000 02272nam a22003738i 4500
001 CR9781316460238
003 UkCbUP
005 20240909184444.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 150513s2017||||enk o ||1 0|eng|d
020 _a9781316460238 (ebook)
020 _z9781107134119 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA614.86
_b.B57 2017
082 0 0 _a514/.742
_223
100 1 _aBishop, Christopher J.,
_eauthor.
245 1 0 _aFractals in probability and analysis /
_cChristopher J. Bishop, Stony Brook University, Stony Brook, NY, Yuval Peres, Microsoft Research, Redmond, WA.
264 1 _aCambridge :
_bCambridge University Press,
_c2017.
300 _a1 online resource (ix, 402 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v162
500 _aTitle from publisher's bibliographic system (viewed on 31 Jan 2017).
520 _aThis is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability, central topics such as Hausdorff dimension, self-similar sets and Brownian motion are introduced, as are more specialized topics, including Kakeya sets, capacity, percolation on trees and the traveling salesman theorem. The broad range of techniques presented enables key ideas to be highlighted, without the distraction of excessive technicalities. The authors incorporate some novel proofs which are simpler than those available elsewhere. Where possible, chapters are designed to be read independently so the book can be used to teach a variety of courses, with the clear structure offering students an accessible route into the topic.
650 0 _aFractal analysis
_vProblems, exercises, etc.
650 0 _aGeometric analysis
_vProblems, exercises, etc.
650 0 _aProbability measures
_vProblems, exercises, etc.
700 1 _aPeres, Y.
_q(Yuval),
_eauthor.
830 0 _aCambridge studies in advanced mathematics ;
_v162.
856 4 0 _uhttps://doi.org/10.1017/9781316460238
942 _2ddc
_cEB
999 _c10046
_d10046