rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Stochastic Analysis and Applications
    sub title: The Abel Symposium 2005
  title info:
    title: Proceedings of the Second Abel Symposium, Oslo, July 29 - August 4, 2005, held in honor of Kiyosi Itô
  name:
    name part: Benth, Fred Espen.
    role:
      role term: editor.
  name:
    name part: Nunno, Giulia Di.
    role:
      role term: editor.
  name:
    name part: Lindstrøm, Tom.
    role:
      role term: editor.
  name:
    name part: Øksendal, Bernt.
    role:
      role term: editor.
  name:
    name part: Zhang, Tusheng.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 678 p. online resource.
  abstract: 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.
  table of contents: 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 D…
  note: edited by Fred Espen Benth, Giulia Di Nunno, Tom Lindstrøm, Bernt Øksendal, Tusheng Zhang.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Functions of real variables
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Economics, Mathematical
  subject:
    topic: Probabilities
  subject:
    topic: Statistics
  subject:
    topic: Mathematics
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Applications of Mathematics
  subject:
    topic: Real Functions
  subject:
    topic: Analysis
  subject:
    topic: Statistical Theory and Methods
  subject:
    topic: Quantitative Finance
  classification: QA273.A1-274.9
  classification: QA274-274.9
  classification: 519.2
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Abel Symposia ; 2
  identifier: 9783540708476
  identifier: http://dx.doi.org/10.1007/978-3-540-70847-6
  record info:
    record creation date: 100301
    record change date: 20151204174320.0
    record identifier: 978-3-540-70847-6