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A Lévy-Khinchin formula for free groups

Published 21 Apr 2013 in math.GR, math.FA, and math.OA | (1304.5763v2)

Abstract: We find a L\'evy-Khinchin formula for radial functions on free groups. As a corollary we obtain a linear bound on the growth of radial, conditionally negative definite functions on free groups of two or more generators.

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