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001 978-3-540-48798-2
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008 121227s1994 gw | s |||| 0|eng d
020 _a9783540487982
_9978-3-540-48798-2
024 7 _a10.1007/BFb0073995
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aMAT029000
_2bisacsh
072 7 _aPBT
_2thema
072 7 _aPBWL
_2thema
082 0 4 _a519.2
_223
100 1 _aSoardi, Paolo M.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aPotential Theory on Infinite Networks
_h[electronic resource] /
_cby Paolo M. Soardi.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1994.
300 _aVIII, 196 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1590
505 0 _aKirchhoff's laws -- Finite networks -- Currents and potentials withfinite energy -- Uniqueness and related topics -- Some examples and computations -- Royden's compactification -- Rough isometries.
520 _aThe 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.
650 0 _aDistribution (Probability theory.
650 0 _aCombinatorics.
650 0 _aPotential theory (Mathematics).
650 1 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aCombinatorics.
_0http://scigraph.springernature.com/things/product-market-codes/M29010
650 2 4 _aPotential Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M12163
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662168370
776 0 8 _iPrinted edition:
_z9783540584483
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1590
856 4 0 _uhttps://doi.org/10.1007/BFb0073995
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10660
_d10660