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Clément Mouhot
https://www.dpmms.cam.ac.uk/~cm612/10 Dec 2023: E-mail: C.Mouhot "at" dpmms "dot" cam "dot" ac "dot" uk. Office: E1.20 - Phone: 44 (0)1223337927. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IB/LinearAlgebra/24 Nov 2023: Page last modified: Tuesday, 20-Nov-2018 11:17:05 GMT. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IA/Groups/20 Nov 2023: Page last modified: Tuesday, 20-Nov-2018 10:43:05 GMT. -
Yizheng Yuan
https://www.dpmms.cam.ac.uk/~yy547/16 Nov 2023: Summer 2020: Analysis III (TA). Winter 2019/20: Analysis II (TA). Summer 2019: Maß- und Integrationstheorie (TA). -
Alexis Marchand
https://www.dpmms.cam.ac.uk/~aptm3/colles/14 Dec 2023: Colle 20 : Matrices - Dimension finie. -
Alexis Marchand
https://www.dpmms.cam.ac.uk/~aptm3/fr/colles/14 Dec 2023: Colle 20 : Matrices - Dimension finie. -
Alexis Marchand
https://www.dpmms.cam.ac.uk/~aptm3/itinerens/14 Dec 2023: Cours 6 : L'impératif. 2019-20 - Second term - A2. -
Mich 2023 SJW Representation Theory — Examples Sheet 3 ...
https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2023-2024/2023ex3.pdf3 Nov 2023: Use these to reconstruct thecharacter table of S5. Then repeat, replacing S4 by the subgroup 〈(12345), (2354)〉 of S5 of order 20. -
Lent Term 2023 O. Randal-Williams Part III Characteristic classes ...
https://www.dpmms.cam.ac.uk/~or257/teaching/IIIKThy2023/Sheet4.pdf13 Mar 2023: Investigate what this means for n 20. 5. Show that the sphere bundle of (γ1,n1C )k CPn is homeomorphic to the manifold L2n1k =. S2n1/(Z/k), where Z/k acts -
Applied probability, Lent 2023 ss2871@cam.ac.uk Example Sheet 4…
https://www.dpmms.cam.ac.uk/study/II/AppliedProbability/2022-2023/ex4.pdf31 Jan 2023: A barber takes an exponentially distributed amount of time, with mean 20 minutes, to completea haircut. -
ANALYSIS I EXAMPLES 4 C. M. Warnick Lent 2023 ...
https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2022-2023/Analysis%20Sheet%204.pdf8 Mar 2023: Show that. In = 1/20. f(t/n) dt and hence that |In| 6 1/9n2. ... 7. Let In = π/20. cosn x. Prove that nIn = (n 1)In2, and hence 2n2n1 6I2n1I2n. -
Michaelmas Term 2023-24 Numbers and Sets: Examples Sheet 1 ...
https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2023-2024/numset1_2023.pdf12 Oct 2023: 2. There are four primes between 0 and 10 and between 10 and 20. -
Pierre RAPHAËL Herchel Smith Professor of Pure MathematicsDepartment …
https://www.dpmms.cam.ac.uk/files/raphael/cv-complet-2023.pdf13 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 -
Demystifying the boundary to bound correspondence with Kerr geodesics
https://www.dpmms.cam.ac.uk/~rbdt2/NAGR/NAGR_12_vandeMeent.pdf9 Nov 2023: anm4:. 4.21:. 4.20:. 4.19:. 4.18:. 4.17:. 4.16:. 4.15:. 4.14:. 4.13:. 4.12:. ... 4.0:. anm3:. 3.21:. 3.20:. 3.19:. 3.18:. 3.17:. 3.16:. 3.15:. 3.14:. 3.13:. -
Mich 2023 FUNCTIONAL ANALYSIS – EXAMPLES 3 AZ 1. ...
https://www.dpmms.cam.ac.uk/~az10000/2023-mich-partiii-func-anal-sheet3.pdf14 Nov 2023: 20. Define a topology σ on X by declaring a set U X σ-open if and only ifU S is an open subset of S in the relative w-topology -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IB/LinearAlgebra/previous.html16 Oct 2023: Page last modified: Tuesday, 20-Nov-2018 11:17:05 GMT. -
Zimmerman_ModifiedTeukolsky
https://www.dpmms.cam.ac.uk/~rbdt2/NAGR/NAGR_03_Zimmerman.pdf9 Nov 2023: Perturbed black holes beyond Kerr. 20. • Now add dynamical perturbations to all fields. ... Hussain & AZ arXiv:2206.10653. Perturbed black holes beyond Kerr. 20. • Now add dynamical perturbations to all fields. • -
Michaelmas Term 2023 Julian Sahasrabudhe Linear Algebra: Example…
https://www.dpmms.cam.ac.uk/study/IB/LinearAlgebra/2023-2024/lin-alg-ex2-2023.pdf30 Oct 2023: Which over R? 8. Find the eigenvalues and give bases for the eigenspaces of the following complex matrices: 1 1 00 3 20 1 0. -
NAGR2023
https://www.dpmms.cam.ac.uk/~rbdt2/NAGR/NAGR_11_Wardell.pdf9 Nov 2023: 2-3-4-6-10-20-40. x = (M ϖ)2/3. . (l,m) = (2,2). q = 10ν = 0.0826. ... 2-3-4-6-10-20-40. x = (M ϖ)2/3. . (l,m) = (2,2). q = 1ν = 0.2500. -
Mich 2023 FUNCTIONAL ANALYSIS – EXAMPLES 4 AZ 1. ...
https://www.dpmms.cam.ac.uk/~az10000/2023-mich-partiii-func-anal-sheet4.pdf25 Nov 2023: 20. Let A be a unital Banach algebra. Let x A and assume that σA(x) contains noreal number t 6 0. -
Applied probability, Lent 2023. ss2871@cam.ac.uk Example Sheet 3 1.…
https://www.dpmms.cam.ac.uk/study/II/AppliedProbability/2022-2023/ex3.pdf31 Jan 2023: The service rates in D1 and D2 are µ1 = 15 and µ2 = 20 per day, respectively. -
Percolation Abstracts
https://www.dpmms.cam.ac.uk/~rb812/abstracts.pdf23 Jul 2023: 9:20-10:00Balint Toth. (Bristol & RenyiInst.). Jeff Steif(Chalmers). Frank denHollander(Leiden). Jean-François LeGall. ... Stanislav Volkov(Lund). 10:40-11:20 Coffee Coffee Coffee Coffee Coffee. 11:20-12:00 Tom Hutchcroft(Caltech)Zhongyang Li(Connecticut -
Mich 2023 FUNCTIONAL ANALYSIS – EXAMPLES 1 AZ 1. ...
https://www.dpmms.cam.ac.uk/~az10000/2023-mich-partiii-func-anal-sheet1.pdf7 Oct 2023: 20. Let (,F,µ) be a measure space and f L1(µ). Consider the complex measureν(A) =. Af dµ, A F, that satisfies ν µ. Show that |ν|(A) =. -
MATHEMATICAL TRIPOS PART II (2022–2023)CODING AND CRYPTOGRAPHY…
https://www.dpmms.cam.ac.uk/study/II/Coding/2022-2023/CC4-20.pdf11 Jan 2023: 16 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 = -
Automata & Formal LanguagesMichaelmas Term 2023 Part II of ...
https://www.dpmms.cam.ac.uk/study/II/AutomataAndFormalLanguages/2023-2024/M23_AFL_ES2.corrected.pdf23 Oct 2023: 20) Let G be the context-free grammar given by S ABS, S AB, A aA, A a, B bA. -
Lempel-Ziv and CTW entropy estimators forspike trains Yun GaoDiv. ...
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/lznips.pdf2 Apr 2023: For computational reasons, the plug-in estimator cannot go beyond word lengths ofabout 10 or 20, and hence it does not take into account the longer time dependence in thesignal. -
Alexis Marchand
https://www.dpmms.cam.ac.uk/~aptm3/fr/itinerens/14 Dec 2023: Cours 6 : L'impératif. 2019-20 - Second semestre - A2. -
Po-Ling Loh ContactInformation Statistical Laboratory Phone: +44…
https://www.dpmms.cam.ac.uk/~pll28/cv.pdf3 Oct 2023: Po-Ling Loh. ContactInformation. Statistical Laboratory Phone: 44 7935604684Centre for Mathematical Sciences E-mail: pll28@cam.ac.ukWilberforce Road, Cambridge,CB3 0WB. WWW: https://www.dpmms.cam.ac.uk/˜pll28. ResearchInterests. High-dimensional -
Jacob Rasmussen
https://www.dpmms.cam.ac.uk/~jar60/other.html5 Apr 2023: This page was last updated on October 20, 2022. Based on a design by Henry Wilton. -
Elliptic Curves and Modularity Jack A. Thorne Abstract We ...
https://www.dpmms.cam.ac.uk/~jat58/EMS.pdf29 Sep 2023: See also [20] for similar (and unconditional) resultsover real quadratic fields. ... Math. 201 (2015), no. 1, 159–206. 18 Jack A. Thorne. [20] , N. -
HX1Lycée Louis le Grand 2015-2016 Chimie Classe de Mathématiques ...
https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Chimie-Sup.pdf31 Aug 2023: BrBrome. 53 126.9. IIode. 85 210. AtAstate. 117 292. UusUnunseptium. 10 20.180. ... Propriété 3.20. L’ énergie d’ionisation augmente en traversant une période de gauche àdroite et diminue en descendant dans un groupe. -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IA/Groups/previous.html5 Oct 2023: DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. Page last modified: Tuesday, 20-Nov-2018 10:43:05 GMT. -
Princeton_2023
https://www.dpmms.cam.ac.uk/~rbdt2/NAGR/NAGR_09_Casals.pdf9 Nov 2023: Marc Casals. Universität Leipzig (Germany). Quantum effects inside black hole spacetimes. University College Dublin (Ireland). Centro Brasileiro de Pesquisas Físicas, CBPF (Brazil). PCTS workshop, Princeton, 11/10/2023. 3. Semiclassical gravity. -
Non-linear stability of black holes: a mathematical overview
https://www.dpmms.cam.ac.uk/~rbdt2/NAGR/NAGR_04_Giorgi.pdf9 Nov 2023: 20 / 22. Gauge assumptions on Dfin. In order to finally improve the bootstrap assumptions for all the Γ̌ and Ř,we need gauge assumptions on Dfin as well. -
COMPUTING THE CASSELS-TATE PAIRINGON THE 2-SELMER GROUP OF A ...
https://www.dpmms.cam.ac.uk/~taf1000/papers/genus2ctp.pdf14 Sep 2023: The 2-Selmergroup is. (20) S(2)(J/k) = ker. (H1(k,J [2]). v. H1(kv,J). ). ... The fake Selmer group is S(2)fake(J/k) = S(2)(J/k)/〈c〉. The analogue of (20) is. -
Topics in Analysis T. W. Körner October 25, 2023 ...
https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2023-2024/Topic.pdf25 Oct 2023: 7Some other proofs are given in Exercises 20.6, 20.7 and 20.8. ... The proof is givenin Exercise 20.10 but is not part of the course. -
Partial Solutions for Exercises inWhere do Numbers Come From? ...
https://www.dpmms.cam.ac.uk/~twk10/Ansnumber.pdf7 Jan 2023: There were 336 nuts originally. 20. Exercise 3.1.2. In modern notation, we must solve. ... 51. Exercise 4.3.20. Our initial calculations repeat Exercise 4.3.10. (i) We have. -
HX1Lycée Louis le Grand 2015-2016 Physique Classe de Mathématiques ...
https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Physique-Sup.pdf31 Aug 2023: 20. Chapitre 7Dipôles Linéaires Passifs en RégimeVariable. I Relations courant-tension en convention récepteur. ... G dB = 20 log |H|. Son déphasage φ est défini parφ = arg H. -
Modular curves and Ne19 eron models of generalized Jacobians
https://www.dpmms.cam.ac.uk/~ajs1005/preprints/neronfinal.pdf10 Feb 2023: simple descriptions in terms of the homologyand Laplacian of a generalized reduced dual graph (Corollary 1.20). ... There has been considerable interest in “Jacobians of graphs” — for example, Lorenzini[19, 20], Bacher–de la Harpe–Nagnibeda [1] -
REPRESENTATION THEORY SIMON WADSLEY Contents Lecture 1 21.…
https://www.dpmms.cam.ac.uk/~sjw47/2023Lectures.pdf29 Nov 2023: Example. ρ: C2 GL2(R); 1 7(1 20 1. )defines a representation (check). ... 20 SIMON WADSLEY. 4. Characters. Summary so far. We want to classify all representations of groups G. -
Cubical small-cancellation theory and large-dimensional hyperbolic…
https://www.dpmms.cam.ac.uk/~mcr59/thesis.pdf22 Aug 2023: Theorem 2.1.20 ([Hag08]). If ϕ : Y X is a local isometry, then:. ... Proof. One direction follows from Theorem 2.1.36, together with the π1-injectivity of localisometries stated in Theorem 2.1.20. -
MAT 449: Representation theory These lecture notes are in ...
https://www.dpmms.cam.ac.uk/~jcsl5/notes.pdf24 Oct 2023: Lemma 6.20. 1. If χ is an (irreducible) character, then so is χ̄. ... 20. 6.4 First projection formulaLecture 6starts here. We will now work our way towards proving Theorem 6.7. -
EQUIVARIANT LINE BUNDLES WITH CONNECTION ON THE p-ADIC UPPER ...
https://www.dpmms.cam.ac.uk/~sjw47/Drinfeld-I.pdf14 Sep 2023: c) Choose an arbitrary point x X. Since X is finite, M(X,Z) is isomorphic tothe (co)induced module IndGxG Z in the sense of [20, Chapter I, 6], where ... Thus. 20 KONSTANTIN ARDAKOV AND SIMON WADSLEY. by Proposition 3.1.4 again we can deduce that [L ] = -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/Galois/previous.html10 Oct 2023: Example sheet 1 updated 20 Oct 2010. -
Generalisations of hyperbolicityReading seminar University of…
https://www.dpmms.cam.ac.uk/~aptm3/docs/maths/2022-GeneralisationsOfHyperbolicity.pdf12 Jan 2023: Example 2.20 (continuing 2.16). (i) Let G = PSL2(Z) y H2, and let. ... 20. are constants K,C, such that for all a,b MCG(S),. dMCG(S)(a,b) K,CYS. -
Number Fields IID, Lent 2020* Comments/corrections to…
https://www.dpmms.cam.ac.uk/~ajs1005/nf2d/number_fields_notes.pdf1 Feb 2023: What is. it?We have dK = 20 so can take c =. 80π< 9. π< 3. So every ideal class contains. an ideal of norm 2. ... x1x2 = R. (Picture). 20. So apply Minkowski’s theorem, we need to choose a convex symmetric setcontained in this region. -
GLOBAL SECTIONS OF EQUIVARIANT LINE BUNDLES ON THE p-ADIC ...
https://www.dpmms.cam.ac.uk/~sjw47/Drinfeld.pdf20 Dec 2023: Theseresults further support the ‘rigid-analytic quantisation’ intuition: more general pre-cise conjectures in the direction of this philosophy can be found at [20, Chapter 5].The proofs in Chapter 3 ... 20 KONSTANTIN ARDAKOV AND SIMON WADSLEY. The -
Geoffrey 70 Budget
https://www.dpmms.cam.ac.uk/~rb812/schedule.pdf20 Jul 2023: Monday Tuesday Wednesday Thursday Friday. 9:20-10:00 Balint Toth(Bristol and Renyi Inst.)Jeff Steif. ... Mark Holmes(Melbourne). Asaf Nachmias(Tel Aviv). Stanislav Volkov(Lund). 10:40-11:20 Coffee Coffee Coffee Coffee Coffee. -
Proofs for some results inTopics in Analysis T. W. ...
https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2023-2024/Caesar.pdf25 Oct 2023: If |an1| n/2,then. P(t) = an1tn1 Q(t). 20. where Q(t) =n. ... Proof of Example 11.20. Let n = ′n ′′n and Kn = K′n K′′n where. -
HX1Lycée Louis le Grand 2015-2016 Mathématiques Classe de…
https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Mathematiques-Sup.pdf31 Aug 2023: On note G(E) l’ensemble des bijections de E sur E.Proposition 3.20. ... f ′ :. I Rx 7 lim. txτx(t). Définition 5.20 (Dérivabilité à droite, à gauche).
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