Non-Commutativity, Infinite Dimensionality and Probability at the Crossroads Proceedings of the Rims Workshop on Infinite-Dimensional Analysis and Quantum Probability, Kyoto, Japan, 20-22 November 2001

Infinite-dimensional analysis and quantum probability have undergone significant developments in the last few years and created many applications. The fourteen research papers deal with most of the current topics, and their interconnections reflect a vivid development in interacting Fock space, infinite-dimensional groups, stochastic independence, non-commutative central limit theorems, stochastic geometry, and so on. Contents: Mathematical Theory of Quantum Particles Interacting with a Quantum Field (A Arai); H-P Quantum Stochastic Differential Equations (F Fagnola); Quantum White Noise Calculus (U C Ji & N Obata); Can "Quantumness" Be an Origin of Dissipation? (T Arimitsu); What Is Stochastic Independence? (U Franz); Creation-Annihilation Processes on Cellar Complecies (Y Hashimoto); Fock Space and Representation of Some Infinite-Dimensional Groups (T Matsui & Y Shimada); Free Product Actions and Their Applications (Y Ueda); Remarks on the s-Free Convolution (H Yoshida); and other papers. Readership: Researchers and graduate students in analysis & differential equations, probability & statistics, mathematical physics and quantum physics.Obata, Nobuaki is the author of 'Non-Commutativity, Infinite Dimensionality and Probability at the Crossroads Proceedings of the Rims Workshop on Infinite-Dimensional Analysis and Quantum Probability, Kyoto, Japan, 20-22 November 2001' with ISBN 9789812382979 and ISBN 9812382976.