2 papers
math.DS2026
Tameness, nullness, and amorphic complexity of automatic systems
Maik Gröger, Elżbieta Krawczyk
In topological dynamics, tame and null systems arise naturally in the study of low-complexity aperiodic behaviour, yet providing concrete and easily testable conditions to establis…
math.NT2023
Rational approximations, multidimensional continued fractions and lattice reduction
Valerie Berthé, Karma Dajani, Charlene Kalle +3
We first survey the current state of the art concerning the dynamical properties of multidimensional continued fraction algorithms defined dynamically as piecewise fractional maps…