p-adic Difference-Difference Lotka-Volterra Equation and Ultra-Discrete Limit

Shigeki Matsutani

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p-adic Difference-Difference Lotka-Volterra Equation and Ultra-Discrete Limit

Shigeki Matsutani

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Abstract

In this article, we have studied the difference-difference Lotka-Volterra equations in p-adic number space and its p-adic valuation version. We pointed 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.

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Shigeki Matsutani. 2000-01-09. p-adic Difference-Difference Lotka-Volterra Equation and Ultra-Discrete Limit. https://arxiv.org/abs/solv-int/9906011

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