非对称圆模式与可积系统。具有恒定角度的图案
Hexagonal Circle Patterns and Integrable Systems. Patterns with Constant Angles
摘要：
介绍并研究了具有等交角的六角圆图案。证明了它们可用Toda型离散可积系统描述。共形对称模式进行分类。构造了全纯映射$z^c$和$\log z$的圆模式模拟作为特殊的等单径解.本文所研究的圆模式包括Schramm圆模式和正方形网格的组合学模式。
英文摘要：
Hexagonal circle patterns with constant intersection angles are introduced and studied. It is shown that they are described by discrete integrable systems of Toda type. Conformally symmetric patterns are classified. Circle pattern analogs of holomorphic mappings $z^c$ and $\log z$ are constructed as special isomonodromic solutions. Circle patterns studied in the paper include Schramm's circle patterns with the combinatorics of the square grid as a special case.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
