Corpus ID: 215828085

The effective impedances of infinite ladder networks and Dirichlet problem on graphs

  title={The effective impedances of infinite ladder networks and Dirichlet problem on graphs},
  author={Anna Muranova},
  journal={arXiv: Combinatorics},
  • A. Muranova
  • Published 20 April 2020
  • Mathematics, Physics
  • arXiv: Combinatorics
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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