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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2012 Volume 408, Pages 74–83 (Mi znsl5493)

Distributions of integral functionals of bridges of Gaussian diffusions

A. N. Borodinab

a St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia

Abstract: The paper deals with an original approach to derivation of parabolic equation for the Laplace transform of the distributions of integral functional of bridge of Gaussian diffusion.

Key words and phrases: bridge of Gaussian diffusion, distribution, integral functional.

UDC: 519.2

Received: 05.10.2012


 English version:
Journal of Mathematical Sciences (New York), 2014, 199:2, 107–112

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