{"product_id":"9783642213984","title":"Lecture Notes of the Unione Matematica Italiana","description":"\u003ch1\u003eLecture Notes of the Unione Matematica Italiana\u003c\/h1\u003e \u003ch2\u003eAnandam, Victor\u003c\/h2\u003e \u003cp\u003eRandom 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 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2011-06-29\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783642213984\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-642-21399-1\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 141\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45227975344268,"sku":"9783642213984","price":44.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783642213984.jpg?v=1775746690","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783642213984","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}