## The Annals of Probability

### Maximum in the Levy-Baxter Theorem for Gaussian Random Fields

#### Abstract

The range of almost sure limits of $F$-variation for a class of Gaussian random fields is considered by adopting a class of sequences of partitions in the parameter space of the random field. The application to Levy's Brownian motion explains, in the case of two-dimensional parameters, that the almost sure limit given by Berman is the maximum in a range.

#### Article information

Source
Ann. Probab., Volume 7, Number 1 (1979), 173-178.

Dates
First available in Project Euclid: 19 April 2007

https://projecteuclid.org/euclid.aop/1176995161

Digital Object Identifier
doi:10.1214/aop/1176995161

Mathematical Reviews number (MathSciNet)
MR515826

Zentralblatt MATH identifier
0392.60045

JSTOR