A L\'evy-Khinchin formula for free groups
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math.FAmath.OA
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freegroupsevy-khinchinformulafunctionsradialboundconditionally
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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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