2.2k citations
- Princeton UniversityUS68 papers
- Harvard UniversityUS25 papers
- Albert Einstein College of MedicineUS24 papers
- California Institute of TechnologyUS20 papers
- University of California, Santa CruzUS20 papers
- Center for Astrophysics Harvard & SmithsonianUS19 papers
- University of OxfordGB19 papers
- University of California, BerkeleyUS16 papers
- University of Wisconsin–MadisonUS14 papers
- Leiden UniversityNL13 papers
- European Southern ObservatoryCL12 papers
- Yale UniversityUS12 papers
4 papers · 2 filters
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…
Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials
Robert D. Batten, Frank H. Stillinger, Salvatore Torquato
Using a collective coordinate numerical optimization procedure, we construct ground-state configurations of interacting particle systems in various space dimensions so that the sca…