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math.CO2019★ 11 cited
On the effective impedance of finite and infinite networks
Anna Muranova
In this paper we deal with the notion of the effective impedance of AC networks consisting of resistances, coils and capacitors. Mathematically such a network is a locally finite g…
math.SP2019★ 7 cited
Effective Impedance over Ordered Fields
Anna Muranova
In this paper, we study properties of effective impedance of finite electrical networks and calculate the effective impedance of a finite ladder network over an ordered field. More…
math.CO2019★ 9 cited
On the notion of effective impedance
Anna Muranova
It is known that electrical networks with resistors are related to the Laplace operator and random walk on weighted graphs. In this paper we consider more general electrical networ…