4 citations · 6 across the 6 of their papers we have counts for
6 papers · 1 filter
Topological entropy, homological growth and zeta functions on graphs
João F. Alves, Roman Hric, José Sousa Ramos
In connection with the Entropy Conjecture it is known that the topological entropy of a continuous graph map is bounded from below by the spectral radius of the induced map on the…
Irreducible complexity of iterated symmetric bimodal maps
J. P. Lampreia, R. Severino, J. Sousa Ramos
We introduce a tree structure for the iterates of symmetric bimodal maps and identify a subset which we prove to be isomorphic to the family of unimodal maps. This subset is used a…
Bowen-Franks groups as conjugacy invariants for automorphisms
P. Martins Rodrigues, J. Sousa Ramos
The role of generalized Bowen-Franks groups (BF-groups) as topological conjugacy invariants for automorphisms is studied. Using algebraic number theory, a link is…
Weighted kneading theory of unidimensional maps with holes
J. Leonel Rocha, J. Sousa Ramos
The purpose of this paper is to present a weighted kneading theory for unidimensional maps with holes. We consider extensions of the kneading theory of Milnor and Thurston to expan…
Kneading Theory for Triangular Maps
Diana A. Mendes, J. Sousa Ramos
The main purpose of this paper is to present a kneading theory for two-dimensional triangular maps. This is done by defining a tensor product between the polynomials and matrices c…
K-theory for Cuntz-Krieger algebras arising from real quadratic maps
Nuno Martins, Ricardo Severino, J. Sousa Ramos
We compute the -groups for the Cuntz-Krieger algebras , where is the Markov transition matrix arising from the \textit…