A Zero-One Dichotomy Theorem for r-Semi-Stable Laws on Infinite Dimensional Linear Spaces.

Abstract

Let mu be an r-semistable probability measure on a real linear space e. It is shown that the mu-measure of any translate of an arbitrary measurable linear subspace over certain countable subfield of reals is 0 or 1. This result yields dudley-Kantor 0-1 laws for stable laws and fernique 0-1 law for quasistable lasw. It is also shown that the r-semistable laws - like stable ones - are continuous: i.e., they assign zero mass to singletons. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1978
Accession Number
ADA088343

Entities

People

  • Albert Tortrat
  • Balram S. Rajput
  • Donald Louie

Organizations

  • University of Tennessee

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  • Algebra
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  • Mathematics

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  • Mathematical Modeling and Probability Theory.

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