From Self-Similar Groups to Self-Similar Sets and Spectra

DOI10.1007/978-3-319-18660-3_11zbMath1359.37008arXiv1503.06887OpenAlexW1658668992MaRDI QIDQ2808820

Zoran Šunić, Rostislav I. Grigorchuk, Volodymyr V. Nekrashevych

Publication date: 25 May 2016

Published in: Fractal Geometry and Stochastics V (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06887

zbMATH Keywords

Julia setsfractalsspectraself-similar setsself-similar groupsSchreier graphsamenable action

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Ergodic theorems, spectral theory, Markov operators (37A30) Fractals (28A80) Groups acting on trees (20E08) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (7)

On spectra of Koopman, groupoid and quasi-regular representations ⋮ Self-similar groups and holomorphic dynamics: renormalization, integrability, and spectrum ⋮ Unnamed Item ⋮ On irreducibility and disjointness of Koopman and quasi-regular representations of weakly branch groups ⋮ Measures and stabilizers of group Cantor actions ⋮ Graph automaton groups ⋮ Spectra of Cayley graphs of the lamplighter group and random Schrödinger operators

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