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  2. Isaac Physics Programme

    www.tcm.phy.cam.ac.uk/~mw141/rspp.html
    6 Sep 2017: order individual books, or in bulk (20 copies or more) for &pound1 per copy.
  3. Supplementary Material for“Exotic Non-Abelian Topological Defects in…

    www.tcm.phy.cam.ac.uk/~gm360/papers/source-free/PhysRevLett.119.106801_suppmat.pdf
    24 Sep 2017: 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280n. ... 0 2 4 6 8 10 12 14 16 18 20 22 24 26n.
  4. Exotic Non-Abelian Topological Defects in Lattice Fractional Quantum…

    www.tcm.phy.cam.ac.uk/~gm360/papers/source-free/PhysRevLett.119.106801.pdf
    24 Sep 2017: 20] H. Zheng, A. Dua, and L. Jiang, Demonstrating non-Abelian statistics of Majorana fermions using twist defects,Phys.
  5. http://www.tcm.phy.cam.ac.uk/~dek12/LitRev.html

    www.tcm.phy.cam.ac.uk/~dek12/LitRev.html
    1 Jun 2017: Physical Kinetics [20]: Boltzmann equation, its transformation into Fokker-Planck. equation, stationary solution. ... 20. E.M. Lifsits and L.P. Pitaevskii,. Physical Kinetics,. Pergamon Press. 21.
  6. NATURAL SCIENCES TRIPOS Part II Wednesday 18 January 2017 ...

    www.tcm.phy.cam.ac.uk/~cc726/TP1/ExamFiles/exam17sol.pdf
    24 Aug 2017: 20 λχχ. '(. ln2. λ 1. 2. )(χ χ)2 2 χχ,.
  7. arXiv unloaded

    www.tcm.phy.cam.ac.uk/~bdj10/articles/arxiv_correspondence.html
    9 May 2017: from www-admin@arxiv.org, Aug. 24th at 20:15. ... the 20 or so submissions received per day in this area so that those who do have an interest would be emailed the abstract.
  8. Anderson Localization (1957)

    www.tcm.phy.cam.ac.uk/~amg73/tsinghua2013e.pdf
    20 Jan 2017: 20 years ago. BCS sharp transition. Richardson no transition. J. von Delft et al., Phys.
  9. Anderson Localization (1957)

    www.tcm.phy.cam.ac.uk/~amg73/sestri2013garciagarcia.pdf
    20 Jan 2017: 𝑟0.56. 𝑟0.4. U=-20  =1 N/L 0.15. U=-20 =3 N/L 0.15. ... =2.5 U=-20 N/L= 21/233. From SC to. Quantum. magnetism. XXZ Spin.
  10. Anderson Localization (1957)

    www.tcm.phy.cam.ac.uk/~amg73/oxford2013c.pdf
    20 Jan 2017: / Δ0 1. Richardson. It‟s exact. I did it. 20 years ago.
  11. 22 Sep 2017:  EDUCATION. 1998/09/01-2002/08/20 Ph.D in Theoretical Physics. SUNY at Stony Brook, Adviser: J.
  12. Anderson Localization (1957)

    www.tcm.phy.cam.ac.uk/~amg73/cretecol2014d.pdf
    20 Jan 2017: Integral, Montecarlo. It’s exact. I did it. 20 years ago. BCS sharp transition.
  13. Microsoft PowerPoint - camlec9

    www.tcm.phy.cam.ac.uk/~amg73/cambmeso2012.pdf
    20 Jan 2017: . 22. AssesP. dD. Wigner Dyson statistics. 12 16 20 24 28 320.0. ... q. n. qLrdrψ. 12 16 20 24 28 320.0. 0.2. 0.4.
  14. programmeAWGQDRS

    www.tcm.phy.cam.ac.uk/AWG/2017awgqdrs/programmeAWGQDRS.pdf
    9 Aug 2017: 16:00-16:20 A.Nunnenkamp (Cambridge): Synchronization in the Quantum Regime 16:20-16:40 N.Cooper (Cambridge): Two-Level Systems Coupled by Dipole Interactions 16:40-17:30 discussion. ... 16:00-16:20 A.Green (UCL): The Lyapunov Spectrum of a Thermalising
  15. 8 Apr 2017: We created 25 artificial signals at each sparsity levels {1, 4, 10, 20, 35, 54}. ... 1.0. Sparsity. Pow. er. 0.4. 0.6. 0.8. 1.0. 1 4 10 20 35 54.
  16. Strong law of large numbers for the capacity of ...

    www.statslab.cam.ac.uk/~ps422/wiener7.pdf
    22 Dec 2017: 20. Proof of Lemma 3.8. We first extend the definition of the τi and Ai to negative indices:. ... C. (n exp(λ. L) exp. (c ε. 2n. E[Y 20]. Lε. )).
  17. Mixing time for random walk on supercritical dynamical percolation ...

    www.statslab.cam.ac.uk/~ps422/supercritical-draft.pdf
    15 Aug 2017: 20. Proof. Since τδ is a stopping time, it follows that {τδ t(n) > τi}Fτi, and hence we obtain. ... Êx,η[Zτk1(τδ t(n) > τk)] 1. n10d,. and hence, since N = (log n)γ n2 with γ = 8d 20 > 2β 1, we deduce.
  18. 17 Mar 2017: 2.1 Class structure. 20. 2.2 Hitting times. 21. 2.3 Recurrence and transience. ... Remark 2.20. Note that in the above theorem we required X to be recurrent in order to provethat the equivalence holds.
  19. Convergence of the SAW on random quadrangulations to SLE8/3 on…

    www.statslab.cam.ac.uk/~jpm205/slides/saw_convergence_paris_january_2017.pdf
    22 Jan 2017: Jason Miller (Cambridge) Convergence of the SAW on ’s to SLE(8/3) January 24, 2017 20 / 26. ... Q+. Qzip. Q. Jason Miller (Cambridge) Convergence of the SAW on ’s to SLE(8/3) January 24, 2017 20 / 26.
  20. Convergence of percolation on random quadrangulations

    www.statslab.cam.ac.uk/~jpm205/slides/percolation_convergence_oxford_may_2017.pdf
    1 Jun 2017: Simulations due to Tom Kennedy.Jason Miller (Cambridge) Convergence of percolation on random s May 22, 2017 20 / 28.
  21. NEW FRONTIERS IN RANDOM GEOMETRY (RaG)EP/I03372X/1 REPORT 1/7/16 – ...

    www.statslab.cam.ac.uk/~grg/rag-reports/report2017.pdf
    23 Oct 2017: 20. Random walks on the random graph, Nathanael Berestycki, EyalLubetzky, Yuval Peres, Allan Sly, Annals of Probability. ... Grimmett, Z.Li, European Journal of Combinatorics 20 (2013), Paper P47, 14 pp.
  22. Connective constants and height functions for Cayley graphs

    www.statslab.cam.ac.uk/~grg/papers/tran7166.pdf
    18 Aug 2017: The Higman group Γ of [20] is an infinite, finitely presented groupwith presentation Γ = 〈S | R〉 where.
  23. 25 Sep 2017: Date: 20 September 2017.2010 Mathematics Subject Classification. 91B12. 1. 2 GRIMMETT ET AL.
  24. SELF-AVOIDING WALKS AND AMENABILITY GEOFFREY R. GRIMMETT AND…

    www.statslab.cam.ac.uk/~grg/papers/new10.pdf
    3 Jul 2017: In summary,. {e1,e2} ={〈1,s1t 〉,〈1,st〉. }, {g1,g2} =. {〈1,s1t2〉,〈1,st2〉. }. 20 GEOFFREY R. ... Amer. Math. Soc. 369 (2017), 5961–5980.[20] , Self-avoiding walks and connective constants, (2017), http://arxiv.org/abs/1704.
  25. The 1-2 model

    www.statslab.cam.ac.uk/~grg/papers/conm14020.pdf
    18 Aug 2017: 17]), and this transformationgreatly facilitates its analysis. The above Ising model may be regarded as a special case of the eight-vertexmodel of Lin and Wu [20]. ... Commun. Probab. 19 (2014), no. 23, 8, DOI 10.1214/ECP.v19-3105. MR3197119[20] K.
  26. The Composition of the European Parliament

    www.statslab.cam.ac.uk/~grg/papers/Composition2017-published.pdf
    25 Jun 2017: Belgium 11 289 853 3 622 431 514.2 20 586 988 21 -1. ... Hungary 9 830 485 254 250 417.7 22 431 781 20 2.
  27. BriefingPukelsheimGrimmettFinalVersion-4

    www.statslab.cam.ac.uk/~grg/papers/BriefingPukelsheimGrimmettFinalVersion-4.pdf
    10 Feb 2017: 20 -3 Austria 8 711 500 510.3 16 569 480 18 -2 Bulgaria 7 153 784 58.5 14 531 642 17 -3 Denmark 5 700 917 56.7 12 ... 1 Belgium 11 289 853 3 622 431 514.2 20 586 988 21 -1 Greece 10 793 526 3 474 097 513.7 19 578 720 21 -2 Czech Republic
  28. CRITICAL SURFACE OF THE 1-2 MODEL GEOFFREY R. GRIMMETT ...

    www.statslab.cam.ac.uk/~grg/papers/12-final-revised.pdf
    17 Feb 2017: orc >a b, we have that |G| 2. 20 GEOFFREY R. ... matrix, as inspired by [20, Sect. 4.7]. A principal difference between [20] and thecurrent work is that, whereas bipartite graphs are considered there and the determi-nants of weighted adjacency
  29. 15. Lecture 16. Linear model examples, and ’rules of ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-16-linear-examples.pdf
    6 Mar 2017: We expect 20 sixes, and so the difference between observed and expected is10.
  30. 15. Lecture 16. Linear model examples, and ’rules of ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-16-linear-examples-4.pdf
    6 Mar 2017: We expect 20 sixes, and so the difference between observed and expected is10.
  31. 14. Lecture 15. Hypothesis testing in the linear model ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-15-linear-hypotheses.pdf
    6 Mar 2017: x 4 507.9 127.0 1.17 0.354. Residuals 20 2170.1 108.5. The p-value is 0.35, and so there is no evidence for a difference
  32. 14. Lecture 15. Hypothesis testing in the linear model ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-15-linear-hypotheses-4.pdf
    6 Mar 2017: x 4 507.9 127.0 1.17 0.354. Residuals 20 2170.1 108.5. The p-value is 0.35, and so there is no evidence for a difference
  33. 12. Lecture 13. Linear models with normal assumptions Lecture ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-13-normal-linear.pdf
    10 Mar 2017: on n p = 25 5 = 20. ... degrees of freedom. For these data, σ̃ =. RSS/(n p) =. 2170/20 = 10.4. Lecture 13. Linear models with normal assumptions 5 (1–1).
  34. 12. Lecture 13. Linear models with normal assumptions Lecture ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-13-normal-linear-4.pdf
    28 Feb 2017: Y5. . RSS =5. i=1. 5j=1(Yi,j µ̂i )2 =. 5i=1. 5j=1(Yi,j Yi.)2 on n p = 25 5 = 20. ... degrees of freedom. For these data, σ̃ =. RSS/(n p) =. 2170/20 = 10.4. Lecture 13. Linear models with normal assumptions 5 (1–1).
  35. 9. Lecture 10. Tests of homogeneity, and connections toconfidence ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-10-homogeneity-CIs.pdf
    20 Feb 2017: The responses were as shown in the table below. Improved No difference WorsePlacebo 18 17 15 50Half dose 20 10 20 50Full dose 25 13 12 50. ... Example 10.2. Example 10.1 continued. oij Improved No difference WorsePlacebo 18 17 15 50Half dose 20 10 20
  36. 9. Lecture 10. Tests of homogeneity, and connections toconfidence ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-10-homogeneity-CIs-4.pdf
    20 Feb 2017: The responses were as shown in the table below. Improved No difference WorsePlacebo 18 17 15 50Half dose 20 10 20 50Full dose 25 13 12 50. ... Example 10.2. Example 10.1 continued. oij Improved No difference WorsePlacebo 18 17 15 50Half dose 20 10 20
  37. 8. Lecture 9. Tests of goodness-of-fit and independence Lecture ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-09-fit-independence.pdf
    20 Feb 2017: Testing independence in contingency tables. Then (oijeij )2. eij= 36.20, and df = (3 1)(3 1) = 4. ... From tables, χ24(0.05) = 9.488 and χ24(0.01) = 13.28. So our observed value of 36.20 is significant at the 1% level, ie there is strongevidence
  38. 8. Lecture 9. Tests of goodness-of-fit and independence Lecture ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-09-fit-independence-4.pdf
    20 Feb 2017: Testing independence in contingency tables. Then (oijeij )2. eij= 36.20, and df = (3 1)(3 1) = 4. ... From tables, χ24(0.05) = 9.488 and χ24(0.01) = 13.28. So our observed value of 36.20 is significant at the 1% level, ie there is strongevidence
  39. 7. Lecture 8. Composite hypotheses Lecture 8. Composite hypotheses ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-08-composite-hypotheses.pdf
    20 Feb 2017: Suppose thatX1,. ,Xn are iid N(µ,σ. 20 ), with σ. 20 known, and we wish to test H0 : µ = µ0.
  40. 7. Lecture 8. Composite hypotheses Lecture 8. Composite hypotheses ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-08-composite-hypotheses-4.pdf
    20 Feb 2017: Suppose thatX1,. ,Xn are iid N(µ,σ. 20 ), with σ. 20 known, and we wish to test H0 : µ = µ0.
  41. 6. Lecture 7. Simple Hypotheses Lecture 7. Simple Hypotheses ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-07-simple-hypotheses.pdf
    6 Feb 2017: 20 is known. We want to find. the best size α test of H0 :µ=µ0 against H1 :µ=µ1, where µ0 and µ1 are knownfixed values with µ1 > µ0.
  42. 6. Lecture 7. Simple Hypotheses Lecture 7. Simple Hypotheses ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-07-simple-hypotheses-4.pdf
    6 Feb 2017: 20 is known. We want to find. the best size α test of H0 :µ=µ0 against H1 :µ=µ1, where µ0 and µ1 are knownfixed values with µ1 > µ0.
  43. 5. Lecture 6. Bayesian estimation Lecture 6. Bayesian estimation ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-06-bayesian.pdf
    6 Feb 2017: On average in the country around 10% of peopledie, but mortality rates in different hospitals vary from around 3% to around 20%.Hospital H has no deaths in their first 10 ... It turns out that a Beta(a=3,b=27) prior distribution has mean 0.1 andP(0.03 <
  44. 5. Lecture 6. Bayesian estimation Lecture 6. Bayesian estimation ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-06-bayesian-4.pdf
    6 Feb 2017: On average in the country around 10% of peopledie, but mortality rates in different hospitals vary from around 3% to around 20%.Hospital H has no deaths in their first 10 ... It turns out that a Beta(a=3,b=27) prior distribution has mean 0.1 andP(0.03 <
  45. 4. Lecture 5. Confidence Intervals Lecture 5. Confidence Intervals ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-05-confidence-intervals.pdf
    30 Jan 2017: Suppose an opinion poll says 20% are going to vote UKIP, based on a randomsample of 1,000 people. ... Now var(Xn. )= p(1p)n. p̂(1p̂)n =. 0.20.81000 = 0.00016. So a 95% CI is(p̂1.96.
  46. 4. Lecture 5. Confidence Intervals Lecture 5. Confidence Intervals ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-05-confidence-intervals-4.pdf
    30 Jan 2017: Suppose an opinion poll says 20% are going to vote UKIP, based on a randomsample of 1,000 people. ... Now var(Xn. )= p(1p)n. p̂(1p̂)n =. 0.20.81000 = 0.00016. So a 95% CI is(p̂1.96.
  47. 0. Statistics 1B Statistics 1B 1 (1–1) 0. Lecture ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-01-intro-prob.pdf
    18 Jan 2017: Y (x, y ). =X. x. [Y. fY |X (y | x ). ]fX (x ) =. X. x fX (x ). Lecture 1. Introduction and probability review 20 (1–1). ... 12. Lecture 1. Introduction and probability review 31 (1–1). 1. Introduction and probability review 1.20.
  48. 0. Statistics 1B Statistics 1B 1 (1–1) 0. Lecture ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-01-intro-prob-4.pdf
    17 Jan 2017: Yx fX,Y (x, y ). =. Xx. [. YfY |X (y | x ). ]fX (x ) =. Xx fX (x ). Lecture 1. Introduction and probability review 20 (1–1). ... 12. Lecture 1. Introduction and probability review 31 (1–1). 1. Introduction and probability review 1.20.
  49. interlude-2-bias

    www.statslab.cam.ac.uk/Dept/People/djsteaching/interlude-2-bias.pdf
    25 Jan 2017: Do you think the population of the Philippines is greater than 20,000,000? •
  50. 1 Statistics 1B Interludes 15. Statistics and a mass ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/interlude-15-shipman.pdf
    10 Mar 2017: 20. 0. 20. 40. 60. 80. 100. 120. 1977. 1979. 1981.
  51. 1 Statistics 1B Interludes 10. Multiple testing Testing many ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/interlude-10-multiple-testing.pdf
    28 Feb 2017: Can use a/n as a significance level [Bonferroni]. i.e. could have used 0.05/20 = 0.0025 for jelly beans.

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