Nualart, EulàliaMountford, Thomas S.2018-04-182018-04-182004Mountford TS, Nualart E. Level sets of multiparameter Brownian motions. Electron J Probab. 2004;9(20):594-614. DOI: 10.1214/EJP.v9-1691083-6489http://hdl.handle.net/10230/34388We use Girsanov's theorem to establish a conjecture of Khoshnevisan, Xiao and Zhong that ϕ(r)=rN−d/2(loglog(1r))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 ϕ-measure of the zero set.application/pdfengThis article is published with a Creative Commons Attribution Licence (CC BY 2.5)info:eu-repo/semantics/articlehttp://dx.doi.org/10.1214/EJP.v9-169Local timesHausdorff measureLevel setsAdditive Brownian motioninfo:eu-repo/semantics/openAccess