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On path independence of Girsanov transformation for stochastic differential equations

Feng-yu Wang Orcid Logo, Jiang-lun Wu Orcid Logo

SCIENTIA SINICA Mathematica, Volume: 51, Issue: 11, Pages: 1861 - 16

Swansea University Authors: Feng-yu Wang Orcid Logo, Jiang-lun Wu Orcid Logo

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DOI (Published version): 10.1360/ssm-2020-0287

Abstract

In this paper, we give a survey of results obtained over the past ten years on the path-independence of the Girsanov transformation for stochastic differential equations, which was originated in 1990s from an important market efficiency property in mathematical finance studies. We end up the paper w...

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Published in: SCIENTIA SINICA Mathematica
ISSN: 1674-7216 2095-9427
Published: Beijing Science China Press., Co. Ltd. 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa56016
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Abstract: In this paper, we give a survey of results obtained over the past ten years on the path-independence of the Girsanov transformation for stochastic differential equations, which was originated in 1990s from an important market efficiency property in mathematical finance studies. We end up the paper with a new result characterizing the solution of SDEs using nonlinear PDEs, which is stimulated by a question of Professor Jiaan Yan to the second named author.
Item Description: In Chinese
Keywords: Stochastic differential equations; Girsanov transformation; path-independence; nonlinear parabolic equations.
College: Faculty of Science and Engineering
Issue: 11
Start Page: 1861
End Page: 16