5 papers
On the diffraction spectrum of the set of visible points in lattices and certain cut-and-project sets
Rishi Kumar, Carlos Ospina
Let be a positive integer. It is known that the set of visible lattice points from the origin in has a translation bounded pure point diffraction spectrum.…
Coboundaries of 3-IETs
Przemysław Berk, Carlos Ospina
In this note, we investigate coboundaries of interval exchange transformations of three intervals, or 3-IETs. More precisely, we study differentiable functions whose derivative is…
Some real {Rel} trajectories in that are not recurrent
Carlos Ospina
We study the real Rel orbits of certain translation surfaces in the stratum , specifically surfaces that are tremors of the locus of branched double covers of tor…
Slow entropy and variational dynamical systems
Minhua Cheng, Carlos Ospina, Kurt Vinhage +1
We define variational properties for dynamical systems with subexponential complexity, and study these properties in certain specific examples. By computing the value of slow entro…
Thurston's Theorem: Entropy in Dimension One
Ryan Dickmann, George Domat, Thomas Hill +4
In his paper, Thurston shows that a positive real number is the topological entropy for an ergodic traintrack representative of an outer automorphism of a free group if and onl…