Non-Commutativity, Infinite Dimensionality and Probability at the Crossroads: Proceedings of the Rims Workshop on Infinite-Dimensional Analysis and ... Quantum Probability & White Noise Analysis)

Infinite-dimensional analysis and quantum probability have undergone significant developments at the beginning of the new millennium and created many applications. This volume includes four expository articles on recent developments in quantum field theory, quantum stochastic differential equations, free probability and quantum white noise calculus, which are targeted also for graduate study. The 14 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.