000 | 02913nam a22004935i 4500 | ||
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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 |
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024 | 7 |
_a10.1007/b134090 _2doi |
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050 | 4 | _aQA273.A1-274.9 | |
050 | 4 | _aQA274-274.9 | |
072 | 7 |
_aPBT _2bicssc |
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072 | 7 |
_aMAT029000 _2bisacsh |
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072 | 7 |
_aPBT _2thema |
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072 | 7 |
_aPBWL _2thema |
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082 | 0 | 4 |
_a519.2 _223 |
100 | 1 |
_aTelcs, András. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 4 |
_aThe Art of Random Walks _h[electronic resource] / _cby András Telcs. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006. |
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300 |
_aVII, 200 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1885 |
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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 |