Sojourn times and the exact Hausdorff measure of the sample path for planar Brownian motion
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- by Daniel Ray
- Trans. Amer. Math. Soc. 106 (1963), 436-444
- DOI: https://doi.org/10.1090/S0002-9947-1963-0145599-X
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References
- 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 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 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 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 10.1112/S0025579300002084
- H. F. Trotter, A property of Brownian motion paths, Illinois J. Math. 2 (1958), 425–433. MR 96311
Bibliographic Information
- © Copyright 1963 American Mathematical Society
- 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