Contents: Complex White Noise and the Infinite Dimensional Unitary Group (T Hida); Complex Itô Formulas (M Redfern); White Noise Analysis: Background and a Recent Application (J Becnel & A N Sengupta); Probability Measures with Sub-Additive Principal Szegö Jacobi Parameters (A Stan); Donsker's Functional Calculus and Related Questions (P-L Chow & J Potthoff); Stochastic Analysis of Tidal Dynamics Equation (U Manna et al.); Adapted Solutions to the Backward Stochastic Navier Stokes Equations in 3D (P Sundar & H Yin); Spaces of Test and Generalized Functions of Arcsine White Noise Formulas (A Barhoumi et al.); An Infinite Dimensional Fourier Mehler Transform and the Lévy Laplacian (K Saito & K Sakabe); The Heat Operator in Infinite Dimensions (B C Hall); Quantum Stochastic Dilation of Symmetric Covariant Completely Positive Semigroups with Unbounded Generator (D Goswami & K B Sinha); White Noise Analysis in the Theory of Three-Manifold Quantum Invariants (A Hahn); A New Explicit Formula for the Solution of the Black Merton Scholes Equation (J A Goldstein et al.); Volatility Models of the Yield Curve (V Goodman).
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Book Description
This volume contains current work at the frontiers of research in infinite dimensional stochastic analysis. It presents a carefully chosen collection of articles by experts to highlight the latest developments in white noise theory, infinite dimensional transforms, quantum probability, stochastic partial differential equations, and applications to mathematical finance. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians.
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quantum invariants, adapted solutions, torus gauge fixing, tide equation, covariant map, smooth covariant, complex white noise, hidden subspace, white noise analysis, infinite dimensional unitary group, having finite moments, white noise space, rigorous realization, chaos decomposition, arcsine distribution, white noise functionals, heat operator, generalized random variables, wick product, chaos expansion, generalized stochastic process, white noise measure, tidal dynamics, heat semigroup, white noise theory Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Lévy Laplacian, Donsker's Functional Calculus, Stochastic Analysis of Tidal Dynamics, Backward Stochastic Navier-Stokes, Recent Application, Lecture Notes, Quantum Probab, World Scientific, Complex Itô Formulas, Sub-Additive Szegö-Jacobi Parameters, Probability Measures, Japan Acad, Boca Raton, Professor Kuo, Kuo's Fourier-Mehler, Volatility Models of the Yield Curve, Acta Appl, Quantum Stochastic Dilation, White Noise Distribution Theory Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
quantum invariants, adapted solutions, torus gauge fixing, tide equation, covariant map, smooth covariant, complex white noise, hidden subspace, white noise analysis, infinite dimensional unitary group, having finite moments, white noise space, rigorous realization, chaos decomposition, arcsine distribution, white noise functionals, heat operator, generalized random variables, wick product, chaos expansion, generalized stochastic process, white noise measure, tidal dynamics, heat semigroup, white noise theory Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Lévy Laplacian, Donsker's Functional Calculus, Stochastic Analysis of Tidal Dynamics, Backward Stochastic Navier-Stokes, Recent Application, Lecture Notes, Quantum Probab, World Scientific, Complex Itô Formulas, Sub-Additive Szegö-Jacobi Parameters, Probability Measures, Japan Acad, Boca Raton, Professor Kuo, Kuo's Fourier-Mehler, Volatility Models of the Yield Curve, Acta Appl, Quantum Stochastic Dilation, White Noise Distribution Theory Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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