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Now showing items 11-20 of 45
$\textit{K}$-Theory of Fermat Curves
(Department of Pure Mathematics and Mathematical Statistics, University of CambridgeUniversity of CambridgeChurchill College, 2017-01-10)
I investigate the $K_2$ groups of the quotients of Fermat curves given in projective coordinates by the equation $F_n:X^n+Y^n=Z^n$. On any quotient where the number of known elements is equal to the rank predicted by ...
L-space intervals for graph manifolds and cables
(Cambridge University PressCompositio Mathematica, 2017-05)
We present a graph manifold analog of the Jankins–Neumann classification of Seifert fibered spaces over $S^2$ admitting taut foliations, providing a finite recursive formula to compute the L-space Dehn-filling interval for ...
Freiman homomorphisms on sparse random sets
(Oxford University PressQuarterly Journal of Mathematics, 2017-02-03)
A result of Fiz Pontiveros shows that if $A$ is a random subset of $\mathbb{Z}_N$ where each element is chosen independently with probability $N^{-1/2+o(1)}$, then with high probability every Freiman homomorphism defined ...
Tubular free by cyclic groups act freely on CAT(0) cube complexes
(Canadian Mathematical SocietyCanadian Mathematical Bulletin, 2017-03-01)
We identify when a tubular group (the fundamental group of a finite graph of groups with $\mathbb{Z}$$^{2}$ vertex and $\mathbb{Z}$ edge groups) is free by cyclic and show, using Wise's equitable sets criterion, that every ...
Total Positivity in Markov Structures
(Institute of Mathematical StatisticsAnnals of Statistics, 2017-06)
We discuss properties of distributions that are multivariate totally positive of order two (MTP$_{2}$) related to conditional independence. In particular, we show that any independence model generated by an MTP$_{2}$ ...
Bayesian Nonparametric Ordination for the Analysis of Microbial Communities
(Taylor & FrancisJournal of the American Statistical Association, 2017-07-10)
Human microbiome studies use sequencing technologies to measure the abundance of bacterial species or Operational Taxonomic Units (OTUs) in samples of biological material. Typically the data are organized in contingency ...
Trend to equilibrium for the Becker–Döring equations: an analogue of Cercignani's conjecture
(Mathematical Sciences PublishersAnalysis and PDE, 2017-08-01)
We investigate the rate of convergence to equilibrium for subcritical solutions to the Becker–Döring equations with physically relevant coagulation and fragmentation coefficients and mild assumptions on the given initial ...
Homological mirror symmetry for hypersurface cusp singularities
(SpringerSelecta Mathematica, 2017-06-03)
We study versions of homological mirror symmetry for hypersurface cusp singularities and the three hypersurface simple elliptic singularities. We show that the Milnor fibres of each of these carries a distinguished Lefschetz ...
Trust in numbers
(WileyJournal of the Royal Statistical Society. Series A: Statistics in Society, 2017-10-01)
Those who value quantitative and scientific evidence are faced with claims both of a reproducibility crisis in scientific publication, and of a post-truth society abounding in fake news and alternative facts. Both issues ...
Discussion of "The ASA’s p-value statement, one year on" by Robert Matthews
(Wiley-BlackwellSignificance, 2017-05-03)