Francesc Mañosas

collaborators

3 papers

math.DS2026

Zero entropy cycles on trees: from Topology to Combinatorics and an application to star maps

D. Juher, F. Mañosas, D. Rojas

In this paper we give a fully combinatorial description of the zero entropy periodic patterns on trees. Unlike previously known characterizations of such patterns, our criterion is…

math.DS2023

Characterization of the tree cycles with minimum positive entropy for any period

David Juher, Francesc Mañosas, David Rojas

Consider, for any integer $n \geq 3$ , the set $Pos_{n}$ of all $n$ -periodic tree patterns with positive topological entropy and the set $Irr_{n} \subset Pos_{n}$ of all $…

math.DS2023

Entropy stability and Milnor-Thurston invariants for Bowen-Series-like maps

Ll. Alsedà, D. Juher, J. Los +1

We define a family of discontinuous maps on the circle, called Bowen-Series-like maps, for geometric presentations of surface groups. The family has $2 N$ parameters, where $2 N$ is…