Luigi Accardi's Books

Quantum Probability & Related Topics

By: Luigi Accardi

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Quantum Probability & Related Topics

By: Luigi Accardi

This volume contains several surveys of important developments in quantum probability. The new type of quantum central limit theorems, based on the notion of free independence rather than the usual Boson or Fermion independence is discussed. A surprising result is that the role of the Gaussian for this new type of independence is played by the Wigner distribution. This motivated the introduction of new type of quantum independent increments noise, the free noise and the corresponding stochastic calculus. A further generalization, the ?-noises, is discussed. The free stochastic calculus is shown to be able to fit naturally into the general representation free calculus. The basic free are shown to be realized as non-adapted stochastic integrals with respect to the usual Boson white noises. Quantum noise on the finite difference algebra is expressed in terms of the usual Boson white noises. A new quantum way of looking at classical stochastic flows, in particular diffusions on Riemannian Manifolds is explained. Quantum groups are discussed from the point of view of possible applications to quantum probability. The applications of quantum probability to physics are surveyed.

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Page Count

544

Publisher

World Scientific

Published Date

ISBN 10

9810207166

ISBN 13

9789810207168

Quantum Bio-informatics

From Quantum Information to Bio-informatics : Tokyo University of Science, Japan, 14-17 March 2007

By: Luigi Accardi,Wolfgang Freudenberg,Masanori Ohya

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Quantum Bio-informatics

From Quantum Information to Bio-informatics : Tokyo University of Science, Japan, 14-17 March 2007

By: Luigi Accardi,Wolfgang Freudenberg,Masanori Ohya

The purpose of this volume is examine bio-informatics and quantum information, which are growing rapidly at present, and to attempt to connect the two, with a view to enumerating and solving the many fundamental problems they entail. To this end, we look for interdisciplinary bridges in mathematics, physics, and information and life sciences. In particular, research into a new paradigm for information science and life science on the basis of quantum theory is emphasized.

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469

Publisher

World Scientific

Published Date

ISBN 10

981279316X

ISBN 13

9789812793164

Fundamental Aspects of Quantum Physics

Proceedings of the Japan-Italy Joint Workshop on Quantum Open Systems, Quantum Chaos and Quantum Measurement : Waseda University, Tokyo, Japan, 27-29 September 2001

By: Luigi Accardi,Shuichi Tasaki

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Fundamental Aspects of Quantum Physics

Proceedings of the Japan-Italy Joint Workshop on Quantum Open Systems, Quantum Chaos and Quantum Measurement : Waseda University, Tokyo, Japan, 27-29 September 2001

By: Luigi Accardi,Shuichi Tasaki

This volume includes new topics such as the stochastic limit approach to nonequilibrium states, a new algebraic approach to relativistic nonequilibrium local states, classical and quantum features of weak chaos, transports in quantum billiards, the Welcher-Weg puzzle with a decaying atom, and the topics related to the quantum Zeno effect.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)

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348

Publisher

World Scientific

Published Date

ISBN 10

981238295X

ISBN 13

9789812382955

From Physics to Control Through an Emergent View

By: Luigi Fortuna,Aleksandr L?vovich Fradkov,Mattia Frasca

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From Physics to Control Through an Emergent View

By: Luigi Fortuna,Aleksandr L?vovich Fradkov,Mattia Frasca

The book is a compilation of selected papers from the conference on Physics and Control 2009, presenting a unified perspective underlying the thematics and strategies related to the control of physical systems with emerging applications in physics, engineering, chemistry, biology and other natural sciences. The selected papers reflect the state-of-the-art of the more advanced theoretical and practical studies in the field of control of complex systems. The contributions provide a comprehensive view on some selected topics of particular importance at the disciplinary borderline between Physics and Control.

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Page Count

395

Publisher

World Scientific

Published Date

ISBN 10

9814313149

ISBN 13

9789814313148

Quantum Bio-informatics III

From Quantum Information to Bio-informatics, Tokyo University of Science, Japan, 11-14 March 2009

By: Luigi Accardi,Wolfgang Freudenberg,Masanori Ohya

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Quantum Bio-informatics III

From Quantum Information to Bio-informatics, Tokyo University of Science, Japan, 11-14 March 2009

By: Luigi Accardi,Wolfgang Freudenberg,Masanori Ohya

The purpose of this proceedings volume is to look for interdisciplinary bridges in mathematics, physics, information and life sciences, in particular, research for new paradigms for information and life sciences on the basis of quantum theory. The main areas in this volume are all related to one of the following subjects: (1) quantum information, (2) bio-informatics and (3) the interrelation between (1) and (2).

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Page Count

512

Publisher

World Scientific

Published Date

ISBN 10

9814304050

ISBN 13

9789814304054

Luigi Moretti

Works and Writings

By: Luigi Moretti,Federico Bucci,Marco Mulazzani

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Luigi Moretti

Works and Writings

By: Luigi Moretti,Federico Bucci,Marco Mulazzani

Luigi Moretti is the first English-language monograph on the Italian architect and will introduce his writings to the English-speaking world.

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286

Publisher

Princeton Architectural Press

Published Date

ISBN 10

1568983069

ISBN 13

9781568983066

Quantum Probability and Applications V

Proceedings of the Fourth Workshop, held in Heidelberg, FRG, Sept. 26-30, 1988

By: Luigi Accardi,Wilhelm v. Waldenfels

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Quantum Probability and Applications V

Proceedings of the Fourth Workshop, held in Heidelberg, FRG, Sept. 26-30, 1988

By: Luigi Accardi,Wilhelm v. Waldenfels

These proceedings of the workshop on quantum probability held in Heidelberg, September 26-30, 1988 contains a representative selection of research articles on quantum stochastic processes, quantum stochastic calculus, quantum noise, geometry, quantum probability, quantum central limit theorems and quantum statistical mechanics.

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Page Count

420

Publisher

Springer

Published Date

ISBN 10

3540530266

ISBN 13

9783540530268

Quantum Theory and Its Stochastic Limit

By: Luigi Accardi,Yun Gang Lu,Igor Volovich

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Quantum Theory and Its Stochastic Limit

By: Luigi Accardi,Yun Gang Lu,Igor Volovich

Well suited as a textbook in the emerging field of stochastic limit, which is a new mathematical technique developed for solving nonlinear problems in quantum theory.

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Page Count

485

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662049295

ISBN 13

9783662049297

Quantum Bioinformatics Four

By: Luigi Accardi,Wolfgang Freudenberg,Masanori Ohya

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Quantum Bioinformatics Four

By: Luigi Accardi,Wolfgang Freudenberg,Masanori Ohya

The purpose of this proceedings volume is to return to the starting point of bio-informatics and quantum information, fields that are growing rapidly at present, and to seriously attempt mutual interaction between the two, with a view to enumerating and solving the many fundamental problems they entail. For such a purpose, we look for interdisciplinary bridges in mathematics, physics, information and life sciences, in particular, research for new paradigm for information science and life science on the basis of quantum theory.

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Page Count

503

Publisher

World Scientific

Published Date

ISBN 10

9814343757

ISBN 13

9789814343756

Selected Papers of Takeyuki Hida

By: Takeyuki Hida,Luigi Accardi

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Selected Papers of Takeyuki Hida

By: Takeyuki Hida,Luigi Accardi

The topics discussed in this book can be classified into three parts: . (i) Gaussian processes. The most general and in fact final representation theory of Gaussian processes is included in this book. This theory is still referred to often and its developments are discussed. (ii) White noise analysis. This book includes the notes of the series of lectures delivered in 1975 at Carleton University in Ottawa. They describe the very original idea of introducing the notion of generalized Brownian functionals (nowadays called OC generalized white noise functionalsOCO, and sometimes OC Hida distributionOCO. (iii) Variational calculus for random fields. This topic will certainly represent one of the driving research lines for probability theory in the next century, as can be seen from several papers in this volume. Sample Chapter(s). Chapter 1: Analysis of Brownian Functionals (1,502 KB). Contents: General Theory of White Noise Functionals; Gaussian and Other Processes; Infinite Dimensional Harmonic Analysis and Rotation Group; Quantum Theory; Feynman Integrals and Random Fields; Variational Calculus and Random Fields; Application to Biology. Readership: Graduate students and researchers in the fields of probability theory, functional analysis, statistics and theoretical physics.

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Page Count

498

Publisher

World Scientific

Published Date

ISBN 10

9812794611

ISBN 13

9789812794611

Book's by Luigi Accardi

Quantum Probability & Related Topics

Quantum Probability & Related Topics

Quantum Bio-informatics

Quantum Bio-informatics

Fundamental Aspects of Quantum Physics

Fundamental Aspects of Quantum Physics

From Physics to Control Through an Emergent View

From Physics to Control Through an Emergent View

Quantum Bio-informatics III

Quantum Bio-informatics III

Luigi Moretti

Luigi Moretti

Quantum Probability and Applications V

Quantum Probability and Applications V

Quantum Theory and Its Stochastic Limit

Quantum Theory and Its Stochastic Limit

Quantum Bioinformatics Four

Quantum Bioinformatics Four

Selected Papers of Takeyuki Hida

Selected Papers of Takeyuki Hida

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