Stochastic Analysis and Applications : The Abel Symposium 2005 Proceedings of the Second Abel Symposium, Oslo,July 29 - August 4, 2005, held in honor of Kiyosi Itô

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, engineer...

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Auteurs principaux : Benth Fred Espen (Directeur de publication), Di Nunno Giulia (Directeur de publication), Lindstrøm Tom Louis (Directeur de publication), Zhang Tusheng (Directeur de publication), Abel Symposium
Collectivité auteur : Abel Symposium 2 2005 Oslo (Auteur)
Format : Livre
Langue : anglais
Titre complet : Stochastic Analysis and Applications : The Abel Symposium 2005 : Proceedings of the Second Abel Symposium, Oslo,July 29 - August 4, 2005, held in honor of Kiyosi Itô / Fred Espen Benth, Giulia di Nunno, Tom Lindstrøm,... [et al.], Editors
Édition : 1st ed. 2007.
Publié : Berlin, Heidelberg : Springer Berlin Heidelberg , [20..]
Cham : Springer Nature
Collection : Abel symposia (Internet) ; 2
Accès en ligne : Accès Nantes Université
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Condition d'utilisation et de reproduction : Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017
Titre conventionnel : Mélanges. Itô. Kiyosi
Contenu : Memoirs of My Research on Stochastic Analysis. Itô Calculus and Quantum White Noise Calculus. Homogenization of Diffusions on the Lattice Zd with Periodic Drift Coefficients, Applying a Logarithmic Sobolev Inequality or a Weak Poincaré Inequality. Theory and Applications of Infinite Dimensional Oscillatory Integrals. Ambit Processes; with Applications to Turbulence and Tumour Growth. A Stochastic Control Approach to a Robust Utility Maximization Problem. Extending Markov Processes in Weak Duality by Poisson Point Processes of Excursions. Hedging with Options in Models with Jumps. Power Variation Analysis of Some Integral Long-Memory Processes. Kolmogorov Equations for Stochastic PDE's with Multiplicative Noise. Stochastic Integrals and Adjoint Derivatives. An Application of Probability to Nonlinear Analysis. The Space of Stochastic Differential Equations. Extremes of supOU Processes. Gaussian Bridges. Some of the Recent Topics on Stochastic Analysis. Differential Equations Driven by Hölder Continuous Functions of Order Greater than 1/2. On Asymptotics of Banach Space-valued Itô Functionals of Brownian Rough Paths. Continuous-Time Markowitz's Problems in an Incomplete Market, with No-Shorting Portfolios. Quantum and Classical Conserved Quantities: Martingales, Conservation Laws and Constants of Motion. Different Lattice Approximations for Hôegh-Krohn's Quantum Field Model. Itô Atlas, its Application to Mathematical Finance and to Exponentiation of Infinite Dimensional Lie Algebras. The Invariant Distribution of a Diffusion: Some New Aspects. Formation of Singularities in Madelung Fluid: A Nonconventional Application of Itô Calculus to Foundations of Quantum Mechanics. G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Itô Type. Perpetual Integral Functionals of Diffusions and their Numerical Computations. Chaos Expansions and Malliavin Calculus for Lévy Processes. Study of Simple but Challenging Diffusion Equation. Itô Calculus and Malliavin Calculus. The Malliavin Calculus for Processes with Conditionally Independent Increments
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Documents associés : Autre format: Stochastic Analyis and Applications
Autre format: Stochastic Analysis and Applications
Autre format: Stochastic Analysis and Applications
Autre format: Stochastic Analyis and Applications