{"product_id":"harmonic-functions-and-potentials-on-finite-or-infinite-networks-von-victor-anandam","title":"Harmonic Functions and Potentials on Finite or Infinite Networks","description":"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 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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783642213984\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783642213984","offer_id":40571083685981,"sku":"9783642213984","price":37.4,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/5a49ec8c-7beb-4f0b-9763-e3b972023cbf.jpg?v=1772172325","url":"https:\/\/shop.autorenwelt.de\/en\/products\/harmonic-functions-and-potentials-on-finite-or-infinite-networks-von-victor-anandam","provider":"Autorenwelt Shop","version":"1.0","type":"link"}