Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory

Mathematics

• Random Matrix Theory 80%
• Point Process 67%
• Number theory 65%
• Gas 60%
• Arbitrary 33%
• Sphere packing 33%
• Correlation Function 16%
• Coverage 16%
• Euclidean space 13%
• Structure Factor 12%
• Pair Correlation Function 11%
• Poisson Point Process 10%
• Power Spectrum 10%
• Wavelength 9%
• Cavity 8%
• Ground State 8%
• Nearest Neighbor 8%
• Decay Rate 8%
• Square root 8%
• Random Matrices 8%
• Power Law 8%
• Fluctuations 7%
• Riemann zeta function 7%
• Real Line 7%
• Vanish 6%
• Distribution Function 6%
• Graphics 6%
• High-dimensional 6%
• Radius 6%
• Tend 6%
• Dependent 5%
• Imply 5%
• Demonstrate 4%
• Zero 4%
• Generalization 4%

Physics & Astronomy

• number theory 100%
• matrix theory 77%
• Euclidean geometry 56%
• gases 33%
• decay rates 21%
• unity 19%
• power spectra 19%
• distribution functions 17%
• ground state 14%
• radii 13%
• cavities 13%
• wavelengths 10%

Business & Economics

• Random Matrix Theory 95%
• Point Process 91%
• Gas 52%
• Particles 13%
• Nearest Neighbor 9%
• Power Law 8%
• Decay 7%
• Distribution Function 7%
• Fluctuations 7%
• Matrix 6%
• Nature 5%
• Factors 2%