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  2. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=104
    29 Jun 2024: Statistics and Computing. (2008). 20,. 1. (doi: 10.1007/s11222-008-9108-5). Light bending in Schwarzschild-de Sitter: Projective geometry of the optical metric.
  3. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=100
    29 Jun 2024: The New Scientist. (2009). 203,. 20. (doi: 10.1016/s0262-4079(09)62147-3). SIS, An R package for (Iterative) Sure Independence Screening for generalized linear models and Cox's proportional
  4. 11 Mar 2024: J. Group Theory (Volume 20 Issue 5, Sept 2017).
  5. Graph Theory (2019–20) Example Sheet 3 of 4 1. ...

    https://www.dpmms.cam.ac.uk/study/II/Graphs/2019-2020/examples-GT-19-3.pdf
    18 Nov 2019: Graph Theory (2019–20) Example Sheet 3 of 4. 1. Let G = Ks,t.
  6. Graph Theory (2019–20) Example Sheet 2 of 4 1. ...

    https://www.dpmms.cam.ac.uk/study/II/Graphs/2019-2020/examples-GT-19-2.pdf
    28 Oct 2019: Graph Theory (2019–20) Example Sheet 2 of 4. 1. For which n and m is Kn,m Hamiltonian?
  7. ItinérENSSemestre 2 2019-20 Cours 2 (A2)Le petit-déjeuner Mardi 19 ...

    https://www.dpmms.cam.ac.uk/~aptm3/docs/itinerens/FLE-19-20-S2-Cours2.pdf
    15 May 2020: ItinérENSSemestre 2 2019-20. Cours 2 (A2)Le petit-déjeuner. Mardi 19 mai 2020.
  8. ItinérENSSemestre 2 2019-20 Cours 3 (A2)Parler de ses projets ...

    https://www.dpmms.cam.ac.uk/~aptm3/docs/itinerens/FLE-19-20-S2-Cours3.pdf
    19 May 2020: ItinérENSSemestre 2 2019-20. Cours 3 (A2)Parler de ses projets. Mardi 26 mai 2020.
  9. Graph Theory (2019–20) Example Sheet 1 of 4 1. ...

    https://www.dpmms.cam.ac.uk/study/II/Graphs/2019-2020/examples-GT-19-1.pdf
    9 Oct 2019: Graph Theory (2019–20) Example Sheet 1 of 4. 1. Show that every graph (of order at least two) has two vertices of the same degree.
  10. 1 Jun 2024: Discrete Analysis 20, 2020, 16 pp.
  11. ItinérENSSemestre 2 2019-20 Cours 1 (A2)D’où venez-vous ? Vendredi ...

    https://www.dpmms.cam.ac.uk/~aptm3/docs/itinerens/FLE-19-20-S2-Cours1.pdf
    12 May 2020: ItinérENSSemestre 2 2019-20. Cours 1 (A2)D’où venez-vous? Vendredi 15 mai 2020.
  12. Graph Theory (2019–20) Example Sheet 4 of 4 1. ...

    https://www.dpmms.cam.ac.uk/study/II/Graphs/2019-2020/examples-GT-19-4.pdf
    18 Nov 2019: Graph Theory (2019–20) Example Sheet 4 of 4. 1. Prove that R(3,3) = 6 and R(3,4) = 9.
  13. Department of Pure Mathematics and Mathematical Statistics

    https://www.dpmms.cam.ac.uk/study/IB/MetricTopologicalSpaces/index.html
    15 Oct 2019: Example sheet 2 (updated 15 Aug, 2012). 2010 - 2011. updated 20 May, 2011.
  14. Jacob Rasmussen

    https://www.dpmms.cam.ac.uk/~jar60/
    21 Oct 2022: This page was last updated on October 20, 2022. Based on a design by Henry Wilton.
  15. ItinérENSSemestre 2 2019-20 Niveau A2Les verbes de déplacement Mardi…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/itinerens/FLE-19-20-S2-Cours5.pdf
    6 Jun 2020: ItinérENSSemestre 2 2019-20. Niveau A2Les verbes de déplacement. Mardi 9 juin 2020.
  16. 200 Years of Trinity Combinatorics - Programme | Department of Pure…

    https://www.dpmms.cam.ac.uk/200-years-trinity-combinatorics-programme
    29 Jun 2024: 18.00-20.00. Drinks Reception. Old Combination Room, Trinity College. Department of Pure Mathematics and Mathematical Statistics.
  17. ItinérENSSemestre 2 2019-20 Niveau A2Parler de son lieu de ...

    https://www.dpmms.cam.ac.uk/~aptm3/docs/itinerens/FLE-19-20-S2-Cours4.pdf
    6 Jun 2020: ItinérENSSemestre 2 2019-20. Niveau A2Parler de son lieu de vie. Mardi 2 juin 2020.
  18. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=22%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    29 Jun 2024: 2021). 15,. 363. (doi: 10.1214/20-aoas1401). Fundamental Limits of Lossless Data Compression With Side Information. ... 2021). 57,. 408. (doi: 10.1214/20-AIHP1083). Nonparametric estimation for linear SPDEs from local measurements.
  19. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=21%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    29 Jun 2024: doi: 10.1214/20-AOP1471). High-dimensional nonparametric density estimation via symmetry and shape constraints. ... 2021). 49,. 1081. (doi: 10.1214/20-AOS1994). Polynomial term structure models. S Cheng, MR Tehranchi. –
  20. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=24%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    29 Jun 2024: 2020). 56,. 2621. (doi: 10.1214/20-aihp1052). Logarithmic corrections to scaling in the four-dimensional uniform spanning tree. ... 2020). 56,. 2745. (doi: 10.1214/20-aihp1057). On automorphisms of high-dimensional solid tori.
  21. Mich 2019 SJW Representation Theory — Examples Sheet 3 ...

    https://www.dpmms.cam.ac.uk/~sjw47/2019ex3.pdf
    12 Nov 2019: Use these to reconstruct thecharacter table of S5. Then repeat, replacing S4 by the subgroup 〈(12345), (2354)〉 of S5 of order 20.
  22. cv2024.dvi

    https://www.dpmms.cam.ac.uk/~mg475/cv2024.pdf
    21 Jan 2024: Somerville: MA, International Press, 1999, 341–403. Curriculum Vitae. [20] With S.
  23. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=20%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    29 Jun 2024: 818. (doi: 10.3150/20-BEJ1256). Conformal covariance of the Liouville quantum gravity metric. ... 2021). 57,. 1016. (doi: 10.1214/20-AIHP1105). A note on extensions of multilinear maps defined on multilinear varieties.
  24. 8 Feb 2019: Theorem 2.20 (Principle of isolated zeros). Assume that f : D(w,R) C is a holomorphicfunction which is not identically zero. ... Here is another important consequence of Theorem 2.20. Corollary 2.21 (‘Identity Theorem’).
  25. schedule

    https://www.dpmms.cam.ac.uk/~rbdt2/NAGR/NAGR_schedule_cont.pdf
    9 Nov 2023: 15:00. 15:05. 15:10. 15:15. 15:20. 15:25. 15:30. 15:35. Wednesday 11/Oct:. Tousif Islam (KITP, UC Santa Barbara)Connection between linear perturbation theory and
  26. Women and the RAE Rachel Camina & Cathy Hobbs ...

    https://www.dpmms.cam.ac.uk/~rdc26/netrae.pdf
    28 Sep 2003: On Fixed Term Contract 22 23 24 25 22-25% of Female Staff 47 27 20 14 21% of Male Staff 15 13 13 11 13. ... Age Distribution. Age 20-29 30-39 40-49 50-59 60+% of Female Staff 6 50 19 19 6% of Male Staff 6 25 24 28 17.
  27. ANALYSIS I EXAMPLES 4 G.P. Paternain Lent 2022 Comments ...

    https://www.dpmms.cam.ac.uk/~gpp24/aI_4_22.pdf
    17 Feb 2022: Show that. In = 1/20. f(t/n) dt and hence that |In| 1/9n2. ... 7. Let In = π/20. cosn x. Prove that nIn = (n1)In2, and hence 2n2n1 I2n1/I2n 1.
  28. ANALYSIS I EXAMPLES 4 G.P. Paternain Lent 2010 Comments ...

    https://www.dpmms.cam.ac.uk/~gpp24/aI4.pdf
    15 Feb 2010: dx log n for n N. Show that In =. 1/20. f (t/n) dt and hence that|In| < 1/9n2. By considering. ... 7. Let In = π/20. cosn x. Prove that nIn = (n 1)In2, and hence 2n2n1 I2n1/I2n 1.
  29. Oscar Randal-Williams DPMMSCentre for Mathematical…

    https://www.dpmms.cam.ac.uk/~or257/CV.pdf
    15 May 2024: Graduate supervisor Cambridge PhD supervisor for Nina Friedrich 2014-17, Nils Prigge 2016-20, Ismael.
  30. Mich. 2016 NUMBERS AND SETS—EXAMPLES 2 PAR 1a) Find ...

    https://www.dpmms.cam.ac.uk/~par31/ns/2.pdf
    26 Oct 2016: 5. Without using a calculator, find the remainder when 20!2120 is divided by 23, and the.
  31. ANALYSIS I EXAMPLES 4 G.P. Paternain Lent 2021 Comments ...

    https://www.dpmms.cam.ac.uk/~gpp24/aI_4_21.pdf
    18 Feb 2021: Show that. In = 1/20. f(t/n) dt and hence that |In| < 1/9n2. ... 7. Let In = π/20. cosn x. Prove that nIn = (n1)In2, and hence 2n2n1 I2n1/I2n 1.
  32. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=19%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    29 Jun 2024: doi:…. 20. …. Department of Pure Mathematics and Mathematical Statistics. Centre for Mathematical Sciences.
  33. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=17%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    29 Jun 2024: 49,. 2457. (doi: 10.1214/20-AOS2041). Refined regularity of SLE. Y Yuan. (2021).
  34. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=16%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    29 Jun 2024: Search site. Department of Pure Mathematics and Mathematical Statistics. People. Publications. Tips on using this search form. All search terms are case-insensitive. If you specify more than one search option (e.g. you search for both "Authors" and
  35. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=30%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    29 Jun 2024: ARTN 18. (doi: 10.1214/20-EJP425). Tuning-free plug-and-play proximal algorithm for inverse imaging problems.
  36. M 2003 NUMBERS AND SETS – EXAMPLES SHEET 2 ...

    https://www.dpmms.cam.ac.uk/~wtg10/nasex2.pdf
    20 Oct 2004: There are four primes between 0 and 10 and four between 10 and 20. ... 20. The repeat of a positive integer is obtained by writing it twice in a row (so for example.
  37. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=25%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    29 Jun 2024: 2952. (doi: 10.1214/20-AOP1441). Teaching and Learning in Uncertainty. V Jog, PL Loh. –
  38. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=26%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    29 Jun 2024: 1. (doi: 10.1214/20-ECP331). Existence and uniqueness of the Liouville quantum gravity metric for $gamma in (0,2)$.
  39. ANALYSIS I EXAMPLES 4 G.P. Paternain Lent 2012 Comments ...

    https://www.dpmms.cam.ac.uk/~gpp24/aI_4.pdf
    14 Feb 2012: dx log n for n N. Show that In =. 1/20. f (t/n) dt and hence that|In| < 1/9n2. By considering. ... 7. Let In = π/20. cosn x. Prove that nIn = (n 1)In2, and hence 2n2n1 I2n1/I2n 1.
  40. ANALYSIS I EXAMPLES 4 G.P. Paternain Lent 2011 Comments ...

    https://www.dpmms.cam.ac.uk/~gpp24/aI-4.pdf
    3 Mar 2011: dx log n for n N. Show that In =. 1/20. f (t/n) dt and hence that|In| < 1/9n2. By considering. ... 7. Let In = π/20. cosn x. Prove that nIn = (n 1)In2, and hence 2n2n1 I2n1/I2n 1.
  41. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=34%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    29 Jun 2024: 2019). 20,. 3019. (doi: 10.1007/s00023-019-00829-9). The Met Office Weather Game: Investigating how different methods for presenting probabilistic weather forecasts influence decision-making.
  42. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=23%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    29 Jun 2024: Electronic Journal of Probability. (2020). 25,. 1. (doi: 10.1214/20-EJP548). Physics-Informed Machine Learning Simulator for Wildfire Propagation.
  43. ex3.dvi

    https://www.dpmms.cam.ac.uk/~sjw47/RepTh3.pdf
    21 Feb 2012: Use these to reconstruct thecharacter table of S5. Then repeat, replacing S4 by the subgroup 〈(12345), (2354)〉 of S5 of order 20.
  44. Applied probability, Lent 2024 ss2871@cam.ac.uk Example Sheet 4…

    https://www.dpmms.cam.ac.uk/study/II/AppliedProbability/2023-2024/ex4.pdf
    25 Jan 2024: A barber takes an exponentially distributed amount of time, with mean 20 minutes, to completea haircut.
  45. Jacob A. RasmussenCurriculum Vitae Address: Department of Pure…

    https://www.dpmms.cam.ac.uk/~jar60/Rasmussen_cv_2022.pdf
    23 Oct 2022: Research Students:. Fan Ye 2019–22 PhD spring 2022Adam Baranowski 2017–Adam Goucher 2016–20 PhD autumn 2020Tom Brown 2014–18 PhD spring 2018Claudius Zibrowius 2013–17 PhD spring 2017Tom Gillespie
  46. Pierre RAPHAËL Herchel Smith Professor of Pure MathematicsDepartment …

    https://www.dpmms.cam.ac.uk/files/raphael/cv-complet-2023.pdf
    13 Mar 2023: 20] Martel, Y.; Merle, F.; Raphaël, P.; Blow up for the critical gKdV equation II: minimal mass blow up, J. ... Funct. Anal. 20 (2010), no. 4, 10281071. [34] Raphaël, P.; Szeftel, J., Standing ring blow up solutions to the N-dimensional quintic
  47. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=37%2CCONCAT%280x716b767071%2C%28SELECT%20%28ELT%282383%3D2383%2C1%29%29%29%2C0x7178767871%2CFLOOR%28RAND%280%29%2A2%29%29x%20FROM%20INFORMATION_SCHEMA.PLUGINS%20GROUP%20BY%20x%29a%29
    29 Jun 2024: The Astrophysical Journal Supplement Series. (2019). 241,. 20. (doi: 10.3847/1538-4365/ab0557).
  48. MATHEMATICAL TRIPOS PART II (2023–2024)CODING AND CRYPTOGRAPHY…

    https://www.dpmms.cam.ac.uk/study/II/Coding/2023-2024/CC4-20.pdf
    28 Feb 2024: 12 Implement Shamir’s (k,n)-threshold scheme (i.e. the ‘secret sharing’) of Chapter 20,taking k = 2, n = 3, xj = j 1, p = 7, a0 = S = 2 and a1 =
  49. talk.dvi

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/secondtalk.pdf
    5 Jun 2020: I( 3 " $0! $ 1" , % IJJ. '! ) ). ,,, 8 8. << /ASCII85EncodePages false /AllowTransparency false /AutoPositionEPSFiles true /AutoRotatePages /All /Binding /Left /CalGrayProfile (Dot Gain 20%) /CalRGBProfile (sRGB IEC61966-2.1) /CalCMYKProfile (U.S.
  50. Study group 2021: ‘Modularity lifting theorems’ Time: 14.30 UK ...

    https://www.dpmms.cam.ac.uk/~jcsl5/automorphylifting/ALTschedule.pdf
    16 Apr 2021: 2. 14 Automorphy lifting: patching (13/05)Lecture 20: Automorphy lifting: proof, patching.Speaker: Jun. ... Automorphy lifting (06/05). Automorphy lifting: patching (13/05). Automorphy lifting: the Taylor-Wiles method (20/05).
  51. Diffeomorphisms of discs

    https://www.dpmms.cam.ac.uk/~or257/slides/Copenhagen2020.pdf
    8 Sep 2020: Theorem. [Krannich–Kupers–R-W ’20]π3(Rsec>0(HP2)) Q 6= 0. Similarly for Ric > 0, scal > 0. ... Evidence. [Knudsen–Kupers ’20]If d 6, Md 2-connected, M = Sd1 then.

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