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  2. 29 Jun 2024: T Ma, KA Verchand, RJ Samworth. (2024). (link to publication). A new computational framework for log-concave density estimation.
  3. 29 Jun 2024: T Ma, KA Verchand, RJ Samworth. (2024). (link to publication). Property $mathrm{(NL)}$ for group actions on hyperbolic spaces (with an appendix by Alessandro Sisto).
  4. Boundary rigidity for Lagrangian submanifolds, non–removable…

    https://www.dpmms.cam.ac.uk/~gpp24/intlag.pdf
    19 Feb 2003: Then. ‖A‖ = limk. (kA)k. Gromov showed [Gro2] that the open unit ball of the stable norm coincideswith the sectional shape of U.
  5. 29 Jun 2024: CJB BROOKES, KA BROWN. – Proceedings of the London Mathematical Society.
  6. Professor Tony Scholl | Department of Pure Mathematics and…

    https://www.dpmms.cam.ac.uk/person/ajs1005
    29 Jun 2024: Publications. Modular curves and Néron models of generalized Jacobians. BW Jordan, KA Ribet, AJ Scholl. –
  7. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=2
    29 Jun 2024: BW Jordan, KA Ribet, AJ Scholl. – Compositio Mathematica. (2024). 160,.
  8. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=180
    29 Jun 2024: CJB Brookes, KA Brown. – Transactions of the American Mathematical Society.
  9. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=166
    29 Jun 2024: AC Pell, KA Fox. – The BMJ. (1992). 305,. 1014. (doi: 10.1136/bmj.305.6860.1014-c).
  10. 28 Feb 2007: "!$#&%')(,.-0/214356,8793:<;='>:(?4@ ,.ACBED>79FG?4@IHKJ+@@LNM. O PRQ2S.TUVWXUVZY[]R_ab_VTcd_>e WXfK4gVShUVZY[jilkm_VTcRWnoa_V>pTcYnYXq9gShUVYn[VrdsQt_TvujZYnZfZsm >4"jwe WXfgVxS.Z yu R_at_VTc>QzW>Tx{"|P >eVT|Za{ )i}TcV[[h[gV|P_VTc>QI_VTduZYnZfZ)sm"
  11. 13 Feb 2006: Ì¡¢w PQP P z¡VRQCrhKo6 deWUdrÎWUYcWU Y RX4RXYj UkWU]w 0YcWÊi RSRQk P9î W RSTurq î RXjRX4z iUWRQYaEWzÛU P kà]w6mfE P __¥WdfIWUdqlRQkb P w9rIT_U_ cd klmf)¥ P ... df49 ¥c9[UYcWWU]W0 P lVi RQwÉY c>]wWqkbRQUd Kà] RQ($C}RKWdfWUd)&RXK¥4[U
  12. winskel02.dvi

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2014/etat14.pdf
    15 Mar 2013: It follows automatically, or if you prefer itcan be proved directly, that the family of right adjoints (kA). : ... That intuition is correct and one can argue. concretely since for AM7 SA, we have k̂(M )(a, a) = M (ka, a).
  13. The density of integral quadratic forms having ak-dimensional totally …

    https://www.dpmms.cam.ac.uk/~taf1000/papers/isotropic-subspaces.pdf
    22 Jan 2024: ρp(k,2k 1) =. aQp/(Qp)2P2k1(d(Q) = (1)ka,c(Q) = (1,a)k);. ρp(k,2k 2) = 1P2k2(d(Q) = (1)k1,c(Q) = 1). ... This gives four Qp-equivalence classes of forms, with invariants d(Q) = (1)ka andc(Q) = (1,a)k.
  14. Pseudo-commutative monads and pseudo-closed 2-categories⋆ ⋆⋆ Martin…

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2002/hp02.pdf
    29 Sep 2008: jA : I [A,A],– eA : [I,A] A natural in A,– kA = kA,B,C : [B,C] [[A,B], [A,C]] natural in A, B and C,. ... 1. IjB - [B,B]. [[A,B], [A,B]]. kA? j[A. ,B] -. 2.
  15. 29 Jan 2010: FJ;KA_y3M,5GF¤/¥Ì :¿Í6{ @ 63A0Aa3Q:A638:WY8:WY8,O]L263JPK]WYK5¤M,C A0a3AK]5_OJPCAaM,KpH¢8:9P9;8>}'KG58:3KXJ;a3AGOsF63A0a3JPKXFJ;3Q:c3JPK]63AaF]OJ;M,3Q:9;A ... Æ Î Ñ E- Æ' 1 O Æ Î Ó m ÆßÈ@
  16. Algebraic TopologyOscar Randal-Williams…

    https://www.dpmms.cam.ac.uk/~or257/teaching/notes/at.pdf
    31 Jan 2024: Algebraic TopologyOscar Randal-Williams. https://www.dpmms.cam.ac.uk/or257/teaching/notes/at.pdf. 1 Introduction 11.1 Some recollections and conventions. 21.2 Cell complexes. 3. 2 Homotopy and the fundamental group 42.1 Homotopy. 42.2 Paths. 72.3
  17. Transitive Sets in Euclidean Ramsey Theory Imre Leader∗† Paul ...

    https://www.dpmms.cam.ac.uk/~par31/preprints/ert.pdf
    22 Nov 2010: Let t = a! and d = t. By Ramsey’s theorem, there exists a positive integer b such that whenever[b](t) is ka-coloured, there exists a monochromatic subset of order ... We next induce a ka-colouring c5 of [b](t) by colouring the set R [b](t).
  18. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=5
    29 Jun 2024: R Hložek, AI Malz, KA Ponder, M Dai, G Narayan, EEO Ishida, TA AllamJr, A Bahmanyar, X Bi, R Biswas, K Boone, S Chen, N Du, A Erdem, L Galbany, A
  19. 16 Jan 2024: 4cK. cηab. (14). The general solution to eq. (14) is. Ka = Ta Labxb Rxa xbxbSa 2Sbxbxa,.
  20. GLOBAL SECTIONS OF EQUIVARIANT LINE BUNDLES ON THE p-ADIC ...

    https://www.dpmms.cam.ac.uk/~sjw47/Drinfeld.pdf
    20 Dec 2023: GLOBAL SECTIONS OF EQUIVARIANT LINE BUNDLES ON. THE p-ADIC UPPER HALF PLANE. KONSTANTIN ARDAKOV AND SIMON WADSLEY. Abstract. Let F be a finite extension of Qp, let F be Drinfeld’s upper half-plane over F and let G0 the subgroup of GL2(F )
  21. 17 Mar 2017: Let hA(x) = Px(TA < ) and kA(x) = Ex[TA]. Theorem 2.2. ... kA(x) = 0 x A. QkA(x) =y. qxykA(y) = 1 x / A.
  22. The Effective Topos J.M.E. HylandDepartment of Pure Mathematics,…

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/hyland-effectivetopos.pdf
    25 May 2016: The Effective Topos. J.M.E. HylandDepartment of Pure Mathematics, Cambridge, England. 0 IntroductionThe subject of this paper is the most accessible of a series of toposes whichcan be constructed from notions of realizability: it is that based on
  23. The Effective Topos J.M.E. HylandDepartment of Pure Mathematics,…

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub81-90/hyland-effectivetopos.pdf
    25 May 2016: The Effective Topos. J.M.E. HylandDepartment of Pure Mathematics, Cambridge, England. 0 IntroductionThe subject of this paper is the most accessible of a series of toposes whichcan be constructed from notions of realizability: it is that based on
  24. 26 Apr 2006: pjw6Onj[tkj"t8z}}nNpxoLsOvX}r6r[sOYj[v.Srt3nN vjwp3n.yro8zìáKáç!Ká%é¤èäYrodpxq6n66oLrtLn.tXrw|!pxq!sOt1Yj[hn.o.lQn6rW6r[p(o3nN6sOoLnjW6nNY!sSpxsSrBr[|!p3qYjwpÁlQntLsO}6Sz6n.nNpxr6rl
  25. Vanishing cycles and non-classical parabolic cohomologyA. J.…

    https://www.dpmms.cam.ac.uk/~ajs1005/preprints/van.pdf
    29 Jan 2010: y0! (R0iig Symk F)x! (R1g! Symk F)x! (R1g Symk F)x! 0k k kA B CHere the top line is the exact sequence (2.8.1), and the bottom
  26. Independence for Partition Regular Equations Imre Leader∗† Paul A. ...

    https://www.dpmms.cam.ac.uk/~par31/preprints/indeppr.pdf
    18 Sep 2006: Let A be a finite set and ka positive integer. Then there exists a positive integer d such that whenever Ad.
  27. lectures.dvi

    https://www.dpmms.cam.ac.uk/~md384/lectures.pdf
    8 Nov 2007: Definition 2.14. Let Σ be a 3-manifold, ḡ a Riemannian metric on Σ, and Ka symmetric covariant 2-tensor.
  28. aap100.dvi

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/firstJ.pdf
    5 Jun 2020: The Annals of Applied Probability2003, Vol. 13, No. 1, 304–362. SPECTRAL THEORY AND LIMIT THEOREMS FORGEOMETRICALLY ERGODIC MARKOV PROCESSES. BY I. KONTOYIANNIS1 AND S. P. MEYN2. Brown University and University of Illinois. Consider the partial
  29. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=179
    29 Jun 2024: CJB BROOKES, KA BROWN. – Transactions of the American Mathematical Society.
  30. Modi�ed Realizability Toposes and Strong Normalization Proofs…

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/ho93.pdf
    21 Aug 2008: 1. ): ka#. and. (S. 2. ) 9a 2 U:fa(ga)# =) sfg#:.
  31. Modi�ed Realizability Toposes and Strong Normalization Proofs…

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub91-00/ho93.pdf
    21 Aug 2008: 1. ): ka#. and. (S. 2. ) 9a 2 U:fa(ga)# =) sfg#:.
  32. HX1Lycée Louis le Grand 2015-2016 Physique Classe de Mathématiques ...

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Physique-Sup.pdf
    31 Aug 2023: On a donc ici Epe = 12 kA2 cos2(ωt φ). Au final, on obtient Em = Ec Epe = 12 kA. ... 2. On s’intéresse aux valeurs moyennes des différentes formes d’énergie. On a :. ⟨Ec⟩ =12 kA. 2〈sin2(ωt φ). 〉et ⟨Epe⟩ =. 12 kA. 2〈cos2(ωt φ).
  33. Modular Forms of Weight one Jef Laga Contents 1. ...

    https://www.dpmms.cam.ac.uk/~jcsl5/partIIIessay.pdf
    15 Feb 2021: Modular Forms of Weight one. Jef Laga. Contents. 1. Modular Forms 41.1. L-functions, twisting, converse theorems. 4. 1.1.1. Functional Equation. 41.1.2. Twisting. 61.1.3. Converse theorems. 6. 1.2. Eisenstein Series. 81.3. Hecke characters and
  34. Department of Pure Mathematics and Mathematical StatisticsUniversity…

    https://www.dpmms.cam.ac.uk/~tkc10/GeometryandGroups/GeometryandGroups.pdf
    27 Nov 2012: So b′ = b ka is also in Λ and has. ... b′| = t′|a| < |a|. The choice of a tells us that b′ must be 0, so b = ka Za as required.
  35. Sparse Partition Regularity Imre Leader∗† Paul A. Russell∗‡ June ...

    https://www.dpmms.cam.ac.uk/~par31/preprints/sparsepr.pdf
    6 Apr 2006: Let A be a finite set and ka positive integer. Then there exists a positive integer d such that whenever Ad.
  36. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=53
    29 Jun 2024: 75. (doi: 10.1112/blms/26.1.75). Injective Modules, Induction Maps and Endomorphism Rings. CJB BROOKES, KA BROWN. –
  37. Geometric Group TheoryLectures by Ana KhukhroNotes by Alexis Marchand …

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/PartIII-GeometricGroupTheory.pdf
    10 Mar 2020: Consider images of [0,) under ψe,ψh,ψk – at least two ofthese images will be at a bounded distance from each other, so at least two of A,hA,kA are
  38. INDEX TO SGA 1 INDEX TO SGA 1 �� ...

    https://www.dpmms.cam.ac.uk/~ajs1005/sga-index.pdf
    29 Jan 2010: INDEX TO SGA 1. INDEX TO SGA 1! " # $ % & $ ' & " ( # ) # # & , -! / #! 0 ' %! 1 2! 3 , -! / #! % / 2 # )! ' #! 4 , -! / #! # ) % & #! 5 # 6 # 7 # / #! # ) % & #! 38 9 % - - # ) # ) : " % / # % & # " #! / -! / #! # ) % & #! 8; < - - & $ % % ' = # = #
  39. Profinite Groups and Group Cohomology Gareth Wilkes Part III ...

    https://www.dpmms.cam.ac.uk/~grw46/LectureNotes2021.pdf
    19 Jan 2021: Profinite Groups. and Group Cohomology. Gareth Wilkes. Part III Lent Term 2021. Introduction. Much of the story of pure mathematics can be expressed as a desire to answerthe question ‘When are two objects different?’. Showing that two objects
  40. Hopf measuring comonoids and enrichment

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2017/hlfv17.pdf
    4 Apr 2018: Proc. London Math. Soc. (3) 115 (2017) 1118–1148 C2017 London Mathematical Societydoi:10.1112/plms.12064. Hopf measuring comonoids and enrichment. Martin Hyland, Ignacio López Franco and Christina Vasilakopoulou. Abstract. We study the existence
  41. Geometric inverse problems with emphasis on two dimensions Gabriel ...

    https://www.dpmms.cam.ac.uk/~gpp24/GIP2D_driver.pdf
    1 Feb 2023: Geometric inverse problems. with emphasis on two dimensions. Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann. iii. To our families and all who have supported us. This material has been published by Cambridge University Press & Assessment
  42. HX1Lycée Louis le Grand 2015-2016 Mathématiques Classe de…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Mathematiques-Sup.pdf
    31 Aug 2023: HX1Lycée Louis le Grand 2015-2016. Mathématiques. Classe de Mathématiques Supérieures. Cours de Véronique Lods. Notes de Alexis Marchand. Table des matières. 1 Complexes 1I Définition de C. 1II Conjugaison et module. 1III Étude de U = {z C,
  43. AAA Part IB of the Mathematical Triposof the University ...

    https://www.dpmms.cam.ac.uk/study/IB/LinearAlgebra/2012-2013/linear-algebra.pdf
    13 Jan 2013: AAA. Part IB of the Mathematical Triposof the University of Cambridge. Michaelmas 2012. Linear Algebra. Lectured by:Prof. I. Grojnowski. Notes by:Alex Chan. Comments and corrections should be sent to awlc2@cam.ac.uk. This work is licensed under a
  44. MP∗2Lycée Louis le Grand 2016-2017 Mathématiques Classe de…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Mathematiques-Spe.pdf
    31 Aug 2023: MP2Lycée Louis le Grand 2016-2017. Mathématiques. Classe de Mathématiques Spéciales. Cours de Yves Duval. Notes de Alexis Marchand. Table des matières. 1 Suites Réelles et Complexes 1I Bornes supérieures et bornes inférieures. 1II Suites
  45. Topologie et Calcul DifférentielCours de Claude DanthonyNotes de…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/L3-Topologie-Calcul-Differentiel.pdf
    22 Mar 2018: Soit(λα)αA KA une famille presque-nulle. Alors :. αAλαxα. 2. =αA|λα|2. En particulier, (xα)αA est libre.
  46. @let@token Dynamical Black Hole Entropy

    https://www.dpmms.cam.ac.uk/~rbdt2/NAGR/NAGR_07_Wald.pdf
    9 Nov 2023: cross-sections C1 and C2 yieldsκ. 2π[δSC2 δSC1 ] =. ξaδCa =. δTabξ. akbhdV dn2x. where ka is the tangent to the affinely parametrized generatorsof the horizon. ... Since. ka =1. κVξa. this is equivalent to. V2SvNV 2. 2πκ.
  47. 9 Jul 2004: YÂÀOÝ&Fº&»wÀa=kûwÀmÀÌ1Ö=kÃO8Ó FÌË$ÀƺÀ"!Ä7ȵÀ}:Â$7Ü7À»wÀ7À}ÁUÅLÈ}$À}ÄÌ µÏ¢&»»ÎÕÃB#7ÃçËÄ7Ö7ÈÀÄ7ÌAÀ¿%$&'(Â') ÃBµÁ+ EÓ-, ¿ µ}Àµ&a$Ã=µÁÌ7»ÅÕºÀ77kºykÃ͵wÁ77µÁ}7µÎ¿bÀ»Ã:
  48. 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: R Hložek, EEO Ishida, J Guillochon, SW Jha, DO Jones, KS Mandel, D Muthukrishna, A O’grady, CM Peters, JR Pierel, KA Ponder, A Prša, S Rodney, VA Villar. –
  49. � ������� �� � ����� � ����� � ��������� ...

    https://www.dpmms.cam.ac.uk/study/IB/GroupsRings%2BModules/2007-2008/grm_ex3_latex.pdf
    6 Mar 2008: N QoKA][a@sGYbªicmFWGIyXjGIG» iyGIX2NpVWiTHjVsa>H2A{H2dYiyvH¢a>AvW]UHjVWGsGYbN?à ÌyCpá VWiTHjVsa>HuâRãä)å A]KWA{kA]jAgWbGhgzæT2VWGIvWGIcGYXFæ.A] x XjAtwGacvW.ç@è%é¡èæpFêÛmJëA]asGYbicmod¢VsacXjacdIHjGYXZA]ZHjAdKæ¡?BH_V4A]KtuG)a
  50. The fundamental theorem of arithmetic

    https://www.dpmms.cam.ac.uk/~wtg10/FTA.html
    15 Jun 2000: How to discover a proof of the fundamental theorem of arithmetic. The usual proof. Here is a brief sketch of the proof of the fundamental theorem of arithmetic that is most commonly presented in textbooks. 1. First one introduces Euclid's algorithm,
  51. Algèbre 2Cours de Greg McShaneNotes de Alexis Marchand ENS ...

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/L3-Algebre-2.pdf
    1 May 2018: Alors il existe un corps KA, appelé corps des fractionsde A, t.q. ... phisme de corps ψ : KA F t.q. ϕ = ψ j (i.e.

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