Limit theorems for \(p\)-adic valued asymmetric semistable laws and processes

DOI10.1134/S207004661701006XzbMath1381.60090OpenAlexW2586318366MaRDI QIDQ2628722

Kumi Yasuda

Publication date: 2 June 2017

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s207004661701006x

zbMATH Keywords

semistable law\(p\)-adic fieldsemistable processsum of i.i.d.

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Central limit and other weak theorems (60F05) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Stable stochastic processes (60G52) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (1)

\(p\)-adic mathematical physics: the first 30 years

Cites Work

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• Estimates of convergence rates to stable distributions on \(\mathbb{Q}_p\)
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• Basic number theory.
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• On the asymptotic growth rate of the sum of \(p\)-adic-valued independent identically distributed random variables
• Diffusion on locally compact ultrametric spaces.
• The $ p$-adic law of large numbers

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