Quantum Probability and Related Topics. Proceedings of the 32nd conference.

The present volume contains contributions of the 32nd International Conference on Quantum Probability and Related Topics held in Levico Terme (Italy) in June 2011 as the annual meeting of the Association for Quantum Probability and Innite Dimensional Analysis (AQPIDA). The conference was sponsored by CIRM Bruno Kessler Foundation, Centro V. Volterra and MIUR PRIN 2009 project "Quantum Probability and Applications to Information Theory". The goal of the conference was to communicate new results in quantum probability and infinite dimensional analysis and related elds. A wide range of topics was discussed: white noise and higher powers of white noise, quantum Markov semigroups and applications to quantum statistical mechanics, quantum stochastic calculus, stochastic differential equations, quantum Levy processes, product systems and interacting Fock spaces, algebraic probability, realizations of classical processes, quantum probability in bio-systems, complexity, entanglement and measurement showing the highly interdisciplinary activity of the field and deep connections with many areas of mathematics. Selected contributions highlighting the latest developments, collected after the conference, refereed by one or more experts, are now presented in this volume that will be of great value for researchers, applied mathematicians and graduate students.