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Proceedings of the International Conference on Stochastic Analysis and Applications: Hammamet, 2001 /
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Catalogue Information
Field name
Details
Dewey Class
519.2
Title
Proceedings of the International Conference on Stochastic Analysis and Applications ([EBook] :) : Hammamet, 2001 / / edited by Sergio Albeverio, Anne Boutet de Monvel, Habib Ouerdiane.
Added Personal Name
Albeverio, Sergio
editor.
Monvel, Anne Boutet de
editor.
Ouerdiane, Habib
editor.
Other name(s)
SpringerLink (Online service)
Publication
Dordrecht : : Springer Netherlands : : Imprint: Springer, , 2004.
Physical Details
X, 350 p. : online resource.
ISBN
9781402024689
Summary Note
Stochastic analysis is a field of mathematical research having numerous interactions with other domains of mathematics such as partial differential equations, riemannian path spaces, dynamical systems, optimization. It also has many links with applications in engineering, finance, quantum physics, and other fields. This book covers recent and diverse aspects of stochastic and infinite-dimensional analysis. The included papers are written from a variety of standpoints (white noise analysis, Malliavin calculus, quantum stochastic calculus) by the contributors, and provide a broad coverage of the subject. This volume will be useful to graduate students and research mathematicians wishing to get acquainted with recent developments in the field of stochastic analysis.:
Contents note
Mathematical aspects of decoherence induced classicality in quantum systems -- Hankel operators on Segal-Bargmann spaces -- Malliavin calculus and real Bott periodicity -- Heat equation associated with Lévy laplacian -- Zeta-regularized traces versus the Wodzicki residue as tools in quantum field theory and infinite dimensional geometry -- Quantum stochastic calculus applied to path spaces over Lie groups -- Martingale approximation for self-intersection local time of brownian motion -- Itô formula for generalized functionals of brownian bridge -- Fock space operator valued martingale convergence -- Stochastic integration for compensated Poisson measures and the Lévy-Itô formula -- Exponential ergodicity of classical and quantum Markov birth and death semigroups -- Asymptotic flux across hypersurfaces for diffusion processes -- Reflected backward stochastic differential equation with superlinear growth -- Semidynamical systems with the same order relation -- Infinite-dimensional Lagrange problem and application to stochastic processes -- On portfolio separation in the Merton problem with bankruptcy or default -- Square of white noise unitary evolutions on boson Fock space -- Numerical solution of Wick stochastic differential equations.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4020-2468-9
Links to Related Works
Subject References:
Functional Analysis
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Mathematics
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Measure and Integration
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Measure theory
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Operator Theory
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Partial differential equations
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Probabilities
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Probability theory and stochastic processes
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Authors:
Albeverio, Sergio
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Monvel, Anne Boutet de
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Ouerdiane, Habib
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Corporate Authors:
SpringerLink (Online service)
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Classification:
519.2
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