37th International Conference on Quantum Probability and Related Topics (QP37)

Abstract

ForewordThe present volume of Journal of Physics: Conference Series contains the Proceedings of The 37-th International Conference on Quantum Probability and Related Topics (QP37), held in the Faculty of Science of the International Islamic University Malaysia, Kuantan, Malaysia, in August 22-26, 2016.The intrinsic multi-disciplinary character of Quantum Probability is emphasized by its fruitful interaction with different aspects of contemporary mathematics. In addition to the traditional topics of Quantum Probability such as the recently discovered bridge with the classical theory of Orthogonal Polynomials, Quantum Field Theory, Quantum statistical Mechanics, the theory of Quantum Markov semigroups and of Quantum Markov chains and fields, Quantum Stochastic Differential Equations, operator algebras and dynamical systems, the conference has stimulated active communications with the theory of Quadratic operators, both in its classical and quantum aspects, which has a stronghold in the Faculty of Science of International Islamic University Malaysia (Kuantan).The constructive interaction between pure and applied mathematics is another characteristic feature that has accompanied Quantum Probability in its almost fifty years of developments since the early 1970‘s. This is reflected, in the present volume, by a substantial presence of applications to several concrete models, not only of the mathematical techniques developed within Quantum Probability, but also in a multiplicity of other techniques which range from soliton theory, Fourier analysis, the theory of Boundary Value problems, ….The history of the 36 Quantum Probability conferences preceding the present one, illustrated by a collection of 33 proceedings volumes, shows that in several occasions these interactions between apparently far research directions have given rise to fruitful new points of view that have enriched all disciplines involved with new perspectives, new results and new problems.The program of conference included invited lectures (40 minutes) and poster section of more than 80 participants, including invited speakers from India, Italy, Japan, Jordan, Malaysia, The Republic of Korea, Singapore, Taiwan, Tunis, UK, USA and Uzbekistan. We would like to thank the Invited Speakers for their significant contributions to the conference. We would also like to thank the members of the International Scientific Committee and the members of the Organizing Committee. We cannot end without expressing our many thanks to our sponsors for their financial support. It is the strongest hope of the organizers that similar unexpected developments will be stimulated also by the present conference.Guest EditorsLuigi Accardi, Farrukh Mukhamedov, Pah Chin Hee