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math-ph2025
From pinned billiard balls to partial differential equations
Krzysztof Burdzy, Jeremy G. Hoskins, Stefan Steinerberger
We discuss the propagation of kinetic energy through billiard balls fixed in place along a one-dimensional segment. The number of billiard balls is assumed to be large but finite a…
math-ph2024
Integral formulation of Klein-Gordon singular waveguides
Guillaume Bal, Jeremy Hoskins, Solomon Quinn +1
We consider the analysis of singular waveguides separating insulating phases in two-space dimensions. The insulating domains are modeled by a massive Schrödinger equation and the…