Perkins, Edwin The exact Hausdorff measure of the level sets of Brownian motion. (English) Zbl 0458.60076 Z. Wahrscheinlichkeitstheor. Verw. Geb. 58, 373-388 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 20 Documents MSC: 60J65 Brownian motion 60J55 Local time and additive functionals Keywords:Hausdorff measure of the level sets; local time PDFBibTeX XMLCite \textit{E. Perkins}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 58, 373--388 (1981; Zbl 0458.60076) Full Text: DOI References: [1] Burkholder, D. L., Distribution function inequalities for martingales, Ann. Probability, 1, 19-42 (1973) · Zbl 0301.60035 [2] Ito, K.; McKean, H. P., Diffusion Processes and their Sample Paths (1965), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0127.09503 [3] Kingman, J. F.C., An intrinsic description of local time, J. London Math. Soc. 6 Ser., 2, 725-731 (1973) · Zbl 0283.60080 [4] Knight, F. B., Random walks and a sojourn density process of Brownian motion, Trans. Amer. Math. Soc., 109, 56-86 (1963) · Zbl 0119.14604 [5] Orey, S.; Taylor, S. J., How often on a Brownian path does the law of the iterated logarithm fail, Proc. London Math. Soc. 28 Ser., 3, 174-192 (1974) · Zbl 0292.60128 [6] Perkins, E.A.: A global intrinsic characterization of local time. [To appear in Ann. Probability] · Zbl 0469.60081 [7] Taylor, S. J., Sample Path Properties of Processes with Stationary Independent Increments, Stochastic Analysis, 387-414 (1973), New York: Wiley, New York [8] Taylor, S. J.; Wendel, J. G., The exact Hausdorff measure of the zero set of a stable process, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 6, 170-180 (1966) · Zbl 0178.52702 [9] Walsh, J. B., Downcrossings and the Markov property of local time, Temps Locaux, Astérisque 52-53, 89-115 (1978), Paris: Société Mathématique de France, Paris [10] Williams, D., Lévy’s downcrossing theorem, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 40, 157-158 (1977) · Zbl 0372.60115 [11] Kesten, H., An iterated logarithm law for local time, Duke Math. J., 32, 447-456 (1965) · Zbl 0132.12701 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.