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Contents of PMS, Vol. 13, Fasc. 1,
pages 165 - 176
 

STRUCTURE OF LÉVY MEASURES OF STABLE RANDOM FIELDS OF CHENTSOV TYPE

Yumiko Sato

Abstract: We study finite-dimensional distributions of symmetric a -stable (abbreviated as Sa S) random fields of Chentsov type, 0 < a < 2. We discuss a structure of the spherical components of Lévy measures and their determinism which depends on the dimension of the parameter space Rd. Here we treat mainly the cases d = 1 and d = 2 where a proof is direct and admits a geometrical understanding. The general case will be treated in [4].

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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