122 citations · 237 across the 3 of their papers we have counts for
3 papers
Statistical properties of determinantal point processes in high-dimensional Euclidean spaces
A. Scardicchio, C. E. Zachary, S. Torquato
The goal of this paper is to quantitatively describe some statistical properties of higher-dimensional determinantal point processes with a primary focus on the nearest-neighbor di…
Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory
Salvatore Torquato, A. Scardicchio, Chase E Zachary
It is well known that one can map certain properties of random matrices, fermionic gases, and zeros of the Riemann zeta function to a unique point process on the real line. Here we…
Gaussian core model phase diagram and pair correlations in high Euclidean dimensions
Chase E. Zachary, Frank H. Stillinger, Salvatore Torquato
The physical properties of a classical many-particle system with interactions given by a repulsive Gaussian pair potential are extended to arbitrarily high Euclidean dimensions. Th…