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meanf.dvi
www.statslab.cam.ac.uk/~grg/papers/USmeanf.pdf15 Aug 2012: There are Op(1) unicyclic components with a total numberof Op(1) vertices. ... The largest tree has order Op(n2/3). (b) If q > 2, then a.e. -
inter4.dvi
www.statslab.cam.ac.uk/~grg/papers/USinter4.pdf15 Aug 2012: revised 26 April 2002. Rigidity of the interface in percolationand random-cluster models. Guy Gielis1. Geoffrey Grimmett2. Abstract: We study conditioned random-cluster measures with edge-parameter pand cluster-weighting factor q satisfying q 1. The -
ems.dvi
www.statslab.cam.ac.uk/~grg/papers/usems.pdf15 Aug 2012: On the other hand, no constructive proofis known of the existence of such measures when q < 1 (OP). ... such that thegraph (V,F ) is connected. Is it the case that (OP). () -
sjqrw3.dvi
www.statslab.cam.ac.uk/~grg/papers/sjqrw3.pdf15 Aug 2012: E (Xrn) =. 2π. 0. 〈Ψn(k),DrΨn(k)〉dk. 2π, (16). where D = X̂ = id/dk is the position op-. ... 2d}. In general, the evolution op-erator U(k) generates entanglement betweenthe different spatial directions and it is neces-sary therefore to consider -
rcm1-1.dvi
www.statslab.cam.ac.uk/~grg/books/rcm1-1.pdf23 Jul 2012: Geoffrey Grimmett. The Random-Cluster Model. With 37 Figures. Springer. cSpringer-Verlag 2006. Geoffrey GrimmettStatistical LaboratoryCentre for Mathematical SciencesUniversity of CambridgeWilberforce RoadCambridge CB3 0WBUnited Kingdom. Mathematics
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