On the eigenspaces of lamplighter random walks and percolation clusters on graphs

DOI10.1090/S0002-9939-09-09869-4zbMath1179.60069arXiv0805.0867MaRDI QIDQ5322857

Franz Lehner

Publication date: 23 July 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.0867

zbMATH Keywords

percolationspectral measurelamplighter random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Spectrum, resolvent (47A10) Measures on groups and semigroups, etc. (43A05)

Cites Work

• Spectral computations on lamplighter groups and Diestel-Leader graphs
• On the spectrum of lamplighter groups and percolation clusters
• On a question of Atiyah

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