1 edition of **Stochastic Processes and Operator Calculus on Quantum Groups** found in the catalog.

- 311 Want to read
- 4 Currently reading

Published
**1999**
by Springer Netherlands in Dordrecht
.

Written in English

- Group theory,
- Mathematics,
- Distribution (Probability theory)

This book aims to present several new developments on stochastic processes and operator calculus on quantum groups. Topics which are treated include operator calculus, dual representations, stochastic processes and diffusions, Appell polynomials and systems in connection with evolution equations. Audience: This volume contains introductory material for graduate students who are new to the field, as well as more advanced material for specialists in probability theory, algebraic structures, representation theory, mathematical physics and theoretical physics.

**Edition Notes**

Statement | by Uwe Franz, René Schott |

Series | Mathematics and Its Applications -- 490, Mathematics and Its Applications -- 490 |

Contributions | Schott, René |

Classifications | |
---|---|

LC Classifications | QA273.A1-274.9, QA274-274.9 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource (vii, 231 p.) |

Number of Pages | 231 |

ID Numbers | |

Open Library | OL27089441M |

ISBN 10 | 9048152909, 9401592772 |

ISBN 10 | 9789048152902, 9789401592772 |

OCLC/WorldCa | 851371056 |

Over the decades, Functional Analysis has been enriched and inspired on account of demands from neighboring fields, within mathematics, harmonic analysis (wavelets and signal processing), numerical analysis (finite element methods, discretization), PDEs (diffusion equations, scattering theory), representation theory; iterated function systems (fractals, Julia Cited by: 1. Werner Blum, Michele Artigue, Maria Alessandra Mariotti, Rudolf Strasser, and Marja Van den Heuvel-Panhuizen, editors.

Stochastic Processes (Wiley Classics Library) Book Title:Stochastic Processes (Wiley Classics Library) The theory of stochastic processes has developed so much in the last twenty years that the need for a systematic account of the subject has been felt, particularly by students and instructors of probability. This volume includes papers by leading mathematicians in the fields of stochastic analysis, white noise theory and quantum information, together with their applications. The papers selected were presented at the International Conference on Stochastic Analysis: Classical and Quantum held at Meijo University, Nagoya, Japan from 1 to 5 November

It includes new treatments of photodetection, quantum amplifier theory, non-Markovian quantum stochastic processes, quantum input-output theory, and positive P-representations. It is the first book in which quantum noise is described by a mathematically complete theory in a form that is also suited to practical applications. Stochastic Calculus for Fractional Brownian Motion and Related Processes (Lecture Notes in Mathematics) Book Title:Stochastic Calculus for Fractional Brownian Motion and Related Processes (Lecture Notes in Mathematics) The theory of fractional Brownian motion and other longmemory processes are addressed in this volume.

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Buy Stochastic Processes and Operator Calculus on Quantum Groups (Mathematics and Its Applications) on FREE SHIPPING on qualified ordersCited by: "This book aims to present several new developments on stochastic processes and operator calculus on quantum groups. Topics which are treated include operator calculus, dual representations, stochastic processes and diffusions, Appell polynomials and systems in connection with evolution equations."--BOOK JACKET.

Stochastic Processes and Operator Calculus on Quantum Groups. Authors (view affiliations) Uwe Franz Search within book. Front Matter. Pages i-vii. PDF. Introduction.

Hopf algebras, quantum groups and braided spaces. Uwe Franz, René Schott. Pages Stochastic processes on quantum groups. Uwe Franz, René Schott. Pages This book aims to present several new developments on stochastic processes and operator calculus on quantum groups.

Topics which are treated include operator calculus, dual representations, stochastic processes and diffusions, Appell polynomials and systems in connection with evolution equations. Stochastic Processes and Operator Calculus on Quantum Groups Stochastic processes on quantum groups.

Pages *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Description: This book aims to present several new developments on stochastic processes and operator calculus on quantum groups.

Topics which are treated include operator calculus, dual representations, stochastic processes and diffusions, Appell polynomials and systems in connection with evolution equations. Franz U., Schott R. () Stochastic processes on quantum groups. In: Stochastic Processes and Operator Calculus on Quantum Groups.

Mathematics and Its Applications, vol Author: Uwe Franz, René Schott. In probability theory and related fields, a stochastic or random process is a mathematical object usually defined as a family of random ically, the random variables were associated with or indexed by a set of numbers, usually viewed as points in time, giving the interpretation of a stochastic process representing numerical values of some system randomly changing over.

Quantum Stochastic Calculus and Quantum Gaussian Processes 7 Γ(H) = C ⊕H ⊕H s 2 ⊕⊕H s n ⊕. (1) where C is the 1-dimensional Hilbert space of complex numbers and H s n is the n-fold symmetric tensor product of copies of subspace H s n in Γ(H) is called the n-particle subspace and C is called the vacuum subspace.

Noncommutative Differential Calculus: Quantum Groups, Stochastic Processes, and the Antibracket Article (PDF Available) February with 22 Reads How we measure 'reads'. Semiclassical and Stochastic Gravity by Bei-lok B.

Hu, Enric Verdaguer. Title Semiclassical and Stochastic Gravity. Bei-Lok B. Hu is Professor of Physics at the University of Maryland, College Park. His research in theoretical physics focuses on gravitation and quantum Rating: % positive.

Quantum Independent Increment Processes I From Classical Probability to Quantum Stochastic Calculus. Authors: Applebaum, D., Bhat, B.V.R., on quantum independent increment processes aimed at graduate students and non-specialists working in classical and quantum probability, operator algebras, and mathematical physics.

In this paper Brownian increments are replaced by the fundamental quantum martingales, namely the creation, preservation and annihilation processes of Author: J. Martin Lindsay. Affine Lie Algebras and Quantum Groups: An Introduction, with Applications in Conformal Field Theory. As a math book and not a physics book, Stochastic Processes and Operator Calculus on Quantum Groups U.

Franz, René Schott Limited preview - /5(1). Quantum Independent Increment Processes I: From Classical Probability to Quantum Stochastic Calculus David Applebaum (auth.), Michael Schürmann, Uwe Franz (eds.) This volume is the first of two volumes containing the revised and completed notes lectures given at the school "Quantum Independent Increment Processes: Structure and Applications.

Following a brief introduction in finance, quantum calculus, and probability theory, Itô's lemma is proven under different assumptions. To do so, Taylor's theorem and basic stochastic methods are used. The consequential results are accompanied by examples concerning a change of the range of the needed processes.

Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations. It has two major branches, differential calculus and integral calculus; the former concerns instantaneous rates of change.

This monograph is a progressive introduction to non-commutativity in probability theory, summarizing and synthesizing recent results about classical and quantum stochastic processes on Lie algebras.

In the early chapters, focus is placed on concrete examples of the links between algebraic relations and the moments of probability distributions. The subsequent chapters are. Barchielli, “ Continual measurements in quantum mechanics and quantum stochastic calculus,” in Open Quantum Systems III (Springer, ), pp.

– As is well known, the bosonic Fock space over L 2 R + is isomorphic to the Hilbert space of square-integrable functions on the Wiener space—via the Wiener chaos decomposition (see, e.g.

This book is a systematic, self-contained account of the core of quantum probability and quantum stochastic processes for graduate students and researchers. The only assumed background is knowledge of the basic theory of Hilbert spaces, bounded linear operators, and Cited by: 2.

Operator Algebras and Quantum Statistical Mechanics, Probability, Stochastic calculus, Quantum Groups,Christian : Kevin de Asis.Examples and Problems of Applied Differential Equations. Ravi P. Agarwal, Simona Hodis, and Donal O'Regan. Febru Ordinary Differential Equations, Textbooks.

A Mathematician’s Practical Guide to Mentoring Undergraduate Research. Michael Dorff, Allison Henrich, and Lara Pudwell.

Febru Undergraduate Research.Operator Calculus On Graphs: Theory and Applications in Computer Science Rene Schott, G. Stacey Staples This pioneering book presents a study of the interrelationships among operator calculus, graph theory, and quantum probability in a unified manner, with significant emphasis on symbolic computations and an eye toward applications in computer.