5 papers
A Political Spectrograph: High-Resolution Examinations of the United States' Ideological Landscape
David Sabin-Miller, Mary C. McGrath, Marisa C. Eisenberg
The concept of ideology is central to political discourse and dynamics, and is often cast as falling primarily on a one-dimensional scale from "left-wing/liberal" to "right-wing/co…
Data-Driven Modeling of U.S. Ideological Dynamics
David Sabin-Miller, Christopher Harding
The dynamics of political opinion are a critical component of modern society with large-scale implications for the evolution of intra- and international political discourse and pol…
Interpretation of generalized Langevin equations
David Sabin-Miller, Daniel M. Abrams
Many real-world systems exhibit ``noisy'' evolution in time; interpreting their finitely-sampled behavior as arising from continuous-time processes (in the Itô or Stratonovich sen…
Equilibrium Moment Analysis of Itô SDEs
David Sabin-Miller, Daniel M. Abrams
Stochastic differential equations have proved to be a valuable governing framework for many real-world systems which exhibit ``noise'' or randomness in their evolution. One quality…
A Mexican hat dance: clustering in Ricker-potential particle systems
David Sabin-Miller, Daniel M. Abrams
The dynamics and spontaneous organization of coupled particles is a classic problem in modeling and applied mathematics. Here we examine the behavior of particles coupled by the Ri…