Canonical self-affine tilings by iterated function systems

DOI10.1512/iumj.2007.56.3220zbMath1143.28006arXivmath/0606111OpenAlexW1975888955MaRDI QIDQ5452341

Erin P. J. Pearse

Publication date: 26 March 2008

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606111

zbMATH Keywords

zeta functioniterated function systemtube formulafractal Steiner formulacomplex dimension

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Polytopes and polyhedra (52B99) Length, area and volume in real or complex geometry (51M25) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

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