2 citations · 4 across the 6 of their papers we have counts for
Showing 2026 · math.DSShow all
3 papers · 2 filters
math.DS2026
Explicit interpolations among the Sierpiński, Rauzy, and Apollonian gaskets
Bernat Espigule
We study two explicit one-parameter families organized around the affine Sierpiński gasket. The first is an affine-projective interpolation from the Sierpiński gasket to the Rauzy…
math.DS2026
Infinitely many holes in connectedness loci for collinear affine iterated function systems
Bernat Espigule
We investigate the topology of connectedness loci, denoted as , for a one-parameter family of collinear affine iterated function systems featuring equally spaced translations.…
math.DS2026
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…