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grimmett.dvi
www.statslab.cam.ac.uk/~grg/papers/camnato.pdf15 Aug 2012: 24] for a discussion). If d 3 and q is sufficiently large, then the uniqueness is aconsequence of Pirogov–Sinai theory ([37, 39]). ... 1992). Potts models and random-cluster processes with many-body interac-. tions (to appear).24. -
PERCOLATION SINCE SAINT-FLOUR GEOFFREY R. GRIMMETT AND HARRY KESTEN…
www.statslab.cam.ac.uk/~grg/papers/stf.pdf2 Jul 2012: Probab. 24 (1996), 1036–1048. 4. M. Atapour and N. Madras, On the number of entangled clusters, J.Statist. ... J. Probab. Stat. 24 (2010), 300–320. 114. H. Kesten, V. Sidoravicius, and Y. -
notes.dvi
www.statslab.cam.ac.uk/~grg/papers/USrednotes.pdf15 Aug 2012: PERCOLATION ANDDISORDERED SYSTEMSGeorey GRIMMETT. 2PREFACEThis course aims to be a (nearly) self-contained account of part of the mathematicaltheory of percolation and related topics. The rst nine chapters summarise rigorousresults in percolation -
Optimization and Control Contents Table of Contents i Schedules ...
www.statslab.cam.ac.uk/~rrw1/oc/oc2012.pdf21 Mar 2012: 24. 6.6 Forward induction policies. 24. 7 Average-cost Programming 25. 7.1 Average-cost optimality equation. -
rctree.dvi
www.statslab.cam.ac.uk/~grg/papers/USrctree.pdf15 Aug 2012: BRANCHING PROCESSES, AND. RANDOM-CLUSTER MEASURES ON TREES. Geoffrey Grimmett, Svante JansonAbstra t. Random-cluster measures on infinite regular trees are studied in con-junction with a general type of ‘boundary condition’, namely an -
keane.dvi
www.statslab.cam.ac.uk/~grg/papers/USkeane.pdf15 Aug 2012: Theorem 6. [24] We have that µp(K = 1) = 1 whenever p > pentc. ... Soc., 130:175–188, 2001. MR1797779. [24] O. Häggström. Uniqueness of the infinite entangled component in three-dimensional bond percolation. -
meanf.dvi
www.statslab.cam.ac.uk/~grg/papers/USmeanf.pdf15 Aug 2012: THE RANDOM-CLUSTER MODEL. ON THE COMPLETE GRAPH. Béla Bollobás, Geoffrey Grimmett, Svante JansonAbstract. The random-cluster model of Fortuin and Kasteleyn contains as specialcases the percolation, Ising, and Potts models of statistical physics. -
notes-reprint2012.dvi
www.statslab.cam.ac.uk/~grg/papers/notes-reprint2012.pdf15 Aug 2012: PERCOLATION AND. DISORDERED SYSTEMS. Geoffrey GRIMMETT. Percolation and Disordered Systems 143. PREFACE. This course aims to be a (nearly) self-contained account of part of the math-ematical theory of percolation and related topics. The first nine -
ems.dvi
www.statslab.cam.ac.uk/~grg/papers/usems.pdf15 Aug 2012: THE RANDOM-CLUSTER MODEL. Geoffrey GrimmettAbstra t. The class of random-cluster models is a unification of a variety of sto-chastic processes of significance for probability and statistical physics, including per-colation, Ising, and Potts models; -
potts2.dvi
www.statslab.cam.ac.uk/~grg/papers/USpotts2.pdf15 Aug 2012: POTTS MODELS AND RANDOM-CLUSTER. PROCESSES WITH MANY-BODY INTERACTIONS. Geoffrey GrimmettAbstra t. Known differential inequalities for certain ferromagnetic Potts models with pair-interactions may be extended to Potts models with many-body -
rcm1-1.dvi
www.statslab.cam.ac.uk/~grg/books/rcm1-1.pdf23 Jul 2012: 1.24) η(ω) = {e E : ω(e) = 1}. Clearly,ω1 ω2 if and only if η(ω1) η(ω2). -
Geometry of Lipschitz percolation
www.statslab.cam.ac.uk/~grg/papers/AIHP403.pdf11 Apr 2012: Ax,m(n)) nnr=0 hmp (r). 1. (24). Once this is proved, it follows by (23) that. ... prove (24), and the proof is essentially that of [11], Lemma 5.17. -
opt.dvi
www.statslab.cam.ac.uk/~grg/papers/USopt.pdf15 Aug 2012: See [24, 51, 52] for more informa-tion and references.Few non-trivial facts are known about the limit set L, and much eort hasbeen spent, largely inconclusively, on attempting to -
bg6.dvi
www.statslab.cam.ac.uk/~grg/papers/USbg6.pdf15 Aug 2012: Our basic strategy in proving the central limit theorem isto adapt the arguments proposed by Kipnis and Varadhan [24] and further developed byDeMasi, Ferrari, Goldstein, and Wick [10, 11]. ... One of the main properties of the chain Xω is its -
orient2.dvi
www.statslab.cam.ac.uk/~grg/papers/orient2.pdf15 Aug 2012: Directed percolation is closely related to the contact model, for which blockarguments have been used to prove results related to some of those describedabove (see [7, 12, 23, 24]). -
rssb_1034 ..
www.statslab.cam.ac.uk/~rds37/papers/Shah%20Samworth%202013%20Variable%20selection%20with%20error%20control%20-%20another%20look%20at%20stability%20selection.pdf20 Dec 2012: 104 5:12 104 1:32 103 2:59 103 4:37 1030.54 1:01 104 4:81 104 1:24 103 2:44 103 4:13 1030.55 ... 02 105 1:46 104 2:33 1040.88 7:64 106 3:12 105 7:24 105 1:32 104 2:11 1040.89 6:85 106 2:80 105 -
inter4.dvi
www.statslab.cam.ac.uk/~grg/papers/USinter4.pdf15 Aug 2012: Using (5.17)–(5.18) of[22], together with estimates at the beginning of the proof of Lemma (2.24) of [29],we find that. ... We have forf W(δ1) QG/3(e1) that. τ[QG/3(f) EL1,M1. ]= QG/3(τf) EL2,M2, (24). -
Influence and sharp-threshold theorems for monotonic measures
www.statslab.cam.ac.uk/~grg/papers/influe.pdf15 Aug 2012: 2.24) λ(C | Uj = 1) = λ(g(U ) A) λ(f (U ) A) = λ(B | Uj = 1). -
rcproc.dvi
www.statslab.cam.ac.uk/~grg/papers/USrcproc.pdf15 Aug 2012: φbp,q = αφ′ (1 α)φ′′. for some distinct φ′,φ′′ Rp,q. It follows by [24, Thm. ... The given statement for θ0 may be proved similarly, making use of Theorem3.2 and [24, Prop. -
Random-cluster representation of the Blume–Capel model B. T. Graham,…
www.statslab.cam.ac.uk/~grg/papers/blume.pdf15 Aug 2012: limΛLd. φ0Λ(A B) = Φ0(1A(ψ)µ0ψ(B)). (7.7). 24 B. T. Graham and G.
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