STRUCTURE OF LÉVY MEASURES OF STABLE RANDOM FIELDS OF
CHENTSOV TYPE
Abstract: We study finite-dimensional distributions of symmetric
-stable (abbreviated as
S
S) random fields of Chentsov type,
We discuss a structure of the spherical
components of Lévy measures and their determinism which depends on the dimension of the
parameter space
Here we treat mainly the cases
and
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: -