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Softcover ISBN:  9780821868980 
Product Code:  CONM/552 
List Price:  $130.00 
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AMS Member Price:  $104.00 
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Softcover ISBN:  9780821868980 
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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.

Table of Contents

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 — Maxtomean 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 — LiebRobinson 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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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 — Maxtomean 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 — LiebRobinson 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