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RANDOM WALKS ARISING IN RANDOM NUMBER GENERATION。
RANDOM WALKS AND HYPERPLANE ARRANGEMENTS。
Annealed and quenched fluctuations for ballistic random walks in random environment on Z
Random walk in random environment stable laws
2011/1/19
We consider transient random walks in random environment on Z in the positive speed
(ballistic) and critical zero speed regimes. A classical result of Kesten, Kozlov and Spitzer proves that the hitti...
Connectivity properties of random interlacement and intersection of random walks
Random interlacement random walk intersection of random walks capacity
2011/2/24
We consider the interlacement Poisson point process on the space of doubly-infinite Zd-valued
trajectories modulo time shift, tending to infinity at positive and negative infinite times. The set of v...
Lamplighter Random Walks and Entropy-Sensitivity of Languages
Lamplighter Random Walks Entropy-Sensitivity of Languages
2011/1/21
I declare that I have authored this thesis independently, that I have not used other than the declared sources/resources, and that I have explicitely marked all material which has been quotes either l...
Hitting distributions of simple random walks on Sierpinski graphs
In [Ka] Kaimanovich de ned an augmented rooted tree X for the
2011/2/25
In [Ka], Kaimanovich de ned an augmented rooted tree X for the d-dimensional Sierpinski gasket K. Let fZtg be the simple random walk on X,starting at the root ;.
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...
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.