David Juher

collaborators

3 papers

math.DS2026

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

D. Juher, F. MaÃ±osas, 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.DS2026

Finite capture and the closure of roots of restricted polynomials

Bernat Espigule, David Juher

We study how a countable algebraic root set passes to a fractal connectedness locus. Let $D_{n} = {- n + 1, - n + 2, \dots, n - 1}$ , and let $R_{n}$ be the set of roots of monic polynomials whos…

math.DS2024

Collinear Fractals and Bandt's Conjecture

Bernat Espigule, David Juher, Joan SaldaÃ±a

For a complex parameter $c$ outside the unit disk and an integer $n \geq 2$ , we examine the $n$ -ary collinear fractal $E (c, n)$ , defined as the attractor of the iterated function syste…