3 papers
math.DS2025
McMullen's game for equicontinuously-twisted badly approximable points in continued fractions and beta expansions
David Lambert, David Simmons, Jiajie Zheng
In a beta-transformation (for integer beta) or a Gauss map system, given a sequence of functions fn from [0,1] to itself, consider the collection of points in [0,1] whose nth itera…
physics.soc-ph2025
Urn Modeling of Random Graphs Across Granularity Scales: A Framework for Origin-Destination Human Mobility Networks
Fabio Vanni, David Lambert
We model human mobility as a combinatorial allocation process, treating trips as distinguishable balls assigned to location-bins and generating origin-destination (OD) networks. Fr…
nlin.AO2023
Detecting temporal scaling with modified diffusion entropy analysis
Garland Culbreth, Jacob Baxley, David Lambert
We present a modification to the diffusion entropy analysis method for detecting temporal scaling. Diffusion entropy analysis detects temporal scaling in a data set by converting a…