p -adic difference-difference Lotka-Volterra equation and ultra-discrete limit

Shigeki Matsutani

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-10

Abstract:

We study the difference-difference Lotka-Volterra equations in p -adic number space and its p -adic valuation version. We point out that the structure of the space given by taking the ultra-discrete limit is the same as that of the p -adic valuation space. Since ultra-discrete limit can be regarded as a classical limit of a quantum object, it implies that a correspondence between classical and quantum objects might be associated with valuation theory.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:549451

DOI: 10.1155/S0161171201010808

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