Mathematical Physics And Stochastic Analysis: Essays In Honour Of Ludwig Streit

Essays in Honour of Ludwig Streit

Sergio Albeverio, P Blanchard, L S Ferreira

• Publisher: World Scientific
• Year: 2000
• Print ISBN: 9789810244408, 9789810244408
• eBook ISBN: 9789812792167
• Topic: Physical Sciences
• Subtopic: Mathematical & Computational Physics

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.List of Contributors: S Albeverio, T Hida, L Accardi, I Ya Aref'eva, I V Volovich; A Daletskii, Y Kondratiev, W Karwowski, N Asai, I Kubo, H-H Kuo, J Beckers, Ph Blanchard, G F Dell'Antonio, D Gandolfo, M Sirugue-Collin, A Bohm, H Kaldass, D Bollé, G Jongen, G M Shim, J Bornales, C C Bernido, M V Carpio-Bernido, G Burdet, Ph Combe, H Nencka, P Cartier, C DeWitt-Morette, H Ezawa, K Nakamura, K Watanabe, Y Yamanaka, R Figari, F Gesztesy, H Holden, R Gielerak, G A Goldin, Z Haba, M-O Hongler, Y Hu, B Oksendal, A Sulem, J R Klauder, C B Lang, V I Man'ko, H Ouerdiane, J Potthoff, E Smajlovic, M Röckner, E Scacciatelli, J L Silva, J Stochel, F H Szafraniec, L Vázquez, D N Kozakevich, S Jiménez, V R Vieira, P D Sacramento, R Vilela Mendes, D Volný, P Samek.

Table of contents

• Contents
• Preface
• Ludwig Streit's list of publications
• SOME THEMES OF THE SCIENTIFIC WORK OF LUDWIG STREIT
• MATHEMATICS, PHYSICS AND STREIT SINCE 1975
• STOCHASTIC LIMIT AND INTERACTING COMMUTATION RELATIONS
• DE RHAM COMPLEX OVER PRODUCT MANIFOLDS: DIRICHLET FORMS AND STOCHASTIC DYNAMICS
• REAL TIME RANDOM WALKS ON P-ADIC NUMBERS
• CHARACTERIZATION OF TEST FUNCTIONS IN CKS-SPACE
• NONLINEAR LIE ALGEBRAS IN QUANTUM PHYSICS AND THEIR INTEREST IN QUANTUM FIELD THEORY
• CONTINUOUS PERCOLATION: TREE APPROXIMATION AND MOST PROBABLE CLUSTERS
• RIGGED HILBERT SPACE RESONANCES AND TIME ASYMMETRIC QUANTUM MECHANICS
• Q-ISING NEURAL NETWORK DYNAMICS : A COMPARATIVE REVIEW OF VARIOUS ARCHITECTURES
• THE RELATIVISTIC AHARONOV-BOHM-COULOMB PROBLEM: A PATH INTEGRAL SOLUTION
• STATISTICAL MANIFOLDS: THE NATURAL AFFINE-METRIC STRUCTURE OF PROBABILITY THEORY
• BRYDGES' OPERATOR IN RENORMALIZATION THEORY
• FLUCTUATION OF THE BOSE-EINSTEIN CONDENSATE IN A TRAP
• TIME DEPENDENT AND NONLINEAR POINT INTERACTIONS
• THE COLE-HOPF AND MIURA TRANSFORMATIONS REVISITED
• SOME MODELS OF NONIDEAL BOSE GAS WITH BOSE-EINSTEIN CONDENSATE
• CONFIGURATION SPACES FOR SELF-SIMILAR RANDOM PROCESSES, AND MEASURES QUASI-INVARIANT UNDER DIFFEOMORPHISM GROUPS
• STOCHASTIC PROCESSES AND THE FEYNMAN INTEGRAL
• NON-MARKOVIAN RANDOM FLOWS AND HEDGING STOCKS IN MANUFACTURING PROCESSES
• OPTIMAL PORTFOLIO IN A FRACTIONAL BLACK & SCHOLES MARKET
• NONRENORMALIZABILITY AND NONTRIVIALITY
• ON THE SPECTRUM OF LATTICE DIRAC OPERATORS
• INTEGRALS OF MOTION AND QUANTUM FLUCTUATIONS
• DISTRIBUTIONS GAUSSIENNES ET APPLICATIONS AUX EQUATIONS AUX DERIVEES PARTIELLES STOCHASTIQUES
• ON DONSKER'S DELTA FUNCTION IN WHITE NOISE ANALYSIS
• L1-UNIQUENESS ON MEASURABLE STATE SPACES: A CLASS OF EXAMPLES
• A GLAUBER DYNAMICS FOR THE SHERRINGTON-KIRKPATRICK AND HOPFIELD MODELS
• EXTERNAL AND INTERNAL GEOMETRY ON CONFIGURATION SPACES
• CIRCULAR INVARIANCE OF THE WEYL FORM OF THE CANONICAL COMMUTATION RELATION
• NUMERICAL SOLUTION OF THE NONLINEAR SCHRODINGER EQUATION WITH NEWTON-TYPE METHODS
• SPINOR DESCRIPTION OF A GENERAL SPIN-J SYSTEM
• GLUON CONDENSATE AND A VACUUM STRUCTURE FOR NONABELIAN GAUGE THEORY
• ON THE INVARIANCE PRINCIPLE AND THE LAW OF ITERATED LOGARITHM FOR STATIONARY PROCESSES