Sojourn times and the exact Hausdorff measure of the sample path for planar Brownian motion
Author:
Daniel Ray
Journal:
Trans. Amer. Math. Soc. 106 (1963), 436-444
MSC:
Primary 60.62
DOI:
https://doi.org/10.1090/S0002-9947-1963-0145599-X
MathSciNet review:
0145599
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References | Similar Articles | Additional Information
- Z. Ciesielski and S. J. Taylor, First passage times and sojourn times for Brownian motion in space and the exact Hausdorff measure of the sample path, Trans. Amer. Math. Soc. 103 (1962), 434–450. MR 143257, DOI https://doi.org/10.1090/S0002-9947-1962-0143257-8
- G. A. Hunt, Some theorems concerning Brownian motion, Trans. Amer. Math. Soc. 81 (1956), 294–319. MR 79377, DOI https://doi.org/10.1090/S0002-9947-1956-0079377-3
- Frank B. Knight, On the random walk and Brownian motion, Trans. Amer. Math. Soc. 103 (1962), 218–228. MR 139211, DOI https://doi.org/10.1090/S0002-9947-1962-0139211-2
- Paul Lévy, La mesure de Hausdorff de la courbe du mouvement brownien, Giorn. Ist. Ital. Attuari 16 (1953), 1–37 (1954) (French). MR 64344
- C. A. Rogers and S. J. Taylor, Functions continuous and singular with respect to a Hausdorff measure, Mathematika 8 (1961), 1–31. MR 130336, DOI https://doi.org/10.1112/S0025579300002084
- H. F. Trotter, A property of Brownian motion paths, Illinois J. Math. 2 (1958), 425–433. MR 96311
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Article copyright:
© Copyright 1963
American Mathematical Society
