Sojourns in Probability Theory and Statistical Physics - I - Spin Glasses and Statistical Mechanics, A Festschrift for Charles M. Newman

Description

Charles M. (Chuck) Newman has been a leader in Probability Theory and Statistical Physics for nearly half a century. This three-volume set is a celebration of the far-reaching scientific impact of his work. It consists of articles by Chuck’s collaborators and colleagues across a number of the fields to which he has made contributions of fundamental significance. This publication was conceived during a conference in 2016 at NYU Shanghai that coincided with Chuck's 70th birthday. The sub-titles of the three volumes are: I. Spin Glasses and Statistical Mechanics II. Brownian Web and Percolation III. Interacting Particle Systems and Random Walks The articles in these volumes, which cover a wide spectrum of topics, will be especially useful for graduate students and researchers who seek initiation and inspiration in Probability Theory and Statistical Physics. Front Matter ....Pages i-x Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman (Federico Camia, Daniel L. Stein)....Pages 1-38 Mean-Field Monomer-Dimer Models. A Review (Diego Alberici, Pierluigi Contucci, Emanuele Mingione)....Pages 39-62 Is the Riemann Zeta Function in a Short Interval a 1-RSB Spin Glass? (Louis-Pierre Arguin, Warren Tai)....Pages 63-88 A Homogenization Theorem for Langevin Systems with an Application to Hamiltonian Dynamics (Jeremiah Birrell, Jan Wehr)....Pages 89-122 Dyson Models Under Renormalization and in Weak Fields (Rodrigo Bissacot, Eric O. Endo, Aernout C. D. van Enter, Bruno Kimura, Arnaud Le Ny, Wioletta M. Ruszel)....Pages 123-137 Complex Burgers Equation: A Probabilistic Perspective (Radu Dascaliuc, Nicholas Michalowski, Enrique Thomann, Edward C. Waymire)....Pages 138-170 Absence of Chaotic Size Dependence for Spin Glasses on Hierarchical Lattices (Jeffrey Gertler, Jonathan Machta)....Pages 171-182 Mean-Field Bound on the 1-Arm Exponent for Ising Ferromagnets in High Dimensions (Satoshi Handa, Markus Heydenreich, Akira Sakai)....Pages 183-198 Formation of Facets for an Effective Model of Crystal Growth (Dmitry Ioffe, Senya Shlosman)....Pages 199-245 Lectures on the Spin and Loop O(n) Models (Ron Peled, Yinon Spinka)....Pages 246-320 Nature vs. Nurture in Discrete Spin Dynamics (Daniel L. Stein)....Pages 321-338