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On the coalescence time of reversible random walks      coalescing random walks  voter model  hitting time       font style='font-size:12px;'> 2010/11/29
Consider a system of coalescing random walks where each individual performs ran-dom walk over a finite graph G, or (more generally) evolves according to some reversible Markov chain generator Q. Let C...
The problems considered in the present paper have their roots in two different cultures. The ‘true’ (or myopic) self-avoiding walk model (TSAW) was introduced in the physics literature by Amit, Parisi...
We consider a random walk in a stationary ergodic environment in Z, with unbounded jumps. In addition to uniform ellipticity and a bound on the tails of the possible jumps, we assume a condition of s...
Weak convergence of random walks conditioned to stay away      Weak convergence  walks conditioned        font style='font-size:12px;'> 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...
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...
First-Passage Exponents of Multiple Random Walks      First-Passage Exponents  Multiple Random Walks        font style='font-size:12px;'> 2010/12/15
We investigate first-passage statistics of an ensemble of N noninteracting random walks on a line.Starting from a configuration in which all particles are located in the positive half-line, we study S...
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.
Considering quantum random walks, we construct discrete-time approximations of the eigenvalues processes of minors of Hermitian Brownian motion.
We consider quantum random walks (QRW) on the integers, a subject that has been considered in the last few years in the framework of quantum computation. We show how the theory of CMV matrices gives a...
We study the scaling limit for a catalytic branching particle system whose particles perform random walks on ${\Bbb Z}$ and can branch at 0 only. Varying the initial (finite) number of particles, we g...
We review recent studies demonstrating a nonuniversal (continuously variable) survival exponent for historydependent random walks, and analyze a new example, the hard movable partial reflector. These ...
Random Walks and Electric Networks     Random Walks  Electric Networks       font style='font-size:12px;'> 2010/10/29
A popular account of the connection between random walks and electric networks.

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