The effective impedances of infinite ladder networks and Dirichlet problem on graphs
Combinatorics
2020-04-21 v1 Mathematical Physics
math.MP
Abstract
We calculate effective impedances of infinite - and - 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.
Keywords
Cite
@article{arxiv.2004.09284,
title = {The effective impedances of infinite ladder networks and Dirichlet problem on graphs},
author = {Anna Muranova},
journal= {arXiv preprint arXiv:2004.09284},
year = {2020}
}
Comments
18 pages, 10 figures