43 citations · 108 across the 12 of their papers we have counts for
12 papers
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…
Semialgebraic interior layers in root closures of bounded-height integer polynomials
Bernat Espigule, David Juher
Finite-degree root plots of bounded-height monic integer polynomials can exhibit gaps around interior points of their root closures. Outside the closed unit disk, these closures co…
Collinear Fractals and Bandt's Conjecture
Bernat Espigule, David Juher, Joan Saldaña
For a complex parameter outside the unit disk and an integer , we examine the -ary collinear fractal , defined as the attractor of the iterated function syste…
Characterization of the tree cycles with minimum positive entropy for any period
David Juher, Francesc Mañosas, David Rojas
Consider, for any integer , the set of all -periodic tree patterns with positive topological entropy and the set of all $…
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 parameters, where is…
Saddle-node bifurcation of limit cycles in an epidemic model with two levels of awareness
David Juher, David Rojas, Joan Saldaña
In this paper we study the appearance of bifurcations of limit cycles in an epidemic model with two types of aware individuals. All the transition rates are constant except for the…