Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Title
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Deformations and gluing of asymptotically cylindrical manifolds with exceptional holonomy
(University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 20081014)In Berger's classification of Riemannian holonomy groups there are several infinite families and two exceptional cases: the groups Spin(7) and G_2. This thesis is mainly concerned with 7dimensional manifolds with ...

Deformations of Cayley submanifolds
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsTrinity College, 20160301)Cayley submanifolds of R^8 were introduced by Harvey and Lawson as an instance of calibrated submanifolds, extending the volumeminimising properties of complex submanifolds in Kähler manifolds. More generally, Cayley ...

Derivative of the standard $p$adic $L$function associated with a Siegel form
In this paper we construct a two variables padic Lfunction for the standard representation associated with a Hida family of parallel weight genus g Siegel forms, using a method previously developed by B\"ochererSchmidt ...

Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics
(Taylor & FrancisJournal of the American Statistical Association, 20160322)Motivated by the problem of inferring the molecular dynamics of DNA in solution, and linking them with its basepair composition, we consider the problem of comparing the dynamics of functional time series (FTS), and of ...

Discussion of "The ASA’s pvalue statement, one year on" by Robert Matthews
(WileyBlackwellSignificance, 20170503)

Discussion of ‘An adaptive resampling test for detecting the presence of significant predictors’ by I. W. McKeague and M. Qian
(Taylor & FrancisJournal of the American Statistical Association, 20160115)We are grateful for the opportunity to discuss this new test, based on marginal screening, of a global null hypothesis in linear models. Marginal screening has become a very popular tool for reducing dimensionality in ...

Distinguishing geometries using finite quotients
(Mathematical Sciences PublishersGeometry and Topology, 20170210)We prove that the profinite completion of the fundamental group of a compact 3manifold M satisfies a Tits alternative: if a closed subgroup H does not contain a free prop subgroup for any p, then H is virtually soluble, ...

Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs
(SpringerPublications mathématiques de l'IHÉS, 20160118)For every smooth complex projective variety W of dimension d and nonnegative Kodaira dimension, we show the existence of a universal constant m depending only on d and two natural invariants of the very general fibres of ...

Efficient advert assignment
(InformsOperations Research, 20160701)We develop a framework for the analysis of largescale ad auctions where adverts are assigned over a continuum of search types. For this payperclick market, we provide an efficient mechanism that maximizes social welfare. ...

Efficient nonparametric inference for discretely observed compound Poisson processes
A compound Poisson process whose parameters are all unknown is observed at finitely many equispaced times. Nonparametric estimators of the jump and Lévy distributions are proposed and functional central limit theorems using ...

Elliptic curves over Q$_{∞}$ are modular
We show that if $\textit{p}$ is a prime, then all elliptic curves de ned over the cyclotomic $\mathbb{Z}$$_{p}$extension of Q are modular.

Entropy production inequalities for the Kac Walk
Mark Kac introduced what is now called 'the Kac Walk' with the aim of investigating the spatially homogeneous Boltzmann equation by probabilistic means. Much recent work, discussed below, on Kac's program has run in the ...

Envelopes of positive metrics with prescribed singularities
(Université Paul Sabatier, ToulouseAnnales de la Faculté des Sciences de Toulouse, 2016)We investigate envelopes of positive metrics with a prescribed singularity type. First we generalise work of Berman to this setting, proving C$^{1,1}$ regularity of such envelopes, showing their MongeAmpère measure is ...

Equidistribution of Frobenius eigenvalues
(Oxford JournalsInternational Mathematics Research Notices, 20150209)We study the problem of variation of Frobenius eigenvalues on the cohomology of families of local systems of algebraic curves over finite fields.

Estimate nothing
(Taylor & FrancisQuantitative Finance, 2014)In the econometrics of financial time series, it is customary to take some parametric model for the data, and then estimate the parameters from historical data. This approach suffers from several problems. Firstly, how is ...

Evolution of initially contracting Bianchi Class A models in the presence of an ultrastiff anisotropic pressure fluid
(Institute of PhysicsClassical and Quantum Gravity, 20160512)We study the behaviour of Bianchi class A universes containing an ultrastiff isotropic ghost field and a fluid with anisotropic pressures which is also ultrastiff on the average. This allows us to investigate whether ...

Exact Lagrangian immersions with a single double point
(American Mathematical Society, 20150109)We show that if a closed orientable 2kmanifold K, k > 2, with Euler characteristic χ(K) ≠ 2 admits an exact Lagrangian immersion into C2k with one transverse double point and no other self intersections, then K is ...

Exceptional collections, and the Néron–Severi lattice for surfaces
(ElsevierAdvances in Mathematics, 20170110)We work out properties of smooth projective varieties X over a (not necessarily algebraically closed) field $\textit{k}$ that admit collections of objects in the bounded derived category of coherent sheaves D$^{b}$(X) that ...

Excitations in superfluids of atoms and polaritons
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsSt. Edmund's College, 20141111)This thesis is devoted to the study of excitations in atomic and polariton BoseEinstein condensates (BEC). These two specimens are prime examples for equilibrium and non equilibrium BEC. The corresponding condensate wave ...

Existence of Mori fibre spaces for 3folds in char p
(ElsevierAdvances in Mathematics, 20170620)We prove the following results for projective klt pairs of dimension 3 over an algebraically closed field of characteristic $p$>5: the cone theorem, the base point free theorem, the contraction theorem, finiteness of minimal ...