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Abel Symposia #2: Stochastic Analysis and Applications: The Abel Symposium 2005

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Synopses & Reviews

Publisher Comments:

Kiyosi Ito, the founder of stochastic calculus, is one of the few central figures of the twentieth century mathematics who reshaped the mathematical world. Today stochastic calculus is a central research field with applications in several other mathematical disciplines, for example physics, engineering, biology, economics and finance. The Abel Symposium 2005 was organized as a tribute to the work of Kiyosi Ito on the occasion of his 90th birthday. Distinguished researchers from all over the world were invited to present the newest developments within the exciting and fast growing field of stochastic analysis. The present volume combines both papers from the invited speakers and contributions by the presenting lecturers. A special feature is the Memoirs that Kiyoshi Ito wrote for this occasion. These are valuable pages for both young and established researchers in the field.

Synopsis:

The Abel Symposium 2005 was organized as a tribute to the work of Kiyosi Ito on the occasion of his 90th birthday. Distinguished researchers from all over presented the newest developments within the exciting and fast growing field of stochastic analysis. This volume combines both papers from the invited speakers and contributions by the presenting lecturers. In addition, it includes the Memoirs that Kiyoshi Ito wrote for this occasion.

About the Author

Information on the volume editors: All the Editors are working in stochastic analysis. Bernt Øksendal received the Nansen Prize in 1996 and was elected member of the Norwegian Academy of Science and Letters in 1996.

Table of Contents

Memoirs of My Research on Stochastic Analysis by K.Ito.- Ito calculus and quantum white noise calculus by L. Accardi, A. Boukas.- Homogenization of diffusions on the lattice Zd with periodic drift coefficients, applying a logarithmic Sobolev inequality or a weak Poincare inequality by S. Albeverio, M. S. Bernabei, M. Röckner, M. W. Yoshida.- Theory and applications of infinite dimensional oscillatory integrals by S. Albeverio, S. Mazzucchi.- Ambit processes with applications to turbulence and tumour growth by O. E. Barndorff-Nielsen, J. Schmiegel.- A stochastic control approach to a robust utility maximization problem by G. Bordigoni, A. Matoussi, M. Schweizer.- Extending Markov Processes in Weak Duality by Poisson Point Processes of Excursions by Zhen-Qing Chen, M. Fukushima, J. Ying.- Hedging with options in models with jumps by R. Cont, P. Tankov, E. Voltchkova.- Power variation analysis of some integral long-memory processes by J. M. Corcuera.- Kolmogorov equations for stochastic PDE's with multiplicative noise by G. Da Prato.- Stochastic Integrals and Adjoint Derivatives by G. Di Nunno, Yu.A. Rozanov.- An application of probability to nonlinear analysis by E.B. Dynkin.- The space of stochastic differential equations by K.D. Elworthy.- Extremes of supOU processes by V. Fasen, C. Klüppelberg.- Gaussian bridges by D. Gasbarra, T. Sottinen, E. Valkeila.- Some of the recent topics on stochastic analysis by T. Hida.- Differential equations driven by Hölder continuous functions of order greater than ½ by Y. Hu, D. Nualart.- On asymptotics of Banach space-valued Ito functionals of Brownian rough paths by Y. Inahama, H. Kawabi.- Continuous-Time Markowitz's Problems in an Incomplete Market, with No-Shorting Portfolios by H. Jin, Xun Yu Zhou.- Quantum and Classical Conserved Quantities: Martingales, Conservation Laws and Constants of Motion by T. Kolsrud.- Different Lattice Approximations for Hoegh-Krohn's quantum field model by S. Liang.- Ito Atlas, its application to mathematical finance and to exponentiation of infinite dimensional Lie algebras by P. Malliavin.- The Invariant Distribution of a Diffusion: Some New Aspects by H.P. McKean.- Formation of singularities in Madelung fluid: a nonconventional application of Ito calculus to foundations of Quantum Mechanics by L.M. Morato.- G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Ito Type by S. Peng.- Perpetual integral functionals of diffusions and their numerical computations by P. Salminen, O. Wallin.- Chaos expansions and Malliavin calculus for Levy processes by J. Lluis Sole, Frederic Utzet, Josep Vives.- Study of Simple but Challenging Diffusion Equation by D.W. Stroock.- Ito Calculus and Malliavin Calculus by S. Watanabe.- The Malliavin calculus for processes with conditionally independent increments by A.L. Yablonski

Product Details

ISBN:
9783540708469
Author:
Øksendal, Bernt
Publisher:
Springer
Other:
Benth, Fred Espen
Editor:
Benth, Fred Espen
Editor:
Di Nunno, Giulia
Editor:
Lindstrom, Tom
Author:
Lindstrom, Tom
Author:
Giulia Di Nunno
Author:
Nunno, Giulia
Author:
Benth, Fred Espen
Author:
Zhang, Tusheng
Author:
ksendal, Bernt
Author:
Di Nunno, Giulia
Subject:
Mathematical Analysis
Subject:
Mathematical Physics
Subject:
Probability & Statistics - General
Subject:
Statistics
Subject:
Mathematical finance
Subject:
Stochastic analysis
Subject:
stochastic calclulus
Subject:
white noise analysis
Subject:
Probability Theory and Stochastic Processes
Subject:
Analysis
Subject:
Statistical Theory and Methods
Subject:
Quantitative Finance
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Appl.Mathematics/Computational Methods of Engineering
Subject:
Appl.Mathematics/Computational Methods of Engineering <P>Kiyosi Ito, the founder of stochastic calculus, is one of the few central figures of the twentieth century mathematics who reshaped the mathematical world. Today stochastic calculus is a central res
Subject:
Mathematics | Probability and Statistics
Copyright:
Edition Description:
Book
Series:
Abel Symposia
Series Volume:
02
Publication Date:
20070627
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
690
Dimensions:
235 x 155 mm

Related Subjects

Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Probability Theory
Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Science and Mathematics » Physics » Math

Abel Symposia #2: Stochastic Analysis and Applications: The Abel Symposium 2005 New Hardcover
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Product details 690 pages Springer - English 9783540708469 Reviews:
"Synopsis" by , The Abel Symposium 2005 was organized as a tribute to the work of Kiyosi Ito on the occasion of his 90th birthday. Distinguished researchers from all over presented the newest developments within the exciting and fast growing field of stochastic analysis. This volume combines both papers from the invited speakers and contributions by the presenting lecturers. In addition, it includes the Memoirs that Kiyoshi Ito wrote for this occasion.
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