Eigenvectors for a random walk on a hyperplane arrangement

DOI10.1016/j.aam.2010.09.009zbMath1242.52028arXiv1010.0232OpenAlexW1994554004MaRDI QIDQ408117

Graham Denham

Publication date: 29 March 2012

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0232

zbMATH Keywords

oriented matroidrandom walkhyperplane arrangement

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Oriented matroids in discrete geometry (52C40)

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Eigenvectors for a random walk on a left-regular band ⋮ Hopf algebras and Markov chains: two examples and a theory ⋮ Topology of arrangements and representation stability. Abstracts from the workshop held January 14--20, 2018 ⋮ Unified theory for finite Markov chains ⋮ Foulkes characters, Eulerian idempotents, and an amazing matrix ⋮ Spectra of Symmetrized Shuffling Operators

Cites Work

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• Eigenvectors for a random walk on a left-regular band
• The equivariant Orlik-Solomon algebra
• Heaviside functions of a configuration of hyperplanes
• Arrangements of hyperplanes and Lie algebra homology
• Random walks and hyperplane arrangements
• Semigroups, rings, and Markov chains
• Bilinear form of real configuration of hyperplanes
• A combinatorial description of the spectrum for the Tsetlin library and its generalization to hyperplane arrangements
• Lectures on Polytopes
• On Zonotopes
• The Orlik-Solomon complex and Milnor fibre homology

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