3 citations · 4 across the 4 of their papers we have counts for
5 papers
Modularity, asymmetry, and polarization shape consensus speed in the voter model
Madi Yerlanov, Zachary Kilpatrick, Nancy Rodriguez
In populations with community structure, the formation of consensus requires both alignment within and diffusion of beliefs across groups, processes that evolve on distinct time sc…
A study of general reaction-advection-diffusion equations describing dynamics between target, partaker, and guardian
Madi Yerlanov, Nancy Rodriguez
This paper introduces a reaction-advection-diffusion system that models interactions among three actors: a target, a partaker, and a guardian. The framework is versatile, capturing…
Global Bifurcations and Pattern Formation in Target-Offender-Guardian Crime Models
Madi Yerlanov, Qi Wang, Nancy Rodriguez
We study a reaction-advection-diffusion model of a target-offender-guardian system designed to capture interactions between urban crime and policing. Using Crandall-Rabinowitz bifu…
Algebraic sets defined by the commutator matrix
Zhibek Kadyrsizova, Madi Yerlanov
In this paper we study algebraic sets of pairs of matrices defined by the vanishing of either the diagonal of their commutator matrix or its anti-diagonal. We find a system of para…
Regularity properties of Schrödinger integral operators and general oscillatory integrals
Alejandro J. Castro, Anders Israelsson, Wolfgang Staubach +1
We introduce the notion of Schrödinger integral operators and prove sharp local and global regularity results for these (including propagators for the quantum mechanical harmonic o…