Dual-domain analysis of gun violence incidents in the United States
arXiv:2208.07093 · doi:10.1063/5.0120822
Abstract
This paper applies new and recently introduced approaches to study trends in gun violence in the United States. We use techniques in both the time and frequency domain to provide a more complete understanding of gun violence dynamics. We analyze gun violence incidents on a state-by-state basis as recorded by the Gun Violence Archive. We have numerous specific phenomena of focus, including periodicity of incidents, locations in time where behavioral changes occur, and shifts in gun violence patterns since April 2020. First, we implement a recently introduced method of spectral density estimation for nonstationary time series to investigate periodicity on a state-by-state basis, including revealing where periodic behaviors change with time. We can also classify different patterns of behavioral changes among the states. We then aim to understand the most significant shifts in gun violence since numerous key events in 2020, including the COVID-19 pandemic, lockdowns, and periods of civil unrest. Our dual-domain analysis provides a more thorough understanding and challenges numerous widely held conceptions regarding the prevalence of gun violence incidents.
Accepted manuscript. Minor edits since v1. Equal contribution
References in corpus (20)
- Social physics
- Multiscale characteristics of the emerging global cryptocurrency market
- Strong correlations between power-law growth of COVID-19 in four continents and the inefficiency of soft quarantine strategies
- Clustering patterns in efficiency and the coming-of-age of the cryptocurrency market
- Power-law distribution in the number of confirmed COVID-19 cases
- Complexity in economic and social systems: cryptocurrency market at around COVID-19
- COVID-19 second wave mortality in Europe and the United States
- Safe Leads and Lead Changes in Competitive Team Sports
- Competition of noise and collectivity in global cryptocurrency trading: route to a self-contained market
- Financial Return Distributions: Past, Present, and COVID-19
- Trends in COVID-19 prevalence and mortality: a year in review
- Anomalous Diffusion and Long-range Correlations in the Score Evolution of the Game of Cricket
- Comparing the dynamics of COVID-19 infection and mortality in the United States, India, and Brazil
- Economic state classification and portfolio optimisation with application to stagflationary environments
- Decay of distance autocorrelation and Lyapunov exponents
- Spatio-temporal trends in the propagation and capacity of low-carbon hydrogen projects
- A new measure between sets of probability distributions with applications to erratic financial behavior
- Understanding spatial propagation using metric geometry with application to the spread of COVID-19 in the United States
- Estimating a continuously varying offset between multivariate time series with application to COVID-19 in the United States
- In search of peak human athletic potential: A mathematical investigation
Cited by in corpus (9)
- Global and regional changes in carbon dioxide emissions: 1970-2019
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- Distributional trends in the generation and end-use sector of low-carbon hydrogen plants
- Geometric persistence and distributional trends in worldwide terrorism
- An exploration of the mathematical structure and behavioural biases of 21st century financial crises
- Equivalence relations and distances between time series with application to the Black Summer Australian bushfires
- Detecting imbalanced financial markets through time-varying optimization and nonlinear functionals
- Nonlinear shifts and dislocations in financial market structure and composition