Zero-One Law for Symmetric Convolution Semigroups of Measures on Groups
1998
Let (μ t )t>0 be a symmetric weakly continuous semigroup of probability measures on a nonabelien complete separable group G and let v be its Levy measure. The purpose of this paper is to provide a relatively simple proof of the zero-one law for semigroups with the Levy measure satisfying either v(Hc) = ∞ or v(Hc) = 0.
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