000 02142nam a2200313| 4500
001 84035
005 20211220153602.0
010 _a978-3-319-19339-7
_dcompra
090 _a84035
100 _a20190128d2015 k||y0pory50 ba
101 0 _aeng
102 _aUS
200 1 _aRandom walks, random fields, and disordered systems
_bDocumento electrn̤ico
_fAnton Bovier ... [et al.]
210 _aCham
_cSpringer International Publishing
_d2015
215 _aXIII, 239 p. 14 il
225 2 _aLecture notes in mathematics
300 _aColocaȯ̂: Online
303 _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.
410 1 _x0075-8434
_v2144
606 _aInformt̀ica
_998
606 _aDistribuiȯ̂ (Teoria das probabilidades)
_96798
680 _aQA401
700 1 _aBovier
_bAnton
_ce outros
801 0 _gRPC
_aPT
856 _uhttps://doi.org/10.1007/978-3-319-19339-7
942 _2lcc
_cF
_n0