@article{EJP169,
author = {Eulalia Nualart and Thomas Mountford},
title = {Level Sets of Multiparameter Brownian Motions},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {9},
year = {2004},
keywords = {Local times; Hausdorff measure; level sets; additive Brownian motion},
abstract = {We use Girsanov's theorem to establish a conjecture of Khoshnevisan, Xiao and Zhong that $\phi(r) = r^{N-d/2} (\log \log (\frac{1}{r}))^{d/2}$ is the exact Hausdorff measure function for the zero level set of an $N$-parameter $d$-dimensional additive Brownian motion. We extend this result to a natural multiparameter version of Taylor and Wendel's theorem on the relationship between Brownian local time and the Hausdorff $\phi$-measure of the zero set.},
pages = {no. 20, 594-614},
issn = {1083-6489},
doi = {10.1214/EJP.v9-169},
url = {http://ejp.ejpecp.org/article/view/169}}