On distributions of special non-homogenious functionals of Brownian motion
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 8, Tome 320 (2004), pp. 5-29
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In the paper we develop some methods for calculations of the distributions of special non-homogenious functionals of Brownian motion. Some interesting examples of applications of these methods are considered.
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A. N. Borodin. On distributions of special non-homogenious functionals of Brownian motion. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 8, Tome 320 (2004), pp. 5-29. http://geodesic.mathdoc.fr/item/ZNSL_2004_320_a0/

[1] A. N. Kolmogorov, “Über die Analytischen Methoden in der Wahrscheinlichkeitsrechnung”, Mathemat. Ann., 104 (1931), 415–458 ; UMN, 1938, no. 5, 5–41 | DOI | MR | Zbl | MR

[2] M. Kac, “On distribution of certain Wiener functionals”, Trans. Amer. Math. Soc., 65:1 (1949), 1–13 | DOI | MR | Zbl

[3] M. Kac, “On some connections between probability theory and differential and integral equations”, Proc. Second Berkley Symp. Math. Stat. Probab., 1951, 189–215 | MR | Zbl

[4] Khasminskii R. Z., “Raspredelenie veroyatnostei dlya funktsionalov ot traektorii sluchainogo protsessa diffuzionnogo tipa”, Dokl. Akad. Nauk SSSR, 104:1 (1955), 22–25

[5] A. N. Borodin, I. A. Ibragimov, Predelnye teoremy dlya sluchainykh bluzhdanii, Trudy Matematicheskogo in-ta im. V. A. Steklova RAN, 195, Nauka, S.-Peterburg, 1994 | MR | Zbl

[6] A. N. Borodin, “O raspredelenii funktsionalov ot brounovskogo dvizheniya, ostanovlennogo v moment obratnyi ko vremeni prebyvaniya”, Zapiski nauchnykh seminarov POMI, 228, 1996, 39–56 | MR | Zbl

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