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Mathematical physics and stochastic analysis : essays in honour of Ludwig Streit / editors, S. Albeverio [and others].

Contributor(s): Albeverio, Sergio | Streit, Ludwig, 1938-Material type: TextTextPublication details: Singapore ; New Jersey : World Scientific, ©2000. Description: 1 online resource (xxiv, 438 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9789812792167; 9812792163Subject(s): Streit, Ludwig, 1938- | Streit, Ludwig, 1938- | Streit, Ludwig, 1938- | Stochastic analysis -- Congresses | Mathematical physics -- Congresses | SCIENCE -- Physics -- Mathematical & Computational | Mathematical physics | Stochastic analysis | Mathematische fysica | Stochastische analyseGenre/Form: Conference papers and proceedings. | Electronic books. | Electronic books. Additional physical formats: Print version:: Mathematical physics and stochastic analysis.DDC classification: 530.15/92 LOC classification: QC20.7.S8 | M38 2000ebOther classification: 31.81 Online resources: Click here to access online
Contents:
Ludwig Streit's list of publications -- Some themes of the scientific work of Ludwig Streit / S. Albeverio -- Mathematics, physics and Streit since 1975 / T. Hida -- Stochastic limit and interacting commutation relations / L. Accardi, I. Ya. Aref'eva and I.V. Volovich -- De Rham complex over product manifolds: Dirichlet forms and stochastic dynamics / S. Albeverio, A. Daletskii and Y. Kondratiev -- Real time random walks on p-adic numbers / S. Albeverio and W. Karwowski -- Characterization of test functions in CKS-space / N. Asai, I. Kubo and H.-H. Kuo -- Nonlinear Lie algebras in quantum physics and their interest in quantum field theory / J. Beckers -- Continuous percolation: tree approximation and most probable clusters / Ph. Blanchard [and others] -- Rigged Hilbert space resonances and time asymmetric quantum mechanics / A. Bohm and H. Kaldass -- Q-Ising neural network dynamics: A comparative review of various architectures / D. Bolle, G. Jongen and G.M. Shim -- The relativistic Aharonov-Bohm-Coulomb problem: a path integral solution / J. Bornales, C.C. Bernido and M.V. Carpio-Bemido -- Statistical manifolds: the natural affine-metric structure of probability theory / G. Burdet, Ph. Combe and H. Nencka -- Brydges' operator in renormalization theory / P. Cartier and C. DeWitt-Morette -- Fluctuation of the Bose-Einstein condensate in a trap / H. Ezawa [and others] -- Time dependent and nonlinear point interactions / R. Figari -- The Cole-Hopf and Miura transformations revisited / F. Gesztesy and H. Holden -- Some models of nonideal Bose gas with Bose-Einstein condensate / R. Gielerak.
Configuration spaces for self-similar random processes and measures quasi-invariant under diffeomorphism groups / G.A. Goldin -- Stochastic processes and the Feynman integral / Z. Haba -- Non-Markovian random flows and hedging stocks in manufacturing processes / M.-O. Hongler -- Optimal portfolio in a fractional Black and Scholes market / Y. Hu, B. Oksendal and A. Sulem -- Nonrenormalizability and nontriviality / J.R. Klauder -- On the spectrum of lattice Dirac operators / C.B. Lang -- Integrals of motion and quantum fluctuations / V.I. Man'ko -- Distributions Gaussiennes et applications aux equations aux derivees partielles stochastiques / H. Ouerdiane -- On Donsker's delta function in white noise analysis / J. Potthoff and E. Smajlovic -- [symbol]uniqueness on measurable state spaces: a class of examples / M. Rockner -- A Glauber dynamics for the Sherrington-Kirkpatrick and Hopneld models / E. Scacciatelli -- External and internal geometry on configuration spaces / J.L. Silva -- Circular invariance of the Weyl form of the canonical commutation relation / J. Stochel and F.H. Szafraniec -- Numerical solution of the nonlinear Schrodinger equation with Newton-type methods / L. Vazquez, D.N. Kozakevich and S. Jimenez -- Spinor description of a general spin-J system / V.R. Vieira and P.D. Sacramento -- Gluon condensate and a vacuum structure for nonabelian gauge theory / R. Vilela Mendes -- On the invariance principle and the law of iterated logarithm forstationary processes / D. Volny and P. Samek.
Summary: "In October 1998 a conference was held in Lisbon to celebrate Ludwig Streit's 60th birthday. This book collects some of the papers presented at the conference as well as other essays contributed by the many friends and collaborators who wanted to honor Ludwig Streit's scientific career and personality. The contributions cover many aspects of contemporary mathematical physics. Of particular importance are new results on infinite-dimensional stochastic analysis and its applications to a wide range of physical domains."
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Includes bibliographical references.

Print version record.

Ludwig Streit's list of publications -- Some themes of the scientific work of Ludwig Streit / S. Albeverio -- Mathematics, physics and Streit since 1975 / T. Hida -- Stochastic limit and interacting commutation relations / L. Accardi, I. Ya. Aref'eva and I.V. Volovich -- De Rham complex over product manifolds: Dirichlet forms and stochastic dynamics / S. Albeverio, A. Daletskii and Y. Kondratiev -- Real time random walks on p-adic numbers / S. Albeverio and W. Karwowski -- Characterization of test functions in CKS-space / N. Asai, I. Kubo and H.-H. Kuo -- Nonlinear Lie algebras in quantum physics and their interest in quantum field theory / J. Beckers -- Continuous percolation: tree approximation and most probable clusters / Ph. Blanchard [and others] -- Rigged Hilbert space resonances and time asymmetric quantum mechanics / A. Bohm and H. Kaldass -- Q-Ising neural network dynamics: A comparative review of various architectures / D. Bolle, G. Jongen and G.M. Shim -- The relativistic Aharonov-Bohm-Coulomb problem: a path integral solution / J. Bornales, C.C. Bernido and M.V. Carpio-Bemido -- Statistical manifolds: the natural affine-metric structure of probability theory / G. Burdet, Ph. Combe and H. Nencka -- Brydges' operator in renormalization theory / P. Cartier and C. DeWitt-Morette -- Fluctuation of the Bose-Einstein condensate in a trap / H. Ezawa [and others] -- Time dependent and nonlinear point interactions / R. Figari -- The Cole-Hopf and Miura transformations revisited / F. Gesztesy and H. Holden -- Some models of nonideal Bose gas with Bose-Einstein condensate / R. Gielerak.

Configuration spaces for self-similar random processes and measures quasi-invariant under diffeomorphism groups / G.A. Goldin -- Stochastic processes and the Feynman integral / Z. Haba -- Non-Markovian random flows and hedging stocks in manufacturing processes / M.-O. Hongler -- Optimal portfolio in a fractional Black and Scholes market / Y. Hu, B. Oksendal and A. Sulem -- Nonrenormalizability and nontriviality / J.R. Klauder -- On the spectrum of lattice Dirac operators / C.B. Lang -- Integrals of motion and quantum fluctuations / V.I. Man'ko -- Distributions Gaussiennes et applications aux equations aux derivees partielles stochastiques / H. Ouerdiane -- On Donsker's delta function in white noise analysis / J. Potthoff and E. Smajlovic -- [symbol]uniqueness on measurable state spaces: a class of examples / M. Rockner -- A Glauber dynamics for the Sherrington-Kirkpatrick and Hopneld models / E. Scacciatelli -- External and internal geometry on configuration spaces / J.L. Silva -- Circular invariance of the Weyl form of the canonical commutation relation / J. Stochel and F.H. Szafraniec -- Numerical solution of the nonlinear Schrodinger equation with Newton-type methods / L. Vazquez, D.N. Kozakevich and S. Jimenez -- Spinor description of a general spin-J system / V.R. Vieira and P.D. Sacramento -- Gluon condensate and a vacuum structure for nonabelian gauge theory / R. Vilela Mendes -- On the invariance principle and the law of iterated logarithm forstationary processes / D. Volny and P. Samek.

"In October 1998 a conference was held in Lisbon to celebrate Ludwig Streit's 60th birthday. This book collects some of the papers presented at the conference as well as other essays contributed by the many friends and collaborators who wanted to honor Ludwig Streit's scientific career and personality. The contributions cover many aspects of contemporary mathematical physics. Of particular importance are new results on infinite-dimensional stochastic analysis and its applications to a wide range of physical domains."

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