Bernat Espigulé Pons

ORCID: 0000-0002-8036-7851
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About
Contact & Profiles
Research Areas
  • Topological and Geometric Data Analysis
  • advanced mathematical theories
  • Mathematical Dynamics and Fractals
  • Cellular Automata and Applications
  • Landslides and related hazards
  • Complex Network Analysis Techniques
  • Hydrology and Sediment Transport Processes
  • Data Management and Algorithms
  • Geotechnical Engineering and Analysis

University of Girona
2024

Universidade de Vigo
2007

For a complex parameter c outside the unit disk and an integer n≥2, we examine n-ary collinear fractal E(c,n), defined as attractor of iterated function system {fk:C⟶C}k=1n, where fk(z):=1+n−2k+c−1z. We investigate some topological features connectedness locus Mn set those for which E(c,n) is connected. In particular, provide detailed answer to open question posed by Calegari, Koch, Walker in 2017. also extend refine technique “covering property” Solomyak Xu any n≥2. use it show that...

10.3390/fractalfract8120725 article EN cc-by Fractal and Fractional 2024-12-11
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