Luigi Accardi

Luigi Accardi (* 1947 in Naples ) is an Italian mathematician who studies mathematical economics and stochastics. He is one of the pioneers of quantum stochastics (Quantum Probability).

Accardi received his Laureate Degree in 1970 from the University of Naples with ER Caianello and M. Curzio (Algebraic Theory of Automata and Application to Neural Networks). In 1974 he received his doctorate under Jakow Grigoryevich Sinai at Lomonossow University in Moscow (candidate title, thesis: non-commutative Markov theory and square roots of measurements ). He then conducted research for the Italian national research organization CNR, taught at the University of Salerno and was a visiting researcher at the Center for Theoretical Physics of the CNRS in Marseille, at Cornell University in 1978/79 , and was at the Dublin Institute for Advanced Studies with John Trevor Lewis (1979) and taught in Milan. In 1980 he became a professor at the University of Cagliari and from 1982 at the University of Rome (Tor Vergata). Today he is Professor of Mathematics in the Faculty of Economics, where he moved from the Mathematics Faculty in the early 1990s.

In 1983 he was visiting scholar in New Delhi with KR Parthasarathy and in 1985 and 1986 in Princeton (with JS Watson) and at the University of Warwick (with D. Elworthy). In 1988/89 he was visiting scholar at the University of Strasbourg with Paul-André Meyer and at the University of Gainesville in Florida with Rudolf Kalman . He was also a visiting researcher at the ETH Zurich and in Tokyo (with Masanori Ohya).

Fonts

• Quantum probability - a historical survey, in G. Budzban, Ph. Feinsilver, A. Mukherjea Probability on algebraic structures , American Mathematical Society 2000
• Foundations of quantum mechanics: a quantum probabilistic approach, in G. Tarozzi, A. van der Merwe The nature of quantum paradoxes , Reidel, 1988, pp. 257-323
• Topics in quantum probability, Physics Reports, Volume 77, 1981, pp. 169-192
• Can mathematics help solving the interpretational problems of quantum theory?, Nuovo Cimento, B 110, 1995, 685-721
• Quantum probability: an introduction to some basic ideas and trends, Aportaciones Matematicas, 16, 2001, 1-128
• with Yun Gang Lu, Igor Volovich : Quantum theory and its stochastic limit , Springer Verlag 2002
• Edited with M. Ohya, N. Watanabe: Quantum information and computing, World Scientific 2006
• Editor with Wolfgang Freudenberg, Masanori Ohya: Quantum Bio-Informatics, Volumes 1 to 5, World Scientific 2008–2013
• Editor with Wilhelm Freiherr von Waldenfels Quantum probability and applications , Springer Verlag, part 2 to 5, 1985 to 1990 (workshops in Rome, Heidelberg, Oberwolfach)
• with JT Lewis, Alberto Frigerio Quantum stochastic processes , Publ. Res. Inst. Math. Sci., Vol. 18, 1982, pp. 97-133

He is the editor of Quantum probability and related topics.

Web links

• CV from his homepage ( Memento from February 10, 2015 in the Internet Archive )