Zero-One Law for Symmetric Convolution Semigroups of Measures on Groups

H. Byczkowska and T. Byczkowski
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H. Byczkowska: Wrocław Technical University
T. Byczkowski: Wrocław Technical University

Journal of Theoretical Probability, 1998, vol. 11, issue 3, 633-643

Abstract: Abstract 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 Lévy measure. The purpose of this paper is to provide a relatively simple proof of the zero-one law for semigroups with the Lévy measure satisfying either v(H c) = ∞ or v(H c) = 0.

Keywords: Convolution semigroups of measures; Poisson measures; Gaussian measures; zero-one law (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1022698413824

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