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

solv-int 2007-05-23 v2 Exactly Solvable and Integrable Systems

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 pp-adic valuation space.

Cite

@article{arxiv.solv-int/9906011,
  title  = {p-adic Difference-Difference Lotka-Volterra Equation and Ultra-Discrete Limit},
  author = {Shigeki Matsutani},
  journal= {arXiv preprint arXiv:solv-int/9906011},
  year   = {2007}
}

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AMS-Tex Use. Title changes

R2 v1 2026-07-22T20:09:10.451Z