On p-adic mathematical physics
نویسندگان
چکیده
منابع مشابه
On p-Adic Mathematical Physics
A brief review of some selected topics in p-adic mathematical physics is presented. DOI: 10.1134/S2070046609010014
متن کامل2 00 9 On p - Adic Mathematical Physics
A brief review of some selected topics in p-adic mathematical physics is presented. 1 Numbers: Rational, Real, p-Adic We present a brief review of some selected topics in p-adic mathematical physics. More details can be found in the references below and the other references are mainly contained therein. We hope that this brief introduction to some aspects of p-adic mathematical physics could be...
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p-Adic mathematical physics is a branch of modern mathematical physics based on the application of p-adic mathematical methods in modeling physical and related phenomena. It emerged in 1987 as a result of efforts to find a non-Archimedean approach to the spacetime and string dynamics at the Planck scale, but then was extended to many other areas including biology. This paper contains a brief re...
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The field $Q_{p}$ of $p$-adic numbers is defined as the completion of the field of the rational numbers $Q$ with respect to the $p$-adic norm $|.|_{p}$. In this paper, we study the continuous and discrete $p-$adic shearlet systems on $L^{2}(Q_{p}^{2})$. We also suggest discrete $p-$adic shearlet frames. Several examples are provided.
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A p-adic modification of the split-LBG classification method is presented in which first clusterings and then cluster centers are computed which locally minimise an energy function. The outcome for a fixed dataset is independent of the prime number p with finitely many exceptions. The methods are applied to the construction of p-adic classifiers in the context of learning.
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ژورنال
عنوان ژورنال: P-Adic Numbers, Ultrametric Analysis, and Applications
سال: 2009
ISSN: 2070-0466,2070-0474
DOI: 10.1134/s2070046609010014