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001 978-3-540-33028-8
003 DE-He213
005 20190213151734.0
007 cr nn 008mamaa
008 100301s2006 gw | s |||| 0|eng d
020 _a9783540330288
_9978-3-540-33028-8
024 7 _a10.1007/b134090
_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 _aTelcs, András.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 4 _aThe Art of Random Walks
_h[electronic resource] /
_cby András Telcs.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2006.
300 _aVII, 200 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 ;
_v1885
505 0 _aPotential theory and isoperimetric inequalities -- Basic definitions and preliminaries -- Some elements of potential theory -- Isoperimetric inequalities -- Polynomial volume growth -- Local theory -- Motivation of the local approach -- Einstein relation -- Upper estimates -- Lower estimates -- Two-sided estimates -- Closing remarks -- Parabolic Harnack inequality -- Semi-local theory.
520 _aEinstein proved that the mean square displacement of Brownian motion is proportional to time. He also proved that the diffusion constant depends on the mass and on the conductivity (sometimes referred to Einstein’s relation). The main aim of this book is to reveal similar connections between the physical and geometric properties of space and diffusion. This is done in the context of random walks in the absence of algebraic structure, local or global spatial symmetry or self-similarity. The author studies the heat diffusion at this general level and discusses the following topics: The multiplicative Einstein relation, Isoperimetric inequalities, Heat kernel estimates Elliptic and parabolic Harnack inequality. .
650 0 _aDistribution (Probability theory.
650 0 _aDifferential equations, partial.
650 1 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540821779
776 0 8 _iPrinted edition:
_z9783540330271
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1885
856 4 0 _uhttps://doi.org/10.1007/b134090
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c11716
_d11716