The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off


  • Dalang, Robert C.; Nualart, Eulalia. Potential theory for hyperbolic SPDEs. Ann. Probab. 32 (2004), no. 3A, 2099--2148. MR2073187
  • Falconer, K. J. The geometry of fractal sets. Cambridge Tracts in Mathematics, 85. Cambridge University Press, Cambridge, 1986. xiv+162 pp. ISBN: 0-521-25694-1; 0-521-33705-4 MR0867284
  • Geman, Donald; Horowitz, Joseph. Occupation densities. Ann. Probab. 8 (1980), no. 1, 1--67. MR0556414
  • Geman, Donald; Horowitz, Joseph; Rosen, Jay. A local time analysis of intersections of Brownian paths in the plane. Ann. Probab. 12 (1984), no. 1, 86--107. MR0723731
  • scKhoshnevisan, D., Xiao, Y. and Zhong, Y. (2001), Local times of additive Lévy processes, I: Regularity. Preprint.
  • Mountford, Thomas S. Brownian sheet local time and bubbles. Séminaire de Probabilités XXXVII, 196--215, Lecture Notes in Math., 1832, Springer, Berlin, 2003. MR2053046
  • Mueller, C.; Tribe, R. Hitting properties of a random string. Electron. J. Probab. 7 (2002), no. 10, 29 pp. (electronic). MR1902843
  • Orey, Steven; Pruitt, William E. Sample functions of the $N$-parameter Wiener process. Ann. Probability 1 (1973), no. 1, 138--163. MR0346925
  • Perkins, Edwin. The exact Hausdorff measure of the level sets of Brownian motion. Z. Wahrsch. Verw. Gebiete 58 (1981), no. 3, 373--388. MR0639146
  • scRevuz, D. and Yor, M. (1998), Continuous martingales and Brownian motion. Springer-Verlag, New York.
  • Rogers, C. A. Hausdorff measures. Cambridge University Press, London-New York 1970 viii+179 pp. MR0281862
  • Taylor, S. J. Sample path properties of a transient stable process. J. Math. Mech. 16 1967 1229--1246. MR0208684
  • Taylor, S. J.; Wendel, J. G. The exact Hausdorff measure of the zero set of a stable process. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 6 1966 170--180. MR0210196
  • Xiao, Yimin. Hölder conditions for the local times and the Hausdorff measure of the level sets of Gaussian random fields. Probab. Theory Related Fields 109 (1997), no. 1, 129--157. MR1469923

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.