3 papers
math.DS2025
Linear Relations of Finite Length Modules are Shift Equivalent to Maps
Bartosz Furmanek, Filip Oskar Åanecki, Mateusz Przybylski +1
Linear relations, defined as submodules of the direct sum of two modules, can be viewed as objects that carry dynamical information and reflect the inherent uncertainty of sampled…
math.DS2024
A generalization of the Brouwer plane translation theorem
Jim Wiseman
We show that if an orientation-preserving homeomorphism of the plane has a topologically chain recurrent point, then it has a fixed point, generalizing the Brouwer plane translatio…
math.DS2024
A Complete Invariant for Shift Equivalence for Boolean Matrices and Finite Relations
Ethan Akin, Marian Mrozek, Mateusz Przybylski +1
We give a complete invariant for shift equivalence for Boolean matrices (equivalently finite relations), in terms of the period, the induced partial order on recurrent components,…