Lowner equations and dispersionless hierarchies
Lowner equations and dispersionless hierarchies
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DOI：
10.1088/0305-4470/39/37/010
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发表时间：
2006-09-15
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影响因子：
--
通讯作者：
Zabrodin, Anton
中科院分区：
文献类型：
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作者：
Takebe, Takashi;Teo, Lee-Peng;Zabrodin, Anton
利用无色散dKP和dToda族的Hirota表示，我们证明了弦Lowner方程和径向Lowner方程分别作为这些可积族的单变量约化的相容性条件.我们还澄清了这一结果的几何意义，将其与正常随机矩阵的特征值分布在大N极限。
Using the Hirota representation of dispersionless dKP and dToda hierarchies, we show that the chordal Lowner equations and radial Lowner equations respectively serve as consistency conditions for one-variable reductions of these integrable hierarchies. We also clarify the geometric meaning of this result by relating it to the eigenvalue distribution of normal random matrices in the large N limit.