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- 件名ultradiscretization tropical geometry theta functions plane cubic curve discrete dynamical systems
- 関連情報Kyushu Journal of Mathematics || 63(2) || p315-338 http://www2.math.kyushu-u.ac.jp/~kjm/
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- 要約等We present a solvable two-dimensional piecewise linear chaotic map that arises from the duplication map of a certain tropical cubic curve. Its general solution is c......nstructed by means of the ultradiscrete theta function. We show that the map is derived by the ultradiscretization of the duplication map associated with the Hesse cubic curve. We also show that it is possible to obtain the non-trivial ultradiscrete limit of the solution in spite of a problem known as ‘the minus-sign problem.’
- 標準番号（その他）https://hdl.handle.net/2324/16543
- 件名ultradiscretization tropical geometry theta functions plane cubic curve discrete dynamical systems
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