## The Annals of Probability

### Local Holder Conditions for the Local Times of Certain Stationary Gaussian Processes

Laurie Davies

#### Abstract

A local Holder condition is obtained for the local time of a stationary Gaussian process with spectral density function proportional to $(a^2 + \lambda^2)^{-(\alpha +\frac{1}{2})}$. A lower bound for the Hausdorff measure of the zero set of the process is also obtained.

#### Article information

Source
Ann. Probab., Volume 4, Number 2 (1976), 277-298.

Dates
First available in Project Euclid: 19 April 2007

https://projecteuclid.org/euclid.aop/1176996134

Digital Object Identifier
doi:10.1214/aop/1176996134

Mathematical Reviews number (MathSciNet)
MR423497

Zentralblatt MATH identifier
0331.60028

JSTOR