1. Preface

   • Joel L. Lebowitz

   OriginalPaper Pages: 1 - 1

2. Elliott's World: From Square Ice to Cubic Jellium

   • Freeman Dyson

   OriginalPaper Pages: 3 - 8

3. A Laudatio for Elliott Lieb on His Receiving the Poincaré Medal at the International Congress on Mathematical Physics in Lisbon, July 30, 2003

   • Joel L. Lebowitz

   OriginalPaper Pages: 9 - 11

4. Elliott Lieb and the Art of Mathematical Physics

   • Jakob Yngvason

   OriginalPaper Pages: 13 - 16

5. Interactive Modelling

   • Gérard G. Emch

   OriginalPaper Pages: 17 - 28

6. New Kinds of Entropy

   • S. F. Edwards

   OriginalPaper Pages: 29 - 42

7. The Six and Eight-Vertex Models Revisited

   • R. J. Baxter

   OriginalPaper Pages: 43 - 66

8. The Odd Eight-Vertex Model

   • F. Y. Wu
   • H. Kunz

   OriginalPaper Pages: 67 - 78

9. Quantum Spin Chain, Toeplitz Determinants and the Fisher—Hartwig Conjecture

   • B.-Q. Jin
   • V. E. Korepin

   OriginalPaper Pages: 79 - 95

10. Partition Function Zeros at First-Order Phase Transitions: Pirogov—Sinai Theory

    • M. Biskup
    • C. Borgs
    • R. Kotecký

    OriginalPaper Pages: 97 - 155

11. Continuum Nonsimple Loops and 2D Critical Percolation

    • Federico Camia
    • Charles M. Newman

    OriginalPaper Pages: 157 - 173

12. A Proof of the Gibbs—Thomson Formula in the Droplet Formation Regime

    • Marek Biskup
    • Lincoln Chayes
    • Roman Kotecký

    OriginalPaper Pages: 175 - 203

13. Charge Fluctuations for a Coulomb Fluid in a Disk on a Pseudosphere

    • B. Jancovici
    • G. Téllez

    OriginalPaper Pages: 205 - 230

14. Local Time-Decay of Solutions to Schrödinger Equations with Time-Periodic Potentials

    • A. Galtbayar
    • A. Jensen
    • K. Yajima

    OriginalPaper Pages: 231 - 282

15. Time Asymptotics of the Schrödinger Wave Function in Time-Periodic Potentials

    • O. Costin
    • R. D. Costin
    • J. L. Lebowitz

    OriginalPaper Pages: 283 - 310

16. Ionization of Atoms in a Thermal Field

    • J. Fröhlich
    • M. Merkli
    • I. M. Sigal

    OriginalPaper Pages: 311 - 359

17. Connectedness of the Isospectral Manifold for One-Dimensional Half-Line Schrödinger Operators

    • Fritz Gesztesy
    • Barry Simon

    OriginalPaper Pages: 361 - 365

18. On the Quantum Boltzmann Equation

    • László Erdős
    • Manfred Salmhofer
    • Horng-Tzer Yau

    OriginalPaper Pages: 367 - 380

19. Some Considerations on the Derivation of the Nonlinear Quantum Boltzmann Equation

    • D. Benedetto
    • F. Castella
    • M. Pulvirenti

    OriginalPaper Pages: 381 - 410

20. On the Nature of Fermi Golden Rule for Open Quantum Systems

    • Jan Dereziński
    • Vojkan Jakšić

    OriginalPaper Pages: 411 - 423

21. Transport and Dissipation in Quantum Pumps

    • J. E. Avron
    • A. Elgart
    • L. Sadun

    OriginalPaper Pages: 425 - 473

22. Magnetic Lieb—Thirring Inequalities with Optimal Dependence on the Field Strength

    • László Erdős
    • Jan Philip Solovej

    OriginalPaper Pages: 475 - 506

23. Generalized Hardy Inequality for the Magnetic Dirichlet Forms

    • Alexander Balinsky
    • Ari Laptev
    • Alexander V. Sobolev

    OriginalPaper Pages: 507 - 521

24. Asymptotic Exactness of Magnetic Thomas—Fermi Theory at Nonzero Temperature

    • Bergthór Hauksson
    • Jakob Yngvason

    OriginalPaper Pages: 523 - 546

25. One-Dimensional Models for Atoms in Strong Magnetic Fields, II: Anti-Symmetry in the Landau Levels

    • Raymond Brummelhuis
    • Mary Beth Ruskai

    OriginalPaper Pages: 547 - 570

26. Quantum Phase Diagram of an Exactly Solved Mixed Spin Ladder

    • M. T. Batchelor
    • X.-W. Guan
    • Z.-J. Ying

    OriginalPaper Pages: 571 - 589

27. Correlation at Low Temperature: II. Asymptotics

    • Volker Bach
    • Jacob Schach Møller

    OriginalPaper Pages: 591 - 628

28. Lieb's Spin-Reflection-Positivity Method and Its Applications to Strongly Correlated Electron Systems

    • Guang-Shan Tian

    OriginalPaper Pages: 629 - 680

29. Segregation in the Asymmetric Hubbard Model

    • Daniel Ueltschi

    OriginalPaper Pages: 681 - 697

30. Charge Stripes Due to Electron Correlations in the Two-Dimensional Spinless Falicov—Kimball Model

    • R. Lemański
    • J. K. Freericks
    • G. Banach

    OriginalPaper Pages: 699 - 718

31. Ferromagnetic Ordering of Energy Levels

    • Bruno Nachtergaele
    • Wolfgang Spitzer
    • Shannon Starr

    OriginalPaper Pages: 719 - 738

32. Random Matrix Theory and the Anderson Model

    • Jean Bellissard

    OriginalPaper Pages: 739 - 754

33. Planar Pyrochlore, Quantum Ice and Sliding Ice

    • R. Moessner
    • Oleg Tchernyshyov
    • S. L. Sondhi

    OriginalPaper Pages: 755 - 772

34. Design of a Nanomagnet

    • Daniel C. Mattis

    OriginalPaper Pages: 773 - 782

35. Fourier's Law for a Harmonic Crystal with Self-Consistent Stochastic Reservoirs

    • Federico Bonetto
    • Joel L. Lebowitz
    • Jani Lukkarinen

    OriginalPaper Pages: 783 - 813

36. Adiabatic Piston as a Dynamical System

    • A. I. Neishtadt
    • Y. G. Sinai

    OriginalPaper Pages: 815 - 820

37. Localization in Infinite Billiards: A Comparison Between Quantum and Classical Ergodicity

    • Sandro Graffi
    • Marco Lenci

    OriginalPaper Pages: 821 - 830

38. Minimum Dissipation Principle in Stationary Non-Equilibrium States

    • L. Bertini
    • A. De Sole
    • C. Landim

    OriginalPaper Pages: 831 - 841

39. On the “Mean Field” Interpretation of Burgers' Equation

    • Philippe Choquard
    • Joël Wagner

    OriginalPaper Pages: 843 - 853

40. Exact Solution of 1D Asymmetric Exclusion Model with Variable Cluster Size

    • Ole J. Heilmann

    OriginalPaper Pages: 855 - 879

41. Geometric Analysis of Bifurcation and Symmetry Breaking in a Gross—Pitaevskii Equation

    • R. K. Jackson
    • M. I. Weinstein

    OriginalPaper Pages: 881 - 905

42. Total Positivity Properties of Generalized Hypergeometric Functions of Matrix Argument

    • Donald St. P. Richards

    OriginalPaper Pages: 907 - 922

43. Variational Calculation of the Period of Nonlinear Oscillators

    • Rafael Benguria
    • M. Cristina Depassier

    OriginalPaper Pages: 923 - 931

44. PDE with Random Coefficients and Euclidean Field Theory

    • Joseph G. Conlon

    OriginalPaper Pages: 933 - 958

45. Quantum Equilibrium and the Role of Operators as Observables in Quantum Theory

    • Detlef Dürr
    • Sheldon Goldstein
    • Nino Zanghì

    OriginalPaper Pages: 959 - 1055

46. Electromagnetic Field Theory Without Divergence Problems 1. The Born Legacy

    • Michael K.-H. Kiessling

    OriginalPaper Pages: 1057 - 1122

47. Electromagnetic Field Theory Without Divergence Problems 2. A Least Invasively Quantized Theory

    • Michael K.-H. Kiessling

    OriginalPaper Pages: 1123 - 1159

48. The Flux-Across-Surfaces Theorem and Zero-Energy Resonances

    • G. F. Dell'Antonio
    • G. Panati

    OriginalPaper Pages: 1161 - 1180

49. Overcoming Nonrenormalizability. Part 2

    • John R. Klauder

    OriginalPaper Pages: 1181 - 1187

50. On the Relation Between Strong Subadditivity and Entanglement

    • Heide Narnhofer
    • Walter Thirring

    OriginalPaper Pages: 1189 - 1197