Accepted Paper

The Effective Impedances of Infinite Ladder Networks and Dirichlet Problem on Graphs

A. Muranova
Faculty of Mathematics and Computer Science, University of Warmia and Mazury, ul. Sloneczna 54, 10-710 Olsztyn, Poland
Abstract. 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.

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