Jan Zaanen's Books

Holographic Duality in Condensed Matter Physics

By: Jan Zaanen,Yan Liu,Ya-Wen Sun,Koenraad Schalm

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Holographic Duality in Condensed Matter Physics

By: Jan Zaanen,Yan Liu,Ya-Wen Sun,Koenraad Schalm

A pioneering treatise presenting how the new mathematical techniques of holographic duality unify seemingly unrelated fields of physics. This innovative development morphs quantum field theory, general relativity and the renormalisation group into a single computational framework and this book is the first to bring together a wide range of research in this rapidly developing field. Set within the context of condensed matter physics and using boxes highlighting the specific techniques required, it examines the holographic description of thermal properties of matter, Fermi liquids and superconductors, and hitherto unknown forms of macroscopically entangled quantum matter in terms of general relativity, stars and black holes. Showing that holographic duality can succeed where classic mathematical approaches fail, this text provides a thorough overview of this major breakthrough at the heart of modern physics. The inclusion of extensive introductory material using non-technical language and online Mathematica notebooks ensures the appeal to students and researchers alike.

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Page Count

587

Publisher

Cambridge University Press

Published Date

ISBN 10

131641213X

ISBN 13

9781316412138

Holographic Duality in Condensed Matter Physics

By: Jan Zaanen,Yan Liu (fizyka),Ya-Wen Sun,Koenraad Schalm

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Holographic Duality in Condensed Matter Physics

By: Jan Zaanen,Yan Liu (fizyka),Ya-Wen Sun,Koenraad Schalm

A pioneering treatise presenting how the mathematical techniques of holographic duality can unify the fundamental theories of physics.

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587

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Cambridge University Press

Published Date

ISBN 10

1107080088

ISBN 13

9781107080089

On Time

Causality and the Quantum Gravity Conflict

By: Jan Zaanen

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On Time

Causality and the Quantum Gravity Conflict

By: Jan Zaanen

This text revolves around a new and unusual view on the most fundamental puzzle of physics. It focusses on the key aspect that makes the role of the time dimension fundamentally different: causality. It deals on the one hand with general relativity, and on the other hand with quantum theory. The implicit and intuitive way by which causality is usually taken for granted is just made explicit and less self-evident, shedding a new light on the gravity-quantum conflict. The case is made that gravity is a necessary condition for a causal universe. But upon turning to the "pure" unitary quantum physics explaining the nature of matter one is dealing with the strictly a-causal time expressed through the thermal quantum field theory machinery. When this a-causal microscopic and causal macroscopic world meet, one encounters the wavefunction collapse, that itself may be rooted in the quantum-gravity conflict. Modern ideas are discussed resting on eigenstate thermalization showing how this may lie eventually at the origin of irreversible thermodynamics, with its famous second law setting also a direction of time. The case is anchored in the sophisticated modern mathematical machinery of both general relativity and quantum physics which is normally barely disseminated beyond the theoretical physics floors. The book is unique in the regard that the consequences of this machinery - Riemannian geometry and Penrose diagrams, thermal quantum fields, quantum non-equilibrium and so forth -- are explained in an original, descriptive language conveying the conceptual consequences while avoiding mathematical technicalities.

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Page Count

113

Publisher

Oxford University Press

Published Date

ISBN 10

0198920784

ISBN 13

9780198920786

On Time

Causality and the Quantum Gravity Conflict

By: Jan Zaanen

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On Time

Causality and the Quantum Gravity Conflict

By: Jan Zaanen

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113

Publisher

Oxford University Press

Published Date

ISBN 10

0198920784

ISBN 13

9780198920786

Functional Analysis

By: Jan van Neerven

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Functional Analysis

By: Jan van Neerven

A comprehensive, graduate-level introduction to functional analysis covering both the theory and main applications, with over 300 exercises.

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Page Count

727

Publisher

Cambridge University Press

Published Date

ISBN 10

1009232479

ISBN 13

9781009232470

The Adjoint of a Semigroup of Linear Operators

By: Jan van Neerven

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The Adjoint of a Semigroup of Linear Operators

By: Jan van Neerven

This monograph provides a systematic treatment of the abstract theory of adjoint semigroups. After presenting the basic elementary results, the following topics are treated in detail: The sigma (X, X )-topology, -reflexivity, the Favard class, Hille-Yosida operators, interpolation and extrapolation, weak -continuous semigroups, the codimension of X in X , adjoint semigroups and the Radon-Nikodym property, tensor products of semigroups and duality, positive semigroups and multiplication semigroups. The major part of the material is reasonably self-contained and is accessible to anyone with basic knowledge of semi- group theory and Banach space theory. Most of the results are proved in detail. The book is addressed primarily to researchers working in semigroup theory, but in view of the "Banach space theory" flavour of many of the results, it will also be of interest to Banach space geometers and operator theorists.

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Page Count

204

Publisher

Springer

Published Date

ISBN 10

3540474978

ISBN 13

9783540474975

The Asymptotic Behaviour of Semigroups of Linear Operators

By: Jan van Neerven

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The Asymptotic Behaviour of Semigroups of Linear Operators

By: Jan van Neerven

This book presents a systematic account of the theory of asymptotic behaviour of semigroups of linear operators acting in a Banach space. The focus is on the relationship between asymptotic behaviour of the semigroup and spectral properties of its infinitesimal generator. The most recent developments in the field are included, such as the Arendt-Batty-Lyubich-Vu theorem, the spectral mapp- ing theorem of Latushkin and Montgomery-Smith, Weis's theorem on stability of positive semigroup in Lp-spaces, the stability theorem for semigroups whose resolvent is bounded in a half-plane, and a systematic theory of individual stability. Addressed to researchers and graduate students with interest in the fields of operator semigroups and evolution equations, this book is self-contained and provides complete proofs.

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Page Count

247

Publisher

Birkhäuser

Published Date

ISBN 10

3034892063

ISBN 13

9783034892063

The Metric Theory of Tensor Products

Grothendieck's Résumé Revisited

By: Joseph Diestel,Alexandre Grothendieck,Jan H. Fourie,Johan Swart

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The Metric Theory of Tensor Products

Grothendieck's Résumé Revisited

By: Joseph Diestel,Alexandre Grothendieck,Jan H. Fourie,Johan Swart

Famed mathematician Alexander Grothendieck, in his Resume, set forth his plan for the study of the finer structure of Banach spaces. He used tensor products as a foundation upon which he built the classes of operators most important to the study of Banach spaces and established the importance of the "local" theory in the study of these operators and the spaces they act upon. When Lintenstrauss and Pelczynski addressed his work at the rebirth of Banach space theory, they shed his Fundamental Inequality in the trappings of operator ideals by shedding the tensorial formulation. The authors of this book, however, feel that there is much of value in Grothendieck's original formulations in the Resume and here endeavor to "expose the Resume" by presenting most of Grothendieck's arguments using the mathematical tools that were available to him at the time.

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Page Count

294

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821872699

ISBN 13

9780821872697

Handbook of Narrative Psychotherapy for Children, Adults, and Families

Theory and Practice

By: Jan Olthof

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Handbook of Narrative Psychotherapy for Children, Adults, and Families

Theory and Practice

By: Jan Olthof

The Handbook Narrative Psychotherapy for Children, Adults and Families combines philosophical, scientific and theoretical insights in the field of narrative psychotherapy and links them to sources of inspiration such as poetry, film, literature and art under the common denominator 'narrative thinking'. Sections on theoretical issues alternate with a large number of case histories drawn from different therapeutic contexts. The reader can browse at will through the many examples of therapeutic sessions, in some cases including literal transcriptions, in which narrativity in all its forms is the point of departure. What language does the body speak? What messages do seemingly random slips of the tongue convey? How can a painting help a client to find words for his or her story? The discussion of the 'logic of abduction' demonstrates the importance of metaphor, and special attention is given to the processes of creating a therapeutic context and defining a therapeutic framework.

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Page Count

424

Publisher

Routledge

Published Date

ISBN 10

0429914415

ISBN 13

9780429914416

Analysis in Banach Spaces

Volume I: Martingales and Littlewood-Paley Theory

By: Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis

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Analysis in Banach Spaces

Volume I: Martingales and Littlewood-Paley Theory

By: Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis

The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas.

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Page Count

628

Publisher

Springer

Published Date

ISBN 10

3319485202

ISBN 13

9783319485201

Markov Processes, Feller Semigroups And Evolution Equations

By: Jan A Van Casteren

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Markov Processes, Feller Semigroups And Evolution Equations

By: Jan A Van Casteren

The book provides a systemic treatment of time-dependent strong Markov processes with values in a Polish space. It describes its generators and the link with stochastic differential equations in infinite dimensions. In a unifying way, where the square gradient operator is employed, new results for backward stochastic differential equations and long-time behavior are discussed in depth. The book also establishes a link between propagators or evolution families with the Feller property and time-inhomogeneous Markov processes. This mathematical material finds its applications in several branches of the scientific world, among which are mathematical physics, hedging models in financial mathematics, and population models.

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Page Count

825

Publisher

World Scientific

Published Date

ISBN 10

9814464171

ISBN 13

9789814464178

Book's by Jan Zaanen

Holographic Duality in Condensed Matter Physics

Holographic Duality in Condensed Matter Physics

Holographic Duality in Condensed Matter Physics

Holographic Duality in Condensed Matter Physics

On Time

On Time

On Time

On Time

Functional Analysis

Functional Analysis

The Adjoint of a Semigroup of Linear Operators

The Adjoint of a Semigroup of Linear Operators

The Asymptotic Behaviour of Semigroups of Linear Operators

The Asymptotic Behaviour of Semigroups of Linear Operators

The Metric Theory of Tensor Products

The Metric Theory of Tensor Products

Handbook of Narrative Psychotherapy for Children, Adults, and Families

Handbook of Narrative Psychotherapy for Children, Adults, and Families

Analysis in Banach Spaces

Analysis in Banach Spaces

Markov Processes, Feller Semigroups And Evolution Equations

Markov Processes, Feller Semigroups And Evolution Equations

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