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First we note that the construction of the A -process for all time is trivial, since the A -particles by themselves merely perform independent continuous time simple random walks..
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
Key words: intersection local time, moderate deviations, planar, random walks, large de- viations, Brownian motion, Gagliardo-Nirenberg, law of the iterated logarithm.. AMS 2000
Now, since the vectorial domain is stable by regular functions, we introduce a notion of convergence that extends to error structures the notion of weak convergence of random
Keywords interacting diffusion, clustering, infinite particle system, delayed coalescing random walk with immigration, transformed Fisher-Wright tree, low dimensional systems,
The expression just obtained for the distribution of coalescing Brownian motions is closely related to the formula for the transition density of the interlaced Brownian motions given
At the end of this note we show that (2) is not true in three dimensions, i.e., with probability one, the cut points of two independent three dimensional simple random walks
We present a short probabilistic proof of a weak convergence result for the number of cuts needed to isolate the root of a random recursive tree.. The proof is based on a
