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math.PR2012★ 2 cited
Mutually excited random walks
Noam Berger, Eviatar B. Procaccia
Consider two random walks on . The transition probabilities of each walk is dependent on trajectory of the other walker i.e. a drift is obtained in a position t…
math.PR2012
Stretch IDLA
Noam Berger, Jacob J. Kagan, Eviatar B. Procaccia
We consider a new IDLA - particle system model, on the upper half planar lattice, resulting in an infinite forest covering the half plane. We prove that almost surely all trees are…