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.
Tabla de materias
Federico Camia, Daniel Stein: Newman’s contribution to Mathematics.-
Diego Alberici, Pierluigi Contucci, Emanuele Mingione: Mean-Field Monomer-Dimer models. A review.-
Louis-Pierre Arguin, Warren Tai: Is the Riemann zeta function in a short interval a 1-RSB spin glass?.-
Jeremiah Birrell, Jan Wehr: A homogenization theorem for Langevin sys- tems with an application to Hamiltonian dynamics.-
R. Bissacot, E.O. Endo, A.C.D. van Enter, B. Kimura, A. Le Ny, W.M. Ruszel: Dyson models under renormalization and in weak fields.-
Radu Dascaliuc, Nicholas Michalowski, Enrique Thomann, Edward C. Waymire: Complex Burgers Equation: A probabilistic perspective.-
Jeffrey Gertler, Jonathan Machta: Absence of Chaotic Size Dependence for Spin Glasses on Hierarchical Lattices.-
Satoshi Handa, Markus Heydenreich, Akira Sakai: Mean-field bound on the 1-arm exponent for Ising ferromagnets in high dimensions.-
Dmitry Ioffe, Senya Shlosman: Formation of facets for an effective model of crystal growth.-
Ron Peled, Yinon Spinka: Lectures on the Spin and Loop O(n) Models.-
Daniel L. Stein: Nature vs. Nurture in Discrete Spin Dynamics.