2 papers
cond-mat.dis-nn2025
Line defects in infinite networks of resistors
Róbert Németh, József Cserti, Gábor Széchenyi
We study infinite resistor networks perturbed by line defects, in which the resistances are periodically modified along a single line. Using the Sherman-Morrison identity applied t…
math-ph2025
General theory of perturbation of infinite resistor networks
József Cserti, Gyula Dávid
The effective resistance between any two nodes in a perturbed resistor network is determined by removing multiple bonds from an infinite resistor lattice. We have developed an effi…