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24 Jun 2012: cyi cyi cici; (1). where cyi and ci are boson creation and annihilation op-erators on lattice site i, J is the hopping energy, and U is the.

10 Oct 2012: He con-tributed to many areas of mathematics. example is the kinetic energy op-erator T̂ =. Pn. p̂2n. 2m , where p̂n isthe momentum operator acting onthe n-th particle. ... have described a physical systemin terms of a theory involving a continuum of

15 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.

15 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

15 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). ()

15 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

23 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

24 Nov 2012: structure. Interestingly, there is an op-timum lattice parameter ratio c/a for least dissolution energy.

16 Feb 2012: Transformation and tempering oflow–temperature bainite. by. Mathew James Peet. Wolfson College, Cambridge. A dissertation submitted for the degree ofDoctor of Philosophy. at the University of Cambridge. July 2010. 2. i. Preface. This dissertation

7 Jun 2012: Λobserved = Λbare Λinduced. 1. Op#cal Conduc#vity. Herzog, Kovtun, Sachdev and Son; Hartnoll. ... 1. Dilute charge carriers 2. Break transla#onal invariance. Two op#ons to resolve.