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| 001 | 978-3-319-19339-7 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151058.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 150921s2015 gw | s |||| 0|eng d | ||
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_a9783319193397 _9978-3-319-19339-7 |
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_a10.1007/978-3-319-19339-7 _2doi |
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| 050 | 4 | _aQC19.2-20.85 | |
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_a530.15 _223 |
| 100 | 1 |
_aBovier, Anton. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 245 | 1 | 0 |
_aRandom Walks, Random Fields, and Disordered Systems _h[electronic resource] / _cby Anton Bovier, David Brydges, Amin Coja-Oghlan, Dmitry Ioffe, Gregory F. Lawler ; edited by Marek Biskup, Jiří Černý, Roman Kotecký. |
| 250 | _a1st ed. 2015. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2015. |
|
| 300 |
_aXIII, 239 p. 14 illus., 3 illus. in color. _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 |
||
| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2144 |
|
| 505 | 0 | _aAnton Bovier: From spin glasses to branching Brownian motion – and back? -- David Brydges: The Renormalization Group and Self-AvoidingWalk -- Amin Coja-Oghlan: Phase Transitions in Discrete Structures -- Dmitry Ioffe: Multidimensional Random Polymers : A Renewal Approach -- Gregory F. Lawler and Jacob Perlman: Loop measures and the Gaussian free field. | |
| 520 | _aFocusing on the mathematics that lies at the intersection of probability theory, statistical physics, combinatorics and computer science, this volume collects together lecture notes on recent developments in the area. The common ground of these subjects is perhaps best described by the three terms in the title: Random Walks, Random Fields and Disordered Systems. The specific topics covered include a study of Branching Brownian Motion from the perspective of disordered (spin-glass) systems, a detailed analysis of weakly self-avoiding random walks in four spatial dimensions via methods of field theory and the renormalization group, a study of phase transitions in disordered discrete structures using a rigorous version of the cavity method, a survey of recent work on interacting polymers in the ballisticity regime and, finally, a treatise on two-dimensional loop-soup models and their connection to conformally invariant systems and the Gaussian Free Field. The notes are aimed at early graduate students with a modest background in probability and mathematical physics, although they could also be enjoyed by seasoned researchers interested in learning about recent advances in the above fields. | ||
| 650 | 0 | _aComputer science. | |
| 650 | 0 | _aDistribution (Probability theory. | |
| 650 | 1 | 4 |
_aMathematical Physics. _0http://scigraph.springernature.com/things/product-market-codes/M35000 |
| 650 | 2 | 4 |
_aPhase Transitions and Multiphase Systems. _0http://scigraph.springernature.com/things/product-market-codes/P25099 |
| 650 | 2 | 4 |
_aProbability and Statistics in Computer Science. _0http://scigraph.springernature.com/things/product-market-codes/I17036 |
| 650 | 2 | 4 |
_aDiscrete Mathematics. _0http://scigraph.springernature.com/things/product-market-codes/M29000 |
| 650 | 2 | 4 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
| 700 | 1 |
_aBrydges, David. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 700 | 1 |
_aCoja-Oghlan, Amin. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 700 | 1 |
_aIoffe, Dmitry. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 700 | 1 |
_aLawler, Gregory F. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 700 | 1 |
_aBiskup, Marek. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
| 700 | 1 |
_aČerný, Jiří. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
| 700 | 1 |
_aKotecký, Roman. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319193380 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319193403 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2144 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-19339-7 |
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| 912 | _aZDB-2-LNM | ||
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