Summary
LetL(x, t) be the local time process of a standard Wiener process {W(t),t>0}. Denote
, The almost sure behavior of the random measure μ(r, q) is investigated.
References
Abramowitz, M., Stegun, I.: Handbook of mathematical functions. New York: Dover 1970
Borodin, A.N.: Brownian local time. Usp. Math. Nauk44, 7–48 (1989) [in Russian]
Doetsch, G.: Handbook der Laplace = Transformation 1. Basel: Birkhäuser 1950
Földes, A.: On the infimum of the local time of a Wiener Process. Probab. Theory Relat. Fields82, 545–563 (1989)
Knight, F.B.: Essentials of Brownian motion and diffusion. Am. Math. Soc.18, 100 (1981)
Major, P.: On the set visited once by a random walk. Probab. Theory Relat. Fields77, 117–128 (1988)
Newman, D.: In a random walk the number of “unique experiences” is two on the average. SIAM26, 573–574 (1984)
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Földes, A., Révész, P. On hardly visited points of the Brownian motion. Probab. Th. Rel. Fields 91, 71–80 (1992). https://doi.org/10.1007/BF01194490
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DOI: https://doi.org/10.1007/BF01194490
Keywords
- Time Process
- Stochastic Process
- Brownian Motion
- Probability Theory
- Local Time