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It has been shown that certain types of random walks in random potentials and Brownian motion in Poissonian potentials undergo a phase transition from sub-ballistic to ballistic
The spectral norm is also of the same order for other related random matrix ensembles, including random Hankel matrices.. A family of random variables is uniformly subgaussian if
Key words: intersection local time, moderate deviations, planar, random walks, large de- viations, Brownian motion, Gagliardo-Nirenberg, law of the iterated logarithm.. AMS 2000
This article contains an investigation of simple random walks on Galton-Watson trees conditioned to survive, and we will start by introducing some relevant branching process and
Furthermore, the criterion applies to two important classes of branching random walks and implies that the critical branching random walk is transient resp.. dies
CENTRAL LIMIT THEOREMS FOR THE PRODUCTS OF RANDOM MATRICES SAMPLED BY A RANDOM WALK.. FR´ ED´ ERIQUE DUHEILLE-BIENVEN
For walks on continuous groups, we mention the work of Rosenthal [19] and Porod [17, 18], who obtain total variation rates of convergence for random walks on SO ( n ) and other
Key words: Weak convergence, Bernoulli random walks, Brownian meander, bridge, ex- cursion, peaks.... } be the set of
