# The exact Hausdorff measure of Brownian multiple points

@inproceedings{Gall1986TheEH, title={The exact Hausdorff measure of Brownian multiple points}, author={J. F. Le Gall}, year={1986} }

- Published 1986
DOI:10.1007/978-1-4612-3698-6_11

The purpose of this note is to sharpen a result established in [5] concerning the Hausdorff measure of the set of multiple points of a d-dimensiohal Brownian motion. Let X = (Xt, t ≥ 0) denote a standard two-dimensional Brownian motion and, for every integer k ≥ 1, let Mk, denote the set of k-multiple points of X (a point z is said to be k-multiple if there exist k distinct times \(0 \leqslant t_1 < \ldots < t_k \) such that \(X_{t_1 } = \ldots = X_{t_k } = z \)). A canonical measure on Mk, can… CONTINUE READING

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