On the spectrum of the hierarchical Laplacian

DOI10.1007/s11118-014-9409-6zbMath1306.47083arXiv1308.4883OpenAlexW2146470784WikidataQ59398975 ScholiaQ59398975MaRDI QIDQ471060

Paweł Krupski, Alexander D. Bendikov

Publication date: 13 November 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.4883

zbMATH Keywords

spectrumultrametric\(p\)-adic quantum theoryhierarchical Laplacian

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Markov semigroups and applications to diffusion processes (47D07) Compact (locally compact) metric spaces (54E45) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Related Items

Reaction-diffusion equations on complex networks and Turing patterns, via \(p\)-adic analysis, Hierarchical Schrödinger operators with singular potentials, Poisson approximation related to spectra of hierarchical Laplacians, On the rate of convergence in the central limit theorem for hierarchical Laplacians, Oscillating heat kernels on ultrametric spaces, Poisson statistics of eigenvalues in the hierarchical Dyson model, Heat kernels for isotropic-like Markov generators on ultrametric spaces: a survey, Hierarchical Schrödinger Type Operators: The Case of Locally Bounded Potentials

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