3 citations · 4 across the 4 of their papers we have counts for
5 papers
Polynomial shape adic systems are inherently expansive
Sarah Frick, Karl Petersen, Sandi Shields
To study any dynamical system it is useful to find a partition that allows essentially faithful encoding (injective, up to a small exceptional set) into a subshift. Most topologica…
Density of group languages in shift spaces
Valérie Berthé, Herman Goulet-Ouellet, Carl-Fredrik Nyberg-Brodda +2
The density of a rational language can be understood as the frequency of some pattern in the shift space, for example a pattern like "words with an even number of a given letter."…
Asymptotic pressure on some self-similar trees
Karl Petersen, Ibrahim Salama
The vertices of the Cayley graph of a finitely generated semigroup form a set of sites which can be labeled by elements of a finite alphabet in a manner governed by a nonnegative r…
The Euler adic dynamical system and path counts in the Euler graph
K. Petersen, A. Varchenko
We give a formula for generalized Eulerian numbers, prove monotonicity of sequences of certain ratios of the Eulerian numbers, and apply these results to obtain a new proof that th…
Symmetric Gibbs measures
Karl Petersen, Klaus Schmidt
We prove that certain Gibbs measures on subshifts of finite type are nonsingular and ergodic for certain countable equivalence relations, including the orbit relation of the adic t…