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Analysis II Michaelmas 2016 Example Sheet 4 1. (a) ...
https://www.dpmms.cam.ac.uk/study/IB/AnalysisII/2016-2017/16sheet4.pdf21 Nov 2016: 10. Let f : Rn Rn be a C1 map. Suppose that there is some constant µ < 1 such that‖Df|x I‖op µ for all x Rn. -
Automorphy of some residually S5 Galois representations…
https://www.dpmms.cam.ac.uk/~jat58/quintic.pdf27 Apr 2016: Automorphy of some residually S5 Galois representations. Chandrashekhar B. Khare and Jack A. Thorne†. April 27, 2016. Abstract. Let F be a totally real field and p an odd prime. We prove an automorphy lifting theorem forgeometric representations -
PRINCIPLES OF STATISTICS Part II, Michaelmas 2016, QB (email: ...
https://www.dpmms.cam.ac.uk/study/II/PrinciplesOfStatistics/2016-2017/handout_convergence.pdf17 Oct 2016: non-stochastic), then AnXnd AX. iv) If Xnd X as n , then (Xn)n0 is bounded in probability, or Xn = OP (1), i.e. -
Part IB GEOMETRY (Lent 2016): Example Sheet 3…
https://www.dpmms.cam.ac.uk/study/IB/Geometry/2015-2016/geom-sheet3.pdf9 Mar 2016: OP , where O denotes the origin. 3. Show the stereographic projection map π : S {N} C, where N denotes the northpole, defines a chart. -
A 2-adic automorphy lifting theorem for unitary groups over ...
https://www.dpmms.cam.ac.uk/~jat58/p_equals_2.pdf16 Mar 2016: A 2-adic automorphy lifting theorem for unitary groups over CM. fields. Jack A. Thorne. March 16, 2016. Abstract. We prove a ‘minimal’ type automorphy lifting theorem for 2-adic Galois representations of unitarytype, over imaginary CM fields. We
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