电网络的扭转映射与逆问题
The twist for electrical networks and the inverse problem
AI总结：
本文通过构造正格拉斯曼流形扭转映射的电网络版本，用更典范的$B$变量普法夫式表示电导，解决了从响应矩阵恢复电导的逆问题。
摘要：
我们构造了正格拉斯曼流形的扭转映射的电网络版本，并利用它来解决从响应矩阵恢复电导的逆问题。每个电导都表示为普法夫式的双比值，如同Kenyon和Wilson的逆映射中那样；然而，我们的普法夫式是更为典范的$B$变量，而非他们的三脚架变量，并且是Henriques和Speyer所研究的正正交格拉斯曼流形上的坐标。
英文摘要：
We construct an electrical-network version of the twist map for the positive Grassmannian, and use it to solve the inverse problem of recovering conductances from the response matrix. Each conductance is expressed as a biratio of Pfaffians as in the inverse map of Kenyon and Wilson; however, our Pfaffians are the more canonical $B$ variables instead of their tripod variables, and are coordinates on the positive orthogonal Grassmannian studied by Henriques and Speyer.
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。
