Abstract
Let (μt)t>0 be a convolution semigroup of probability measures of Poisson type on a complete separable metric abelian group. The purpose of this note is to provide a short and elementary proof of the zero-one law for (μt)t>0.
The research of this author is supported by KBN Grant, the University of Tennessee, and the University of Tennessee Science Alliance, a State of Tennessee Center of Excellence.
The research of this author is supported by AFSOR Grant # 90–016 8, and the University of Tennessee Science Alliance, a State of Tennessee Center of Excellence.
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© 1993 Springer-Verlag New York, Inc.
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Byczkowski, T., Rajput, B.S. (1993). Zero-One Law for Semigroups of Measures on Groups. In: Cambanis, S., Ghosh, J.K., Karandikar, R.L., Sen, P.K. (eds) Stochastic Processes. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7909-0_4
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