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  2. Seminar & Conference Organisation | Department of Pure…

    https://www.dpmms.cam.ac.uk/seminar-conference-organisation
    17 Jul 2024: 24Guidelines (Financial Matters) for Departmental Seminar Organisers and those hosting Speakers - Jan 24.
  3. MATHEMATICAL TRIPOS PART II (2023–2024)CODING AND CRYPTOGRAPHY…

    https://www.dpmms.cam.ac.uk/study/II/Coding/2023-2024/CC3-20.pdf
    5 Feb 2024: Colourtransmission requires three times the amount of data than Mariner 9 needed, so a Golay (24,12,8) code wasused.
  4. Paul Russell's Papers and Preprints

    https://www.dpmms.cam.ac.uk/~par31/preprints/
    15 May 2019: 24 (2015), 480--485 (with I. B. Leader) Monochromatic infinite sumsets, submitted (with P.
  5. NON-TRIVIALITY OF TORSION UNIVERSAL CHARACTERISTIC CLASSES OF…

    https://www.dpmms.cam.ac.uk/~or257/Torsion.pdf
    1 Oct 2012: Oscar Randal-Williams, Mathematical Institute, 24-29 St Giles’, Oxford, OX1 3LB, United.
  6. 23 Nov 2011: 1. Triangulating a ‘topological pretzel’: χ = 24 44 18 = 2, g = 2.
  7. Dr P.M.E. ALTHAM, 2013Retired Director of Studies for the ...

    https://www.dpmms.cam.ac.uk/~pmea/publications.pdf
    24 Sep 2013: Psychological Medicine 19, (1989), 165–174.24. Recent friendships and life events in anxious and depressed school-age children(with Goodyer, I.M. ... GenstatNewsletter 24, (1990), 27–34.29. Recent achievements and adversities in anxious and depressed
  8. IA Groups - Example Sheet 3 Michaelmas 2022 rdc26@cam.ac.uk ...

    https://www.dpmms.cam.ac.uk/study/IA/Groups/2022-2023/gps322.pdf
    8 Nov 2022: a) Let H 6 Cn. Identify the quotient Cn/H. (b) Show that N = {e, (12)(34), (13)(24), (14)(23)} is a normal subgroup of S4.
  9. Profinite Groups, Exercise Sheet 2 Lent 2021 [Key questions ...

    https://www.dpmms.cam.ac.uk/~grw46/ProfinitGroups_Exs2.pdf
    19 Jan 2021: 24, x. 14 x1x4 = x. 21. 〉has no finite quotients other than the trivial group.
  10. 28 Dec 2017: February 24, 2017. Date of Birth 12/iv/1948. État Civile: divorced. Tertiary Education. ... Items 24, 25 and 27 were written at the invitation of people compiling those volumes.
  11. N-Congruences Between Quadratic Twists of Elliptic Curves

    https://www.dpmms.cam.ac.uk/~stf32/slides/qttslides_yrant.pdf
    7 Sep 2021: quadratic twist if and only ifeither N 12, N 24 is even, N = 28 or N = 36.
  12. Part III Analysis of PDE: Rough syllabus Claude Warnick ...

    https://www.dpmms.cam.ac.uk/~cmw50/resources/PartIIIPDE/PDESyllabus.pdf
    15 Oct 2021: Part III Analysis of PDE: Rough syllabus. Claude Warnick. April 24, 2019.
  13. Pierre RAPHAËL Herchel Smith Professor of Pure MathematicsDepartment …

    https://www.dpmms.cam.ac.uk/files/raphael/cv-complet-2022.pdf
    25 Jan 2022: 163 (2014), no. 2, 369–431. [24] Raphaël, P.; Schweyer, R., Stable blow up dynamics for the 1-corotational energy critical harmonic heat flow,Comm. ... Vlasov-Poisson system, Ann. Inst. H. Poincaré Anal. Non Lind́eaire 24 (2007), no.
  14. P.M.E.ALTHAM, November 1998.Here are some extra problems on…

    https://www.dpmms.cam.ac.uk/~pmea/tripos.pdf
    26 Aug 2011: 7591 5126 350 297 324 299 Greater Manchester16. 906 734 55 34 38 24 Gwent17. ... 304 205 37 24 65 53 Warwickshire40. 948 1184 65 98 133 103 West Mercia41.
  15. Example sheet 3, Galois Theory (Michaelmas 2022)…

    https://www.dpmms.cam.ac.uk/study/II/Galois/2022-2023/ex3.pdf
    22 Nov 2022: 1. (i) What are the transitive subgroups of S4? Find a monic polynomial over Z of degree 4 whoseGalois group is V = {e, (12)(34), (13)(24), (14)(23)}.(ii) Let
  16. GLOBAL PERTURBATIVE CLASSICAL SOLUTIONS OF THE BOLTZMANN EQUATION…

    https://www.dpmms.cam.ac.uk/~md384/Boltzmann-long-range.pdf
    14 Feb 2017: Math. Soc. 24 (2011), no. 3, 771–847. [4] Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
  17. IA Groups - Example Sheet 3 Michaelmas 2021 rdc26@cam.ac.uk ...

    https://www.dpmms.cam.ac.uk/study/IA/Groups/2021-2022/gps321.pdf
    8 Nov 2021: a) Let H 6 Cn. Identify the quotient Cn/H. (b) Show that N = {e, (12)(34), (13)(24), (14)(23)} is a normal subgroup of S4.
  18. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=112%2C
    17 Jul 2024: 2007). 24,. 159. (doi: 10.3934/dcds.2009.24.159). Distributions associated with general runs and patterns in hidden Markov models. ... 2007). 24,. 6201. (doi: 10.1088/0264-9381/24/24/004). Representations of the quantum torus and applications to finitely
  19. Scrapbook on Set Theory with a Universal Set Thomas ...

    https://www.dpmms.cam.ac.uk/~tef10/NFnotesredux.pdf
    14 Jul 2024: 491.24 A conversation with Zachiri, Gothenburg 15th april 2015. 491.25 An Epimorphism that doesn’t split. ... Stuff to fit in somewhere. Ivan Vorobiev <ivanexplay2000@gmail.com> writes on 5/vii/24.
  20. Diffeomorphisms of discs

    https://www.dpmms.cam.ac.uk/~or257/slides/Copenhagen2020.pdf
    8 Sep 2020: 54. 56. 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 ... 44. 46. 48. 50. 52. 54. 56. 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52
  21. Mich. 2018 GRAPH THEORY—EXAMPLES 3 PAR 1(a) For which ...

    https://www.dpmms.cam.ac.uk/study/II/Graphs/2018-2019/18sheet3.pdf
    5 Nov 2018: 1) = 1. There must be a 24-path from x2 to x4 or we can make some colour swap and colour v. ... 1) = 1. There must be a 23-path from x2 to x3 and a 24-path from x2 to x4 or we can make some colour swap and.
  22. Lent Term 2024 O. Randal-Williams IB Groups, Rings, and ...

    https://www.dpmms.cam.ac.uk/study/IB/GroupsRings%2BModules/2023-2024/Sheet3.pdf
    15 Jan 2024: X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4.
  23. Reminiscences about the Diploma in Mathematical Statistics…

    https://www.dpmms.cam.ac.uk/~pmea/DipRem.pdf
    30 Sep 2013: 1. P.M.E.Altham, University of Cambridge 2. The only undergraduate exposure to probabability/statistics available when I took my degree in1964 was the inspirational 24-hour course ‘Random Variables’
  24. Example sheet 3, Galois Theory (Michaelmas 2005)…

    https://www.dpmms.cam.ac.uk/study/II/Galois/ex3.pdf
    12 Nov 2005: Find a monic polynomial over Z of degree 4 whoseGalois group is V = {e, (12)(34), (13)(24), (14)(23)}.(ii) Let f Z[X] be monic and separable of degree
  25. Mich. 2023 SJW Representation Theory — Examples Sheet 2 ...

    https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2023-2024/2023ex2.pdf
    25 Oct 2023: g]| 1 21 42 56 24 24α 14 2 0 1 0 0β 15 1 1 0 1 1γ 16 0 0 2 2 2.
  26. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=114%2C
    17 Jul 2024: 24,. 471. (doi: 10.3934/dcds.2009.24.471). Modeling file-sharing with BitTorrent-like incentives. G Kesidis, T Konstantopoulos, P Sousi. –
  27. Elliptic Curves and Modularity Jack A. Thorne Abstract We ...

    https://www.dpmms.cam.ac.uk/~jat58/EMS.pdf
    29 Sep 2023: 24, 14].). Our first goal in this article is to state the a version of this modularity conjecture forelliptic curves over a general number field K in as down to earth ... 24] F. Grunewald, H. Helling, J. Mennicke, SL2 over complex quadratic number fields.
  28. Modular forms and L-functions (Michaelmas 2019) — example sheet ...

    https://www.dpmms.cam.ac.uk/~ajs1005/modular/ex-sheet-2-2019.pdf
    2 Nov 2019: π2. 3. (1 24. n=1. σ1(n)qn. ). Explain why G2(z) is not a modular form of weight 2.
  29. Pattern Matching and Lossy Data Compression on Random Fields ...

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/RFS2.pdf
    5 Jun 2020: This. 2. result generalizes the corresponding bound of Steinberg and Gutman [24] for one-dimensionalsources. ... 24] Y. Steinberg and M. Gutman. An algorithm for source coding subject to a fidelity criterion,based upon string matching.
  30. Answer to Question 6 (Dr Forster’s ‘Nice’ Structured Proof ...

    https://www.dpmms.cam.ac.uk/~tef10/cam_only/bakerproof6.pdf
    8 Apr 2013:  R(sk3, sk4) (sk1 = sk3 sk2 = sk4) Introduction (20, 24).
  31. 8 Jan 2021: Suppose j = 3 and i = 24, so that ψ has three argument placesand there are 24 variables to be dealt with.
  32. Lossless Compression with Moderate Error Probability

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/MDP.pdf
    5 Jun 2020: Previous work along theselines has been described in [24]–[29]. These studies reportthat error probability vanishes sub-exponentially fast, and theycharacterize the rate of this decay. ... 24] J. Chen, D.-k. He, A. Jagmohan and L. A. Lastras-Montaño,
  33. Modular forms and L-functions (Michaelmas 2019) — example sheet ...

    https://www.dpmms.cam.ac.uk/~ajs1005/modular/ex-sheet-4-2019.pdf
    28 Nov 2019: 4. Let E2(z) = 1 24. n=1 σ1(n)qn = (3/π2)G2(z) as in sheet 2, Q8.
  34. Estimating the Entropy Rate of Spike Trains Yun GaoDiv. ...

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/spikes-CISS.pdf
    5 Jun 2020: In-form. Theory, 24:530–536, 1978. 3.
  35. The ODE Method and Spectral Theory of Markov Operators ...

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/hkm.pdf
    5 Jun 2020: Sadhana, 24(4-5):425{452, 1999. Chance as necessity. 8. V.S. Borkar and S.P. ... Sadhana, 24(4-5):369{423, 1999. Chance as necessity. 16. S.V. Hanly and D.
  36. 23 May 2024: 1. 5.1 Averaging and reductions. 21. 5.2 Slicing. 24. 5.3 Congruence conditions.
  37. Spaces of manifolds

    https://www.dpmms.cam.ac.uk/~or257/slides/Princeton2022.pdf
    13 Apr 2022: 40. 42. 44. 46. 48. 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56
  38. Example sheet 3, Galois Theory, 2021 1. Let M/K ...

    https://www.dpmms.cam.ac.uk/study/II/Galois/2021-2022/ex3_2021.pdf
    15 Oct 2021: Find a monic polynomial over Z of degree 4 whoseGalois group is V = {e, (12)(34), (13)(24), (14)(23)}.
  39. Induction.dvi

    https://www.dpmms.cam.ac.uk/~tef10/cam_only/Induction.pdf
    8 Apr 2013: 3 7 11.66 2 4 13 15.57 2 5 15 19.78 2 6 22 24.09 3 6 23 28.5.
  40. Ek-algebras and homological stability

    https://www.dpmms.cam.ac.uk/~or257/slides/eCHT.pdf
    16 Jan 2020: Figure 1: Hd(Γg,1, Γg1,1; Q);? means unknown,? means not zero. Non-zero groups: use results of Faber, Kontsevich, Morita.24.
  41. 16 Jan 2024: where. νabcd =1. 24. det(η)εabcd. The coordinates (w,z,w̃, z̃) are called double null coordinates. ... wγn = z̃γn1 and zγn = w̃γn1. (24). The Birkhoff factorization F = f̃1f is given by4.
  42. Possible Thesis Topics Thomas Forster March 23, 2019 • ...

    https://www.dpmms.cam.ac.uk/~tef10/thesistopics.pdf
    23 Mar 2019: Notre Dame Journal of Formal Logic55 (1):11-24 (2014). [2] Crabbé, Marcel “Stratification and Cut-elimination”.
  43. Hamilton Paths in Certain Arithmetic Graphs Paul A. Russell∗† ...

    https://www.dpmms.cam.ac.uk/~par31/preprints/hamilton.pdf
    30 Jan 2005: But what we need is simply a Hamilton path from 0to 54 in G3 [[0, 21] {24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60}], for which ... 0, 3, 1, 4, 7, 10, 13, 16, 19, 57, 60, 20, 17, 14, 11, 8, 5, 2, 6, 9, 12, 15, 18, 21,24, 27, 30, 33, 36, 39, 42,
  44. Lent Term 2016 O. Randal-Williams IB Groups, Rings, and ...

    https://www.dpmms.cam.ac.uk/~or257/teaching/IBGRM/Sheet3.pdf
    15 Feb 2016: X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4.
  45. filtersurprise.dvi

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/filtering.pdf
    5 Jun 2020: Filtering: The Case for “Noisier” Data. B. Lucena I. Kontoyiannis†. August 24, 2005.
  46. talk.dvi

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/mdl-msri.pdf
    5 Jun 2020: 24. Step 7. Applications: Preprocessing in VQ Design. Remarks. So far, everything based on “measures (random) codes” correspondencePractical implications?
  47. MATHEMATICAL TRIPOS PART II (2022–2023)CODING AND CRYPTOGRAPHY…

    https://www.dpmms.cam.ac.uk/study/II/Coding/2022-2023/CC3-20.pdf
    11 Jan 2023: Colourtransmission requires three times the amount of data than Mariner 9 needed, so a Golay (24,12,8) code wasused.
  48. talk.dvi

    https://www.dpmms.cam.ac.uk/~ik355/AWMCMC/AWMCMC_talks/IK.pdf
    6 Jun 2020: Which Spectrum? I. KontoyiannisAthens U. of Econ & Business. joint work with S.P. Meyn. University of Illinois/Urbana-Champaign. Athens Workshop on MCMC Convergence and Estimation. 1. Outline. Motivation. In general:Geometric ergodicity spectral gap
  49. vt06final.dvi

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/vt.pdf
    5 Jun 2020: Γn(F) will be to obtain a bound on the deviationprobability (24) with an appropriately chosen shadowfunction D. ... Probab., 24(2):916–931, 1996. [17] P.W. Glynn and D. Ormoneit. Hoeffding’s inequality foruniformly ergodic Markov chains.
  50. The Complexity and Entropy of Literary Styles� I. Kontoyiannisy ...

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/english.pdf
    5 Jun 2020: In his landmark 1948 paper, [24], Shannon dened the entropy and the redundancy of a language,. ... 24] C.E. Shannon. A mathematical theory of communication. Bell System Technical J., 27:379{.
  51. Simulated Convergence Rates with Application to anIntractable…

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/CAMSAP.pdf
    5 Jun 2020: the latter in terms ofthe commonly used divergence measures, such as Kullback-Leibler divergence (KLD) and α-divergence, see [24]. ... dissertation, Kaiserslautern University of Technology, 2014. [24] Minka, T., “Divergence measures and message passing

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