11 citations · 27 across the 7 of their papers we have counts for
9 papers
Topological Speedups For Minimal Cantor Systems
Drew D. Ash, Nicholas Ormes
In this paper we study speedups of dynamical systems in the topological category. Specifically, we characterize when one minimal homeomorphism on a Cantor space is the speedup of a…
On the complexity function for sequences which are not uniformly recurrent
Nic Ormes, Ronnie Pavlov
We prove that every non-minimal transitive subshift satisfying a mild aperiodicity condition satisfies , and give a class of examples which show…
Subsystems of transitive subshifts with linear complexity
Andrew Dykstra, Nicholas Ormes, Ronnie Pavlov
We bound the number of distinct minimal subsystems of a given transitive subshift of linear complexity, continuing work of Ormes and Pavlov [7]. We also bound the number of generic…
Bounded Topological Speedups
Lori Alvin, Drew D. Ash, Nicholas S. Ormes
This paper explores the range of bounded speedups in the topological category. Bounded speedups represent both a strengthening of topological speedups as defined in [A 16] and a ge…
Self-Induced Systems
Fabien Durand, Nicholas Ormes, Samuel Petite
A minimal Cantor system is said to be self-induced whenever it is conjugate to one of its induced systems. Substitution subshifts and some odometers are classical examples, and we…
Powers and alternative laws
Nicholas Ormes, Petr Vojtěchovský
A groupoid is alternative if it satisfies the alternative laws and . These laws induce four partial maps on , $(r,\,s)\m…
Subshifts with Slowly Growing Numbers of Follower Sets
Thomas French, Nic Ormes, Ronnie Pavlov
For any subshift, define to be the collection of distinct follower sets of words of length in . Based on a similar result of the second and third authors, we conjec…
C*-Algebraic Characterization of Bounded Orbit Injection Equivalence for Minimal Free Cantor Systems
Frederic Latremoliere, Nicholas Ormes
Bounded orbit injection equivalence is an equivalence relation defined on minimal free Cantor systems which is a candidate to generalize flip Kakutani equivalence to actions of the…
A Homeomorphism Invariant for Substitution Tiling Spaces
Nic Ormes, Charles Radin, Lorenzo Sadun
We derive a homeomorphism invariant for those tiling spaces which are made by rather general substitution rules on polygonal tiles, including those tilings, like the pinwheel, whic…