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3 Aug 2012: the ball B(f(tj),ε) is contained in B(f(ti), (2k1 1)ε). ... S(k) = {j : |ti tj| < 2ε and |f(ti) f(tj)| [2kε, 2k1ε)},.

14 Mar 2012: 9. Define inductively. Tj1 = inf{m Tj 1 : i = 2,. ... E.  κj=1. 1(x1 ξ1(Tj) U1Tj ). . By the independence of the motions of the nodes 1,.

15 Aug 2012: PERCOLATION ANDDISORDERED SYSTEMS. Georey 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

15 Aug 2012: Secondly, in (2.13) on page6, we assume further that tj < 12sj. ... The nal display on that page becomes1njI f1; 2; : : :;ngj 1n Xj: jRsj2n 1 nsj tj 3 XjR tjsj 3:AcknowledgementsThe author is grateful to Maury Bramson for taking an interest

15 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

15 Aug 2012: t0,x0,. ,xr1, tr) for some r 0 with xi Z2{O}, ti T, and tj 6= R for. ... iii) r = s 1, xi = yi for i r 1, tj = uj for j r, ys O and us = R.

27 Jan 2012: The outcome is a decomposition ofγ into an ordered set of bridges with vertical displacements written T0 > T1 > > Tj. ... Therefore,. Z(x) 2. Ti<<T1T0>>Tj. j. k=i. ζxTk = 2. T =1.

15 Aug 2012: n,(c) if ti = tj , then (ti, zi) / (tj , zj ) in {ti} Zd, for 0 i < j n.

14 Oct 2012: equations, of which equation j has tj coefficients. The horizontal lines divide the groups of.

1 Aug 2012: Competitive and cooperative dynamics of large-scalebrain functional networks supporting recollectionAlex Fornitoa,b,c,1, Ben J. Harrisona, Andrew Zaleskya, and Jon S. Simonsd,e. aMelbourne Neuropsychiatry Centre, Department of Psychiatry, University