Seminar on Stochastic Analysis, Random Fields and Applications V - Centro Stefano Franscini, Ascona, May 2005

von: Robert C. Dalang, Marco Dozzi, Francesco Russo

Birkhäuser Basel, 2008

ISBN: 9783764384586 , 519 Seiten

Format: PDF, OL

Kopierschutz: Wasserzeichen

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Seminar on Stochastic Analysis, Random Fields and Applications V - Centro Stefano Franscini, Ascona, May 2005


 

Table of Contents

5

Preface

8

List of Participants

10

Stochastic Analysis and Random Fields

13

Detection of Dynamical Systems from Noisy Multivariate Time Series

14

A Bakry-Emery Criterion for Self-Interacting Diffusions

29

Stationary Solutions for the 2D Stochastic Dissipative Euler Equation

33

Volterra Equations Perturbed by a Gaussian Noise

47

Dirichlet Forms Methods: An Application to the Propagation of the Error Due to the Euler Scheme

66

A Note on Evolution Systems of Measures for Time-Dependent Stochastic Differential Equations

123

Remarks on 3D Stochastic Navier-Stokes Equations

131

Slices of a Brownian Sheet: New Results and Open Problems

143

An Estimate of the Convergence Rate in Diffusion Approximation of a Particle Motion under Random Forcing

183

Long-Time Behaviour for the Brownian Heat Kernel on a Compact Riemannian Manifold and Bismut’s Integration-by-Parts Formula

205

Probabilistic Deformation of Contact Geometry, Diffusion Processes and Their Quadratures

210

Approximation of Stochastic Di.erential Equations Driven by Fractional Brownian Motion

234

Critical Exponents for Semilinear PDEs with Bounded Potentials

249

Generalized Ornstein–Uhlenbeck Processes on Separable Banach Spaces

266

Approximation of Rough Paths of Fractional Brownian Motion

280

A One-Dimensional Analysis of Singularities and Turbulence for the Stochastic Burgers

309

A One-Dimensional Analysis of Singularities and Turbulence for the Stochastic Burgers Equation in d Dimensions

309

Attractors for Ergodic and Monotone Random Dynamical Systems

335

On the Stability of Feynman-Kac Propagators

349

Some Applications of the Malliavin Calculus to Sub- Gaussian and Non-Sub-Gaussian Random Fields

367

Nonlinear Markovian Problems in Large Dimensions

400

Stochastic Methods in Financial Models

412

A Tychastic Approach to Guaranteed Pricing and Management of Portfolios under Transaction Constraints

413

Numerical Aspects of Loan Portfolio Optimization

436

An Orlicz Spaces Duality for Utility Maximization in Incomplete Markets

446

No Free Lunch under Transaction Costs for Continuous Processes

457

Robustness of the Hobson–Rogers Model with Respect to the Offset Function

468

PDE Approach to Utility Maximization for Market Models with Hidden Markov Factors

492

Generalizations of Merton’s Mutual Fund Theorem in Infinite- Dimensional Financial Models

506