48 citations · 52 across the 7 of their papers we have counts for
8 papers
From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond
Owen Barrett, Frank W. K. Firk, Steven J. Miller +1
The discovery of connections between the distribution of energy levels of heavy nuclei and spacings between prime numbers has been one of the most surprising and fruitful observati…
Analyses of Statistical Structures in Economic Indices
Frank W. K. Firk
The complex, time-dependent statistical structures observed in the Dow Jones Industrial Average on a typical trading day are modeled with Lorentzian functions. The resonant-like st…
A Multi-Level Lorentzian Analysis of the Basic Structures of the Daily DJIA
Frank W. K. Firk
A quantitative analysis of the basic components of the daily DJIA. The parameters of the underlying Lorentzian states are obtained by fitting the data. Statistical properties of th…
From Nuclear Reactions to High-Frequency Trading: an R-function Approach
Frank W. K. Firk
The R-function theory of Thomas is used to model neutron inelastic scattering and the fine, intermediate, and gross structure observed in the Dow Jones Industrial Average on a typi…
Introduction to Relativistic Collisions
Frank W. K. Firk
An introduction to relativistic collisions; analysis of electron-positron annihilation-in-flight given as a practical example.
Inelastic neutron scattering: resonances and fluctuations
Frank W. K. Firk
R-function theory of Thomas used in study of inelastic scattering of neutrons to a definite state. Onset of fluctuations, effects of randomness of phases of interfering amplitudes,…
Nuclei, Primes and the Random Matrix Connection
Frank W. K. Firk, Steven J. Miller
In this article, we discuss the remarkable connection between two very different fields, number theory and nuclear physics. We describe the essential aspects of these fields, the q…
A proof of the Gregory-Leibniz series and new series for calculating pi
Frank W. K. Firk
A non-traditional proof of the Gregory-Leibniz series, based on the relationships among the zeta function, Bernoulli coefficients, and the Laurent expansion of the cotangent is giv…