论文标题
图形上无限梯子网络和迪利奇问题的有效阻抗
The effective impedances of infinite ladder networks and Dirichlet problem on graphs
论文作者
论文摘要
我们使用新方法将无限$ LC $ - 和$ CL $ - 梯子网络的有效阻抗计算为有效阻抗的有效阻抗，使用新方法，涉及精确的数学概念。这些概念与加权图上的经典差分运算符有关。作为辅助结果，我们在有限的梯子网络上解决了离散的边界值DIRICHLET问题。
We calculate effective impedances of infinite $LC$- and $CL$- ladder networks as limits of effective impedances of finite network approximations, using a new method, which involves precise mathematical concepts. These concepts are related to the classical differential operators on weighted graphs. As an auxiliary result, we solve a discrete boundary value Dirichlet problem on a finite ladder network.
