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  2. 16 Oct 2009: GENERICITY OF GEODESIC FLOWS WITH POSITIVETOPOLOGICAL ENTROPY ON S2. GONZALO CONTRERAS-BARANDIARÁN AND GABRIEL P. PATERNAIN. Abstract. We show that the set of C riemannian metrics on S2 or RP 2 whose geodesicflow has positive topological entropy
  3. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=33
    18 Jul 2024: AI Malz, R Hlozek, TJ Allam, A Bahmanyar, R Biswas, M Dai, L Galbany, EEO Ishida, SW Jha, DO Jones, R Kessler, M Lochner, AA Mahabal, KS Mandel, JR Martinez-Galarza,
  4. 30 Mar 2022: Graded Lie Algebras, Compactified Jacobians and ArithmeticStatistics. Jef Laga. March 30, 2022. Abstract. A simply laced Dynkin diagram gives rise to a family of curves over Q and a coregular representation,using deformations of simple singularities
  5. Équations aux Dérivées PartiellesCours de Paul VigneauxNotes de…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/L3-Analyse-EDP.pdf
    26 Apr 2018: Équations aux Dérivées PartiellesCours de Paul VigneauxNotes de Alexis Marchand. ENS de LyonS2 2017-2018. Niveau L3. Table des matières1 Équations de transport 2. 1.1 Équations différentielles ordinaires (EDO). 21.2 Équations de transport
  6. Topics in Analysis T. W. Körner October 4, 2022 ...

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2022-2023/Topic.pdf
    12 Dec 2022: Indeed,. pn(t) =nj=0. (n. j. )f(j/n)tj(1 t)nj. (ii) ‖pn f‖ 0 as n.
  7. Topics in Analysis T. W. Körner November 19, 2021 ...

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2021-2022/Topic.pdf
    21 Nov 2021: Indeed,. pn(t) =nj=0. (n. j. )f(j/n)tj(1 t)nj. (ii) ‖pn f‖ 0 as n.
  8. HIGHER DESCENTS ON AN ELLIPTIC CURVEWITH A RATIONAL 2-TORSION ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/higherdesc.pdf
    11 Sep 2015: αk 7 αk1 7. 7 α2 7 α1 and. (6) 〈αj,β〉 = 0 for all β Sel(tj) and 1 j k.
  9. A First Look at Fourier Analysis T. W. Körner ...

    https://www.dpmms.cam.ac.uk/~twk10/Prince.pdf
    2 Aug 2003: tm) =m. j=1 K(tj)then we have the following results.(i) 1.
  10. Topics in Analysis T. W. Körner August 25, 2018 ...

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2018-2019/Topic.pdf
    10 Jan 2019: Indeed,. pn(t) =nj=0. (n. j. )f(j/n)tj(1 t)nj. (ii) ‖pn f‖ 0 as n.
  11. Rings and Modules Old Syllabus for O4 T. W. ...

    https://www.dpmms.cam.ac.uk/~twk10/Rings.pdf
    16 Nov 2004: where tj =j. k=0 rjskj. Neither the next lemma nor its proof present any surprises.
  12. GLOBAL SECTIONS OF EQUIVARIANT LINE BUNDLES ON THE p-ADIC ...

    https://www.dpmms.cam.ac.uk/~sjw47/Drinfeld.pdf
    20 Dec 2023: Wedefine. A〈/r,s/〉 :=. jZ. ajj. jZ. Aj : lim|j|. |aj|tj = 0 if s 6 t 6 r. ... and give it the norm jZ ajj. := sups6t6r supjZ |aj|tj.Of course this norm can be written in the somewhat less symmetric form.
  13. 17 Mar 2017: and the holding times are. T1 = Si1 (s Ji) and Tj = Sij, j 2,. ... Moreover, the times Tj for j 2 are independentand independent of Sk for k i, and hence independent of (Xr)rs.
  14. M2PM1: Real Analysis Dr. Claude Warnick August 24, 2017 ...

    https://www.dpmms.cam.ac.uk/~cmw50/resources/M2PM1/M2PM1.pdf
    15 Oct 2021: M2PM1: Real Analysis. Dr. Claude Warnick. August 24, 2017. Abstract. In first year analysis courses, you learned about the real numbers andwere introduced to important concepts such as completeness; convergenceof sequences and series; continuity;
  15. Analysis I Course C5 T. W. Körner September 18, ...

    https://www.dpmms.cam.ac.uk/~twk10/C5.pdf
    18 Sep 2007: Analysis I. Course C5. T. W. Körner. September 18, 2007. Small print The syllabus for the course is defined by the Faculty Board Schedules (which. are minimal for lecturing and maximal for examining). I should very much appreciate. being told of
  16. Proofs for some results inTopics in Analysis T. W. ...

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2023-2024/Caesar.pdf
    25 Oct 2023: n. j. )f(j/n)tj(1 t)nj. (ii) Automatically,. EYn = EX1 X2 Xn.
  17. MINIMAL ENTROPY AND COLLAPSING WITH CURVATUREBOUNDED FROM BELOW…

    https://www.dpmms.cam.ac.uk/~gpp24/minent02.pdf
    9 Sep 2002: MINIMAL ENTROPY AND COLLAPSING WITH CURVATUREBOUNDED FROM BELOW. GABRIEL P. PATERNAIN AND JIMMY PETEAN. Abstract. We show that if a closed manifold M admits an F-structure (not nec-essarily polarized, possibly of rank zero) then its minimal entropy
  18. Part II Algebraic Topology Henry Wilton November 8, 2019 ...

    https://www.dpmms.cam.ac.uk/~hjrw2/AT%20lecture.pdf
    8 Nov 2019: Part II Algebraic Topology. Henry Wilton. November 8, 2019. 0 Introduction. Topology is often loosely defined as ‘rubber-band geometry’. Perhaps a morerigorous definition is that topology is the study of continuous maps. Here is a question that
  19. Analysis I Prof. T. W. Körner Lent 2003 Contents ...

    https://www.dpmms.cam.ac.uk/~twk10/ExAn1.pdf
    4 Aug 2009: Analysis I. Prof. T. W. Körner. Lent 2003. Contents. 1 Why do we bother? 2. 2 The axiom of Archimedes 3. 3 Series and sums 6. 4 Least upper bounds 10. 5 Continuity 14. 6 Differentiation 18. 7 The mean value theorem 22. 8 Complex variable 27. 9
  20. Raising the level and symmetric power functoriality, II Laurent ...

    https://www.dpmms.cam.ac.uk/~jat58/lrspii.pdf
    20 Feb 2013: ti/tj | 1 i < j m}{titj | 1 i j m}.
  21. Department of Pure Mathematics and Mathematical StatisticsUniversity…

    https://www.dpmms.cam.ac.uk/~tkc10/GeometryandGroups/GeometryandGroups.pdf
    27 Nov 2012: The real numbers tj can be written as tj = kj t′j with kj Zand 0 6 t′j < 1.

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