3 papers
math.CA2025
The Peano-Baker series
Michael Baake, Ulrike Schlaegel
This note reviews the Peano-Baker series and its use to solve the general linear system of ODEs. The account is elementary and self-contained, and is meant as a pedagogic introduct…
math.DS2025
Power-free points in quadratic number fields: Stabiliser, dynamics and entropy
Michael Baake, Alvaro Bustos, Andreas Nickel
The sets of -free integers in general quadratic number fields are studied, with special emphasis on (extended) symmetries and their impact on the topological dynamical systems i…
math.DS2025
Dynamics and topology of the Hat family of tilings
Michael Baake, Franz Gähler, Lorenzo Sadun
The recently discovered Hat tiling admits a 4-dimensional family of shape deformations, including the 1-parameter family already known to yield alternate monotiles. The continuous…