Non-Degenerate Ultrametric Diffusion

General non-degenerate p-adic operators of ultrametric diffusion are introduced. Bases of eigenvectors for the introduced operators are constructed and the corresponding eigenvalues are computed. Properties of the corresponding dynamics (i.e. of the ultrametric diffusion) are investigated.

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Veröffentlicht in:arXiv.org 2004-03
Hauptverfasser: Kozyrev, S V, V Al Osipov, Avetisov, V A
Format: Artikel
Sprache:eng
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Zusammenfassung:General non-degenerate p-adic operators of ultrametric diffusion are introduced. Bases of eigenvectors for the introduced operators are constructed and the corresponding eigenvalues are computed. Properties of the corresponding dynamics (i.e. of the ultrametric diffusion) are investigated.
ISSN:2331-8422
DOI:10.48550/arxiv.0403440