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Now showing items 1221-1230 of 1850
Nonhyperbolic free-by-cyclic and one-relator groups
(New York Journal of MathematicsNew York Journal of Mathematicshttp://nyjm.albany.edu/j/2016/22-35.html, 2016-08-01)
We show that the free-by-cyclic groups of the form $F_2$ $\rtimes$ $\Bbb Z$ act properly cocompactly on CAT(0) square complexes. We also show using generalized Baumslag–Solitar groups that all known groups defined by a ...
Gromov-Hausdorff Collapsing of Calabi-Yau manifolds
(International PressCommunications in Analysis and Geometry, 2016-06-08)
This paper is a sequel to Collapsing of Abelian Fibered Calabi-Yau Manifolds [12]. We further study Gromov–Hausdorff collapsing limits of Ricci-flat Kähler metrics on abelian fibered Calabi–Yau manifolds. Firstly, we show ...
Risk and Uncertainty Communication
(Annual ReviewsAnnual Review of Statistics and its Application, 2017-03-07)
This review briefly examines the vast range of techniques used to communicate risk assessments arising from statistical analysis. After discussing essential psychological and sociological issues, I focus on individual ...
Arithmetic invariant theory and 2-descent for plane quartic curves
(Mathematical Sciences PublishersAlgebra & Number Theory, 2016-09-27)
Given a smooth plane quartic curve C over a field $\textit{k}$ of characteristic 0, with Jacobian variety $\textit{J}$, and a marked rational point P $\in$ C($\textit{k}$), we construct a reductive group $\textit{G}$ and ...
Isometric disks are holomorphic
(SpringerInventiones mathematicae, 2016-10-05)
This paper shows that every totally-geodesic isometry from the unit disk to a finite-dimensional Teichmüller space for the intrinsic Kobayashi metric is either holomorphic or anti-holomorphic; in particular, it is a ...
Handbook of Big Data [Book review]
(WileyStatistics in Medicine, 2016-12-01)
Connective constants and height functions for Cayley graphs
(American Mathematical SocietyTransactions of the American Mathematical Society, 2017-03-31)
The connective constant $μ$($G$) of an infinite transitive graph $G$ is the exponential growth rate of the number of self-avoiding walks from a given origin. In earlier work of Grimmett and Li, a locality theorem was proved ...
Infinite loop spaces and positive scalar curvature
(SpringerInventiones Mathematicae, 2017-09-01)
We study the homotopy type of the space of metrics of positive scalar curvature on high-dimensional compact spin manifolds. Hitchin used the fact that there are no harmonic spinors on a manifold with positive scalar curvature ...
Four-Dimensional Weakly Self-avoiding Walk with Contact Self-attraction
(SpringerJournal of Statistical Physics, 2017-04-01)
We consider the critical behaviour of the continuous-time weakly self-avoiding walk with contact self-attraction on $\mathbb{Z}$$^{4}$, for sufficiently small attraction. We prove that the susceptibility and correlation ...
Undecidability and the developability of permutoids and rigid pseudogroups
(Cambridge University PressForum of Mathematics, Sigma, 2017-03-20)
A $\textit{permutoid}$ is a set of partial permutations that contains the identity and is such that partial compositions, when defined, have at most one extension in the set. In 2004 Peter Cameron conjectured that there ...