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

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  • Shigeki Matsutani

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.

Suggested Citation

  • Shigeki Matsutani, 2001. "p -adic difference-difference Lotka-Volterra equation and ultra-discrete limit," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 27, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:549451
    DOI: 10.1155/S0161171201010808
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