\(p\)-adic path set fractals and arithmetic

DOI10.4171/JFG/2zbMath1291.11107arXiv1210.2478MaRDI QIDQ2444873

William C. Abram, Jeffrey C. Lagarias

Publication date: 11 April 2014

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2478

zbMATH Keywords

Hausdorff dimensionfinite automata\(p\)-adic arithmeticgraph-directed construction

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Symbolic dynamics (37B10) Non-Archimedean dynamical systems (11S82)

Related Items (5)

Path sets in one-sided symbolic dynamics ⋮ Hausdorff and box dimensions of self-affine sets in a locally compact non-Archimedean field ⋮ Intersections of multiplicative translates of 3-adic Cantor sets ⋮ Decimation and interleaving operations in one-sided symbolic dynamics ⋮ Solution structure of multi-layer neural networks with initial condition

Cites Work

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