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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2006 Volume 339, Pages 15–36 (Mi znsl155)

This article is cited in 7 papers

Distributions of functionals of diffusions with jumps

A. N. Borodin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: The paper deals with the generalization of diffusion with jumps. One of the main points is that the values of jumps depend on the position of the diffusion before the jump. The next generalization concerns the moments of jumps. They occur in accordance with the compound Poisson process or with the jumping moments constructed by the inverse integral functionals of the diffusion.

UDC: 519.21

Received: 07.11.2006


 English version:
Journal of Mathematical Sciences (New York), 2007, 145:2, 4843–4855

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