p-ADIC DIFFERENCE-DIFFERENCE LOTKA-VOLTERRA EQUATION AND ULTRA-DISCRETE LIMIT
نویسنده
چکیده
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. 2000 Mathematics Subject Classification. 35Q53, 12J20, 12H25, 81Sxx.
منابع مشابه
Difference - Difference Lotka - Volterra Equation and Ultra - Discrete Limit
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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