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  2. 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
  3. 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.
  4. 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.
  5. 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. –
  6. 23 May 2024: 1. 5.1 Averaging and reductions. 21. 5.2 Slicing. 24. 5.3 Congruence conditions.
  7. 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.
  8. 16 Jan 2024: Kähler Manifolds and the Calabi Conjecture. Grigalius Taujanskas. Mathematical InstituteOxford University. Radcliffe Observatory QuarterOxford OX2 6GG, UK. Grigalius Taujanskas CONTENTS. Contents. 1 Introduction 2. 2 Preliminaries 22.1 Vector
  9. NUMBER FIELDS, LENT 2024 PÉTER P. VARJÚ Disclaimer,…

    https://www.dpmms.cam.ac.uk/~pv270/NumberFields.pdf
    8 Mar 2024: vd). Lemma 24. All fundamental domains of a lattice have the same vol-ume. ... We first prove half of the lastclaim. 24 PÉTER P. VARJÚ.
  10. CONGRUENCES BETWEEN MODULAR FORMS JACK A. THORNE Abstract. We ...

    https://www.dpmms.cam.ac.uk/~jat58/congruences.pdf
    11 Jan 2024: τ) = q. n=1. (1 qn)24. (also a modular form of weight 12 – in fact, E12, form a basis for the C-vectorspace M12(SL2(Z)) of modular forms of
  11. Algebraic TopologyOscar Randal-Williams…

    https://www.dpmms.cam.ac.uk/~or257/teaching/notes/at.pdf
    31 Jan 2024: 24 Chapter 3 Covering spaces. (iv) Let y U be another point, and u : I U a path from x to y.

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