance function is continuous, compactly supported and has positive me...
We propose a novel method of reconstructing the topology and interaction functions for a general oscillator network. An ensemble of initial phases and the corresponding instantaneous frequencies is co...
The spectrum of random lifts      spectrum  random lifts        2011/2/22
For a fixed d-regular graph H, a random n-lift is obtained by replacing each vertex v of H by a “fibre” containing n vertices, then placing a uniformly random matching between fibres corresponding to ...
We examine the stability of wireless networks whose users are distributed over a compact space. Users arrive at spatially uniform locations with intensity  and each user has a random number of packet...
We are interested in optimally driving a dynamical system that can be influenced by exogenous noises. This is generally called a Stochastic Optimal Control (SOC) problem and the Dynamic Programming (D...
We determine, to within O(1), the expected minimal position at level n in certain branching random walks. The walks under consideration have displacement vector (v1; v2; : : :) where each vj is the su...
Choo-Siow (2006) propose a very general model for the marriage market which allows for randomly identically distributed noise in the preferences of each of the participants. The randomness is McFadden...
In this paper we consider a generalization of analysis on p-adic numbers field to the m case of m-adic numbers ring. The basic statements, theorems and formulas of p-adic analysis can be used for the ...
The solution of a (stochastic) di erential equation can be locally approxi-mated by a (stochastic) expansion. If the vector eld of the di erential equation is a polynomial, the corresponding expansio...
We consider a SPDE (stochastic partial differential equation) which describes the velocity field of a viscous, incompressible non-Newtonian fluid subject to a random force.Here, the extra stress tenso...
We define a new type of self-similarity for one-parameter families of stochastic processes, which applies to a number of important families of processes that are not self-similar in the conventional...

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