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negass.dvi
https://www.statslab.cam.ac.uk/~grg/papers/negass.pdf15 Aug 2012: Thus, from every pair Ci, Cj ofdistinct components, we obtain new elements F ′ of Fs1 by adding an edge joiningCi to Cj. ... their Applications 59 (1995), 267–275. 13. Janson, S., Luczak, T., Ruciński, A., Random Graphs, Wiley, New York, 2000.14. -
Influence and sharp-threshold theorems for monotonic measures
https://www.statslab.cam.ac.uk/~grg/papers/influe.pdf15 Aug 2012: N ). We writeg = (gki : 1 i N ) for the associated function given by (2.12)–(2.14)subject to the new ordering, and C = g1(A). ... j1, j1,. , N}, and we construct a continuous increasing function g as abovebut subject to the new ordering. -
decay2.dvi
https://www.statslab.cam.ac.uk/~grg/papers/USdecay2.pdf15 Aug 2012: The principal new technique is aform of Russo's formula for random-cluster models reported by Bezuidenhout, Grimmett, andKesten. -
gmv.dvi
https://www.statslab.cam.ac.uk/~grg/papers/USmprf.pdf15 Aug 2012: In this new network there are jeB(n)j parallelconnections between @B(n) and @B(n1), each of which has (for n M = M(Z))a resistance exceeding c= logn (by -
PERCOLATION SINCE SAINT-FLOUR GEOFFREY R. GRIMMETT AND HARRY KESTEN…
https://www.statslab.cam.ac.uk/~grg/papers/stf.pdf2 Jul 2012: There has been a great deal of interest and activity in percolation theorysince the two Saint-Flour courses, [76, 111], of 1984 and 1996 reprinted inthis new edition. ... Press, New York, 1990,pp. 167–190. 91. O. Häggström, Uniqueness in -
rssb_1034 ..
https://www.statslab.cam.ac.uk/~rds37/papers/Shah%20Samworth%202013%20Variable%20selection%20with%20error%20control%20-%20another%20look%20at%20stability%20selection.pdf20 Dec 2012: We discuss these conditions in detail in Sections 3.2 and 3.3 respectively andcompare both the original and the new bounds to demonstrate the marked improvement. ... Our improved bounds are based on new versions of Markov’s inequality that hold for -
orient2.dvi
https://www.statslab.cam.ac.uk/~grg/papers/orient2.pdf15 Aug 2012: New difficulties arise through the presenceof orientations on the edges of the underlying lattice, and new ideas are neededto overcome these problems. ... 8, Springer, Berlin–Heidelberg–New York, 1987, pp. 13–20. 2. Aizenman, M., Newman, C. -
grimmett.dvi
https://www.statslab.cam.ac.uk/~grg/papers/camnato.pdf15 Aug 2012: Having constructed tm1,we define tm = tm(X, X) by adding to tm1 a new edge 〈ξim , ξm〉 where 1 im < mand ξm ( X{ξ1, ξ2,. , -
opt.dvi
https://www.statslab.cam.ac.uk/~grg/papers/USopt.pdf15 Aug 2012: The percolation model contains a maxi-mum of (statistical) independence, and has proved a superb testing ground for new. ... Percolation theory has earned a reputation as a source of hard problems which areeasy to state and whose solutions require new -
Geometry of Lipschitz percolation
https://www.statslab.cam.ac.uk/~grg/papers/AIHP403.pdf11 Apr 2012: U. In the latter case, we may remove U together with the previous DV stepto obtain a new admissible Λ-path from 0 to x of shorter length than π , a
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