Email this article Invariant ultrametrics and Markov processes on the finite adèle ring of ℚ
- Authors: Cruz-López M.1, Estala-Arias S.1
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Affiliations:
- Departamento de Matemáticas
- Issue: Vol 8, No 2 (2016)
- Pages: 89-114
- Section: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/200597
- DOI: https://doi.org/10.1134/S2070046616020011
- ID: 200597
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Abstract
This article introduces several rotation and additive invariant ultrametrics on the finite adèle ring Af of the rational numbers ℚ. Symmetry, regularity and uniqueness properties of these ultrametrics are provided. With these non-Archimedean metrics at hand it is possible to define a wide class of rotation and additive invariant Markov processes on Af.
About the authors
M. Cruz-López
Departamento de Matemáticas
Author for correspondence.
Email: manuelcl@ugto.mx
Mexico, Guanajuato, Gto. C.P., 36240
S. Estala-Arias
Departamento de Matemáticas
Email: manuelcl@ugto.mx
Mexico, Libramiento Norponiente No. 2000, Fracc. Real de Juriquilla, Quéretaro, Qro. C.P., 76230
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