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.
สารบัญ
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.
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