Ebook Free Download | Harmonic Functions and Potentials on Finite or Infinite Networks | Markov chains and electrical networks serves as an introduction to studying the real-valued functions on a finite or infinite graph, with the proper interpretation using probability theory and current-voltage law. The relationship between the type of function theory and (Newtonian) potential well-established theory in Euclidean space. Latter theory has many common, example of one of them is axiomatic potential theory in the local space developed by Brelot compact, with branching then from Bauer, Constantinescu and Cornea.
A network is a graph with edge-weights that need not be symmetric. This book presents an autonomous theory of harmonic functions and potentials defined on a finite or infinite network, on the lines of axiomatic potential theory. Random walks and electrical networks are important sources for the advancement of the theory.
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