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| Softcover ISBN: | 978-0-8218-6898-0 |
| Product Code: | CONM/552 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-0-8218-8231-3 |
| Product Code: | CONM/552.E |
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| Softcover ISBN: | 978-0-8218-6898-0 |
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Book DetailsContemporary MathematicsVolume: 552; 2011; 224 ppMSC: Primary 35; 60; 81; 82; 15
The goal of the Entropy and the Quantum schools has been to introduce young researchers to some of the exciting current topics in mathematical physics. These topics often involve analytic techniques that can easily be understood with a dose of physical intuition.
In March of 2010, four beautiful lectures were delivered on the campus of the University of Arizona. They included Isoperimetric Inequalities for Eigenvalues of the Laplacian by Rafael Benguria, Universality of Wigner Random Matrices by Laszlo Erdős, Kinetic Theory and the Kac Master Equation by Michael Loss, and Localization in Disordered Media by Günter Stolz. Additionally, there were talks by other senior scientists and a number of interesting presentations by junior participants. The range of the subjects and the enthusiasm of the young speakers are testimony to the great vitality of this field, and the lecture notes in this volume reflect well the diversity of this school.
ReadershipGraduate students and research mathematicians interested in mathematical physics and analysis.
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Table of Contents
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Articles
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Eric Carlen, Maria C. Carvalho and Michael Loss — Kinetic theory and the Kac Master equation
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Rafael D. Benguria — Isoperimetric inequalities for eigenvalues of the Laplacian
-
Najoua Gamara, Abdelhalim Hasnaoui and Lotfi Hermi — Max-to-mean ratio estimates for the fundamental eigenfunction of the Dirichlet Laplacian
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Günter Stolz — An introduction to the mathematics of Anderson localization
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Helge Krüger — Schrödinger operators with potential $V(n)=n^{-\gamma }\cos (2\pi n^{\rho })$
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Alain Joye — Random unitary models and their localization properties
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Shannon Starr — Universality of correlations for random analytic functions
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Anna Maltsev and Benjamin Schlein — A Wegner estimate for Wigner matrices
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Bruno Nachtergaele, Anna Vershynina and Valentin A. Zagrebnov — Lieb-Robinson bounds and existence of the thermodynamic limit for a class of irreversible quantum dynamics
-
Christina Goldschmidt, Daniel Ueltschi and Peter Windridge — Quantum Heisenberg models and their probabilistic representations
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
The goal of the Entropy and the Quantum schools has been to introduce young researchers to some of the exciting current topics in mathematical physics. These topics often involve analytic techniques that can easily be understood with a dose of physical intuition.
In March of 2010, four beautiful lectures were delivered on the campus of the University of Arizona. They included Isoperimetric Inequalities for Eigenvalues of the Laplacian by Rafael Benguria, Universality of Wigner Random Matrices by Laszlo Erdős, Kinetic Theory and the Kac Master Equation by Michael Loss, and Localization in Disordered Media by Günter Stolz. Additionally, there were talks by other senior scientists and a number of interesting presentations by junior participants. The range of the subjects and the enthusiasm of the young speakers are testimony to the great vitality of this field, and the lecture notes in this volume reflect well the diversity of this school.
Graduate students and research mathematicians interested in mathematical physics and analysis.
-
Articles
-
Eric Carlen, Maria C. Carvalho and Michael Loss — Kinetic theory and the Kac Master equation
-
Rafael D. Benguria — Isoperimetric inequalities for eigenvalues of the Laplacian
-
Najoua Gamara, Abdelhalim Hasnaoui and Lotfi Hermi — Max-to-mean ratio estimates for the fundamental eigenfunction of the Dirichlet Laplacian
-
Günter Stolz — An introduction to the mathematics of Anderson localization
-
Helge Krüger — Schrödinger operators with potential $V(n)=n^{-\gamma }\cos (2\pi n^{\rho })$
-
Alain Joye — Random unitary models and their localization properties
-
Shannon Starr — Universality of correlations for random analytic functions
-
Anna Maltsev and Benjamin Schlein — A Wegner estimate for Wigner matrices
-
Bruno Nachtergaele, Anna Vershynina and Valentin A. Zagrebnov — Lieb-Robinson bounds and existence of the thermodynamic limit for a class of irreversible quantum dynamics
-
Christina Goldschmidt, Daniel Ueltschi and Peter Windridge — Quantum Heisenberg models and their probabilistic representations
