000 02296nam a22003618i 4500
001 CR9781108528986
003 UkCbUP
005 20200124160337.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 170614s2018||||enk o ||1 0|eng|d
020 _a9781108528986 (ebook)
020 _z9781108438179 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA166
_b.G75 2018
082 0 0 _a511/.5
_223
100 1 _aGrimmett, Geoffrey,
_eauthor.
245 1 0 _aProbability on graphs :
_brandom processes on graphs and lattices /
_cGeoffrey Grimmett, Statistical Laboratory, University of Cambridge.
250 _aSecond edition.
264 1 _aCambridge :
_bCambridge University Press,
_c2018.
300 _a1 online resource (xi, 265 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aInstitute of Mathematical Statistics textbooks ;
_v8
500 _aTitle from publisher's bibliographic system (viewed on 19 Jan 2018).
520 _aThis introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. This new edition features accounts of major recent progress, including the exact value of the connective constant of the hexagonal lattice, and the critical point of the random-cluster model on the square lattice. The choice of topics is strongly motivated by modern applications, and focuses on areas that merit further research. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.
650 0 _aGraph theory
_vTextbooks.
650 0 _aProbabilities
_vTextbooks.
776 0 8 _iPrint version:
_z9781108438179
830 0 _aInstitute of Mathematical Statistics textbooks ;
_v8.
856 4 0 _uhttps://doi.org/10.1017/9781108528986
999 _c523164
_d523162