25 citations · 25 across the 3 of their papers we have counts for
4 papers
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…
Entropy on regular trees
Karl Petersen, Ibrahim Salama
We show that the limit in our definition of tree shift topological entropy is actually the infimum, as is the case for both the topological and measure-theoretic entropies in the c…
Tree shift topological entropy
Karl Petersen, Ibrahim Salama
We give a definition of topological entropy for tree shifts, prove that the limit in the definition exists, and show that it dominates the topological entropy of the associated one…
Ergodicity of the adic transformation on the Euler graph
Sarah Bailey, Michael Keane, Karl Petersen +1
The Euler graph has vertices labelled (n,k) for n=0,1,2,... and k=0,1,...,n, with k+1 edges from (n,k) to (n+1,k) and n-k+1 edges from (n,k) to (n+1,k+1). The number of paths from…