:??cole d'??t?ش de Probabilit?شs de Saint-Flour XLI - 2011
نام نخستين پديدآور
/ by Itai Benjamini
خط فهرست نويسي و خط اصلي شناسه
fa
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Cham
نام ناشر، پخش کننده و غيره
: Springer International Publishing :Imprint: Springer,
تاریخ نشرو بخش و غیره
, 2013.
مشخصات ظاهری
نام خاص و کميت اثر
VII, 129 p. 6 illus., 3 illus. in color., online resource.
فروست
عنوان فروست
(Lecture Notes in Mathematics,0075-8434
مشخصه جلد
; 2100)
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Electronic
یادداشتهای مربوط به مندرجات
متن يادداشت
These lecture notes study the interplay between randomness and geometry of graphs. The first part of the notes reviews several basic geometric concepts, before moving on to examine the manifestation of the underlying geometry in the behavior of random processes, mostly percolation and random walk. The study of the geometry of infinite vertex transitive graphs, and of Cayley graphs in particular, is fairly well developed. One goal of these notes is to point to some random metric spaces modeled by graphs that turn out to be somewhat exotic, that is, they admit a combination of properties not encountered in the vertex transitive world. These include percolation clusters on vertex transitive graphs, critical clusters, local and scaling limits of graphs, long range percolation, CCCP graphs obtained by contracting percolation clusters on graphs, and stationary random graphs, including the uniform infinite planar triangulation (UIPT) and the stochastic hyperbolic planar quadrangulation (SHIQ).
متن يادداشت
Isoperimetry and expansions in graphs -- Several metric notions -- The hyperbolic plane and hyperbolic graphs -- More on the structure of vertex transitive graphs -- Percolation on graphs -- Local limits of graphs -- Random planar geometry -- Growth and isoperimetric profile of planar graphs -- Critical percolation on non-amenable groups -- Uniqueness of the infinite percolation cluster -- Percolation perturbations -- Percolation on expanders -- Harmonic functions on graphs -- Nonamenable Liouville graphs.?╗╣
فروست (داده ارتباطی)
عنوان
Lecture Notes in Mathematics,0075-8434
شماره جلد
2100
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Geometry
موضوع مستند نشده
Mathematical physics
موضوع مستند نشده
Materials
موضوع مستند نشده
Electronic books
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )