Luigi Accardi | "Tor Vergata" University of Rome (original) (raw)

Papers by Luigi Accardi

Journal of stochastic analysis, Jun 21, 2023

WORLD SCIENTIFIC eBooks, 2007

... Math., 2000, No 2, P. 7-12. [2] GG Amosov, Infinite dimensional analysis, Quantum Probability... more ... Math., 2000, No 2, P. 7-12. [2] GG Amosov, Infinite dimensional analysis, Quantum Probability and Rel. Top. - 2000. ... Examples generalizing the geometric Brownian motion will be discussed. Kozyrev, Sergei Centro Vito Volterra &amp; Semenov Institute of Chemical Physics ...

Kluwer Academic Publishers eBooks, 2001

Математические заметки, 1996

Open Systems & Information Dynamics, Jun 1, 2016

Recently a novel quantum information formalism — quantum adaptive dynamics — was developed and ap... more Recently a novel quantum information formalism — quantum adaptive dynamics — was developed and applied to modelling of information processing by bio-systems including cognitive phenomena: from molecular biology (glucose-lactose metabolism for E.coli bacteria, epigenetic evolution) to cognition, psychology. From the foundational point of view quantum adaptive dynamics describes mutual adapting of the information states of two interacting systems (physical or biological) as well as adapting of co-observations performed by the systems. In this paper we apply this formalism to model unconscious inference: the process of transition from sensation to perception. The paper combines theory and experiment. Statistical data collected in an experimental study on recognition of a particular ambiguous figure, the Schröder stairs, support the viability of the quantum(-like) model of unconscious inference including modelling of biases generated by rotation-contexts. From the probabilistic point of view, we study (for concrete experimental data) the problem of contextuality of probability, its dependence on experimental contexts. Mathematically contextuality leads to non-Komogorovness: probability distributions generated by various rotation contexts cannot be treated in the Kolmogorovian framework. At the same time they can be embedded in a “big Kolmogorov space” as conditional probabilities. However, such a Kolmogorov space has too complex structure and the operational quantum formalism in the form of quantum adaptive dynamics simplifies the modelling essentially.

QP-PQ, quantum probability and white noise analysis, Jul 4, 1994

... 43-65) © 1994 World Scientific Publishing Company 43 FLOWS AND IMPRIMITIVITY SYSTEMS Luigi Ac... more ... 43-65) © 1994 World Scientific Publishing Company 43 FLOWS AND IMPRIMITIVITY SYSTEMS Luigi Accardi Anilesh Mohari Centro V. Volterra Universita degli Stiudi di Roma ... which is invariant under the flow in the sense that VX,,<£ C; V^ 6C (2.1) The dual flow of (X, tt) on C is ...

QP-PQ, quantum probability and white noise analysis, Oct 1, 1991

Publications of The Research Institute for Mathematical Sciences, 1982

Infinite Dimensional Analysis, Quantum Probability and Related Topics, Nov 11, 2022

This paper is a short account of some of the scientific achievements of Wilhelm von Wldenfels wit... more This paper is a short account of some of the scientific achievements of Wilhelm von Wldenfels with particular attention to the contributions he gave to quantum probability, a field in which he was one of the pioneers.

Математические заметки, 2000

WORLD SCIENTIFIC eBooks, Mar 1, 2013

QP-PQ, quantum probability and white noise analysis, Sep 1, 1993

Istituto della Enciclopedia Italiana eBooks, 1993

International Journal of Modern Physics, Jul 30, 2022

After discussing in general the advantages, for the applications to physics, of deductive models ... more After discussing in general the advantages, for the applications to physics, of deductive models with respect to phenomenological ones, we concentrate on open systems and describe the main ideas of the stochastic limit approach to open systems. We discuss the various levels of the stochastic limit (in increasing order of complexity of the interaction Hamiltonian) describing the new features that emerge at each level and their applications to different branches of physics. We illustrate some examples which highlight how, using the stochastic limit approach, one can answer long-standing questions on various physical behaviors of the composite system solving problems that cannot even be formulated in the reduced evolution (master equation) scheme. In the second part of the paper, we outline the main ideas of the proofs of some of the new features described in the first part. For lack of space, we focus our attention on Level 1 and we have to omit most physical applications. These topics will be the object of a future publication.

Open Systems & Information Dynamics, Sep 1, 2016

Professor Masanori Ohya, an outstanding physicist and mathematician, one of the creators and prop... more Professor Masanori Ohya, an outstanding physicist and mathematician, one of the creators and propagators of information dynamics as a new branch of modern science, died on September 17, 2016 at the age of 69. Professor Ohya was born on March 21, 1947, in Chiba, Japan. His scientific education started at the University of Tokyo, where in the period of 1967–68 he was a student in the Department of Mathematics and subsequently, in 1968–70, in the Department of Physics. In 1976, working under the supervision of Prof. Gerard G. Emch at the University of Rochester, New York, USA, he received the Ph.D. degree in physics. Independently, he was a student of Prof. Hisaharu Umegaki at Tokyo Institute of Technology, where he obtained the D.Sc. degree. Since 1987 until 2015 he held the position of professor at the Department of Information Sciences, Tokyo University of Science (TUS). In the period of 2001–2005 he was the Director of Frontier Research Centre of Computational Science and Technology at TUS. He also served as the Dean of the Faculty of Science and Technology of TUS. In his intense scientific activity Professor Masanori Ohya attained many important results. Many of them are synthesized in his monograph on entropy, co-authored by Denes Petz, that until now is the most complete mathematical treatment of this subject. Among his results, probably the most original are the 1983 quantum extensions of mutual entropy and compound channel — the basic ingredients for the notion of channel capacity, the quan-