Geodesic
On distributions of some functionals of Brownian local time
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 6, Tome 298 (2003), pp. 22-35 
A. N. Borodin. On distributions of some functionals of Brownian local time. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 6, Tome 298 (2003), pp. 22-35. http://geodesic.mathdoc.fr/item/ZNSL_2003_298_a1/
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     author = {A. N. Borodin},
     title = {On distributions of some functionals of {Brownian} local time},
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     year = {2003},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_298_a1/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Some functionals of Brownian local time are considered. For these functionals we propose the methods of the calculation of the distributions of the functionals.

[1] P. Lévy, “Sur certains processus stochastiques homogènes”, Compositio Math., 7 (1939), 283–339 | MR

[2] A. N. Borodin, “Raspredelenie funktsionalov ot brounovskogo dvizheniya, ostanovlennogo v moment, obratnyi k lineinoi kombinatsii lokalnykh vremen”, Zapiski nauchnykh seminarov POMI, 294, 2002, 43–54 | MR | Zbl

[3] A. N. Borodin, “O raspredelenii supremuma priraschenii brounovskogo lokalnogo vremeni”, Zapiski nauchnykh seminarov POMI, 142, 1985, 6–24 | MR | Zbl

[4] A. N. Borodin, “Raspredelenie integralnykh funktsionalov ot protsessa brounovskogo dvizheniya”, Zapiski nauchnykh seminarov POMI, 119, 1982, 19–38 | MR | Zbl

[5] A. N. Borodin, P. Salminen, Handbook of Brownian Motion – Facts and Formulae, Second Edition, Birkhäuser, Basel–Boston–Berlin, 2002 | MR | Zbl