## The Annals of Probability

### Intersection Local Time for Points of Infinite Multiplicity

#### Abstract

For each $a \in (0, \frac{1}{2})$, there exists a random measure $\beta_a$ which is supported on the set of points where two-dimensional Brownian motion spends $a$ units of local time. The measure $\beta_a$ is carried by a set which has Hausdorff dimension equal to $2 - a$. A Palm measure interpretation of $\beta_a$ is given.

#### Article information

Source
Ann. Probab., Volume 22, Number 2 (1994), 566-625.

Dates
First available in Project Euclid: 19 April 2007

https://projecteuclid.org/euclid.aop/1176988722

Digital Object Identifier
doi:10.1214/aop/1176988722

Mathematical Reviews number (MathSciNet)
MR1288124

Zentralblatt MATH identifier
0814.60078

JSTOR