Infinite Electrical Networks
Infinite Electrical Networks

Author: Armen H. Zemanian

Publisher: Cambridge University Press

Published: 1991-11-29

Total Pages: 328

ISBN-13: 0521401534

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This book presents the salient features of the general theory of infinite electrical networks in a coherent exposition.

Potential Theory on Infinite Networks
Potential Theory on Infinite Networks

Author: Paolo M. Soardi

Publisher: Springer

Published: 2006-11-15

Total Pages: 199

ISBN-13: 3540487980

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The aim of the book is to give a unified approach to new developments in discrete potential theory and infinite network theory. The author confines himself to the finite energy case, but this does not result in loss of complexity. On the contrary, the functional analytic machinery may be used in analogy with potential theory on Riemann manifolds. The book is intended for researchers with interdisciplinary interests in one of the following fields: Markov chains, combinatorial graph theory, network theory, Dirichlet spaces, potential theory, abstract harmonic analysis, theory of boundaries.

Infinite Electrical Networks and Transistor Modeling
Infinite Electrical Networks and Transistor Modeling

Author: Armen H. Zemanian

Publisher:

Published: 1982

Total Pages: 8

ISBN-13:

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The theory and applications of infinite electrical networks are investigated. Methods were devised for computing the currents and voltages in uniform and non-uniform, grounded and ungrounded semi-infinite electrical grids. These results wre applied to the numerical simulation of bipolar transistors and to the computational techniques arising in geophysical exploration. A complete and rigorous theory for infinite lumped transmission lines was at last achieved by closing a long-standing lacuna, and this was extended to ladder networks whose parameters are operators on a Hilbert space. A parametric representation for a general class of linear time-varying systems was devised. A new matroid for a certain class of infinite graphs was discovered. (Author).