Lecture notes


2010  •  Arizona School of Analysis with Applications

The lecture notes of the 2010 school have been published in Contemporary Mathematics, volume 552 (October 2011)

Contents, preface, and list of participants

Eric Carlen, Maria Carvalho, and Michael Loss  •  Kinetic Theory and the Kac Master Equation  •  Contemp. Math. 552 pp 1-20

Rafael Benguria  •  Isoperimetric Inequalities for Eigenvalues of the Laplacian  •  Contemp. Math. 552 pp 21-60

Najoua Gamara, Abdelhalim Hasnaoui, and Lotfi Hermi  •  Max-to-Mean Ratio Estimates for the Fundamental Eigenfunction of the Dirichlet Laplacian  •  Contemp. Math. 552 pp 61-70

Günter Stolz  •  An Introduction to the Mathematics of Anderson Localization  •  Contemp. Math. 552 pp 71-108

Helge Krüger  •  Schrödinger Operators with Potential V(n) = ncos(2πnρ)  •  Contemp. Math. 552 pp 109-116

Alain Joye  •  Random Unitary Models and their Localization Properties  •  Contemp. Math. 552 pp 117-134

Shannon Starr  •  Universality of Correlations for Random Analytic Functions  •  Contemp. Math. 552 pp 135-144

Anna Maltsev and Benjamin Schlein  •  A Wegner Estimate for Wigner Matrices  •  Contemp. Math. 552 pp 145-160

Bruno Nachtergaele, Anna Vershynina, and Valentin Zagrebnov  •  Lieb-Robinson Bounds and Existence of the Thermodynamic Limit for a Class of Irreversible Quantum Dynamics  •  Contemp. Math. 552 pp 161-175

Christina Goldschmidt, Daniel Ueltschi, and Peter Windridge  •  Quantum Heisenberg models and their probabilistic representations  •  Contemp. Math. 552 pp 177-224

The following lecture notes will not appear in the volume but they can be downloaded here:

Laszlo Erdös  •  Universality of Wigner Random Matrices


2009  •  Entropy & the Quantum

The lecture notes of Entropy & the Quantum have been published in Contemporary Mathematics, volume 529 (December 2010)  •  MathSciNet

Contents, preface, and list of participants

William G. Faris  •  Outline of Quantum Mechanics  •  Contemp. Math. 529 pp 1-52  •  MathSciNet

Robert Seiringer  •  Inequalities for Schrödinger Operators and Applications to the Stability of Matter Problem  •  Contemp. Math. 529 pp 53-72  •  MathSciNet

Eric A. Carlen  •  Trace Inequalities and Quantum Entropy  •  Contemp. Math. 529 pp 73-140  •  MathSciNet

Bruno Nachtergaele & Robert Sims  •  Lieb-Robinson Bounds in Quantum Many-Body Physics  •  Contemp. Math. 529 pp 141-176  •  MathSciNet

Christopher King  •  Remarks on the Additivity Conjectures for Quantum Channels  •  Contemp. Math. 529 pp 177-188  •  MathSciNet

Christian Hainzl  •  On the Static and Dynamical Collapse of White Dwarfs  •  Contemp. Math. 529 pp 189-202  •  MathSciNet