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Harmonic Functions and Potentials on Finite or Infinite Networks
Victor Anandam
€ 61.37
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Description for Harmonic Functions and Potentials on Finite or Infinite Networks
Paperback. Random walks, Markov chains and electrical networks serve as an introduction to the study of real-valued functions on finite or infinite graphs, with appropriate interpretations using probability theory and current-voltage laws. This book presents an autonomous theory of harmonic functions and potentials defined on a finite or infinite network. Series: Lecture Notes of the Unione Matematica Italiana. Num Pages: 151 pages, biography. BIC Classification: PBKD; PBKJ; PBWL. Category: (P) Professional & Vocational. Dimension: 241 x 187 x 10. Weight in Grams: 248.
Random walks, Markov chains and electrical networks serve as an introduction to the study of real-valued functions on finite or infinite graphs, with appropriate interpretations using probability theory and current-voltage laws. The relation between this type of function theory and the (Newton) potential theory on the Euclidean spaces is well-established. The latter theory has been variously generalized, one example being the axiomatic potential theory on locally compact spaces developed by Brelot, with later ramifications 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 ... Read more
Random walks, Markov chains and electrical networks serve as an introduction to the study of real-valued functions on finite or infinite graphs, with appropriate interpretations using probability theory and current-voltage laws. The relation between this type of function theory and the (Newton) potential theory on the Euclidean spaces is well-established. The latter theory has been variously generalized, one example being the axiomatic potential theory on locally compact spaces developed by Brelot, with later ramifications 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 ... Read more
Product Details
Format
Paperback
Publication date
2011
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
151
Condition
New
Series
Lecture Notes of the Unione Matematica Italiana
Number of Pages
141
Place of Publication
Berlin, Germany
ISBN
9783642213984
SKU
V9783642213984
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Harmonic Functions and Potentials on Finite or Infinite Networks
From the reviews: “In this book a potential-theoretic style of the theory is built into the framework of finite or infinite networks. The motivation of the book is to build a function theory on networks reflecting ideas of potential theory on locally compact spaces. … The book is written in a reader-friendly way and contains various potential-theoretic results … ... Read more