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020 _a9783319193397
_9978-3-319-19339-7
024 7 _a10.1007/978-3-319-19339-7
_2doi
035 _ato000560062
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQA401-425
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
082 0 4 _a530.15
_223
100 1 _aBovier, Anton.
_eauthor.
_9325861
245 1 0 _aRandom Walks, Random Fields, and Disordered Systems
_helectronic 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.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXIII, 239 p. 14 illus., 3 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
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 _amathematics.
_9566183
650 0 _aMathematical statistics.
_9566264
650 0 _aProbabilities.
_9295556
650 0 _aDiscrete Mathematics.
_9414459
650 0 _aMathematical physics.
_9296775
650 0 _aPhase transitions (Statistical physics).
_9461532
650 1 4 _aMathematics.
_9566184
650 2 4 _aMathematical Physics.
_9296775
650 2 4 _aPhase Transitions and Multiphase Systems.
_9411037
650 2 4 _aProbability and Statistics in Computer Science.
_9304554
650 2 4 _aDiscrete Mathematics.
_9414459
650 2 4 _aProbability Theory and Stochastic Processes.
_9303734
700 1 _aBrydges, David.
_eauthor.
_9466944
700 1 _aCoja-Oghlan, Amin.
_eauthor.
_9466945
700 1 _aIoffe, Dmitry.
_eauthor.
_9466946
700 1 _aLawler, Gregory F.
_eauthor.
_9466947
700 1 _aBiskup, Marek.
_eeditor.
_9466948
700 1 _aČerný, Jiří.
_eeditor.
_9466949
700 1 _aKotecký, Roman.
_eeditor.
_9466950
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aLecture Notes in Mathematics,
_9315276
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-19339-7
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c414842