5 citations · 5 across the 1 of their papers we have counts for
9 papers
Intermediate -shifts as greedy -shifts with a hole
Niels Langeveld, Tony Samuel
We show that every intermediate -transformation is topologically conjugate to a greedy -transformation with a hole at zero, and provide a counterexample illustrating that the…
Measure theoretic entropy of random substitution subshifts
Philipp Gohlke, Andrew Mitchell, Dan Rust +1
Subshifts of deterministic substitutions are ubiquitous objects in dynamical systems and aperiodic order (the mathematical theory of quasicrystals). Two of their most striking feat…
Periodic intermediate -expansions of Pisot numbers
Blaine Quackenbush, Tony Samuel, Matthew A. West
The subshift of finite type property (also known as the Markov property) is ubiquitous in dynamical systems and the simplest and most widely studied class of dynamical systems are…
Generalised Krein-Feller operators and gap diffusions via transformations of measure spaces
Marc Kesseböhmer, Aljoscha Niemann, Tony Samuel +1
We consider the generalised Krein-Feller operator with respect to compactly supported Borel probability measures and with the natural restrictions that is a…
On the continuity of entropy of Lorenz maps
Zoe Cooperband, Erin P. J. Pearse, Blaine Quackenbush +3
We consider a one parameter family of Lorenz maps indexed by their point of discontinuity and constructed from a pair of bilipschitz functions. We prove that their topological…
Diffraction of return time measures
Marc Kesseböhmer, Arne Mosbach, Tony Samuel +1
Letting denote an ergodic transformation of the unit interval and letting denote an observable, we construct the -weighted return time measure…