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math.PR2014
Self-avoiding walks on finite graphs of large girth
Ariel Yadin
We consider self-avoiding walk on finite graphs with large girth. We study a few aspects of the model originally considered by Lawler, Schramm and Werner on finite balls in Z^d. Th…
math.PR2014
Harmonic measure in the presence of a spectral gap
Itai Benjamini, Ariel Yadin
We study harmonic measure in finite graphs with an emphasis on expanders, that is, positive spectral gap. It is shown that if the spectral gap is positive then for all sets that ar…