Background
Bell, Denis R. was born on November 12, 1954 in London. Son of Philip and Phyllis (Weinstock) Bell.
( This introduction to Malliavin's stochastic calculus of...)
This introduction to Malliavin's stochastic calculus of variations is suitable for graduate students and professional mathematicians. Author Denis R. Bell particularly emphasizes the problem that motivated the subject's development, with detailed accounts of the different forms of the theory developed by Stroock and Bismut, discussions of the relationship between these two approaches, and descriptions of a variety of applications. The first chapter covers enough technical background to make the subsequent material accessible to readers without specialized knowledge of stochastic analysis. Succeeding chapters examine the functional analytic and variational approaches (with extensive explorations of the work of Stroock and Bismut); and elementary derivation of Malliavin's inequalities and a discussion of the different forms of the theory; and the non-degeneracy of the covariance matrix under Hormander's condition. The text concludes with a brief survey of applications of the Malliavin calculus to problems other than Hormander's.
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Bell, Denis R. was born on November 12, 1954 in London. Son of Philip and Phyllis (Weinstock) Bell.
Bachelor of Science in Mathematics, U. Manchester, United Kingdom, 1976; Master of Science in Mathematics Statistics, U. Manchester, United Kingdom, 1977; Doctor of Philosophy in Mathematics, U. Warwick, Coventry, United Kingdom, 1982.
Lecturer, Hull U., United Kingdom, 1979-1980; instructor, University Texas, Austin, 1981-1984; assistant professor, Suffolk U., Boston, 1984-1988; associate professor, U. N. Florida, Jacksonville, 1988-1996; professor, U. N. Florida, Jacksonville, since 1996. Visiting instructor Southern Illinois U., Carbondale, 1980-1981. Research professor MSRI, since 1997.
( This introduction to Malliavin's stochastic calculus of...)
Married Cynthia R. Burchfield, November 27, 1982. Children: Justin, Madison.