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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 260, Pages 31–49
(Mi znsl1064)
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This article is cited in 3 scientific papers (total in 3 papers)
Smooth diffusion measures and their transformations
Ya. I. Belopol'skaya St. Petersburg State University of Architecture and Civil Engineering
Abstract:
We study absolutely continuous transformations of smooth diffusion measures and describe the generalized Darboux transformation. Besides we reveal the connections between some quasilinear classical equations like Burgers or Riccati equations and their generalizations with equations which govern logarithmic derivatives of smooth diffusion measures. The results derived here combined with the ground state representation could be applied to compute functional integrals.
Received: 20.09.1999
Citation:
Ya. I. Belopol'skaya, “Smooth diffusion measures and their transformations”, Probability and statistics. Part 3, Zap. Nauchn. Sem. POMI, 260, POMI, St. Petersburg, 1999, 31–49; J. Math. Sci. (New York), 109:6 (2002), 2047–2060
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https://www.mathnet.ru/eng/znsl1064 https://www.mathnet.ru/eng/znsl/v260/p31
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Abstract page: | 168 | Full-text PDF : | 74 |
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