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Critical Surface of the Hexagonal Polygon Model
(SpringerJournal of Statistical Physics, 2016-05-01)
The hexagonal polygon model arises in a natural way via a transformation of the 1-2 model on the hexagonal lattice, and it is related to the high temperature expansion of the Ising model. There are three types of edge, and ...
Quantifying separability in virtually special groups
(Mathematical Society PublishingPacific Journal of Mathematics, 2016)
We give a new, effective proof of the separability of cubically convex-cocompact subgroups of special groups. As a consequence, we show that if G is a virtually compact special hyperbolic group, and Q ≤ G is a K-quasiconvex ...
Cubulating hyperbolic free-by-cyclic groups: the irreducible case
(Duke University PressDuke Mathematical Journal, 2016)
Let V be a fi nite graph and let ∅ : V → V be an irreducible train track map whose mapping torus has word-hyperbolic fundamental group G. Then G acts freely and cocompactly on a CAT(0) cube complex. Hence, if F is a ...
D-modules on rigid analytic spaces I
(De GruyterJournal für die reine und angewandte Mathematik, 2016)
We introduce a sheaf of infinite order differential operators D on smooth rigid analytic spaces that is a rigid analytic quantisation of the cotangent bundle. We show that the sections of this sheaf over sufficiently small ...
Global Rates of Convergence in Log-Concave Density Estimation
(Institute of Mathematical StatisticsAnnals of Statistics, 2016)
The estimation of a log-concave density on $\Bbb R$$^d$ represents a central problem in the area of nonparametric inference under shape constraints. In this paper, we study the performance of log-concave density estimators ...
Injectivity and Stability for a Generic Class of Generalized Radon Transforms
(SpringerJournal of Geometric Analysis, 2016-06-30)
Let (M, g) be an analytic, compact, Riemannian manifold with boundary, of dimension n≥2. We study a class of generalized Radon transforms, integrating over a family of hypersurfaces embedded in M, satisfying the Bolker ...
Tests for separability in nonparametric covariance operators of random surfaces
(Institute of Mathematical StatisticsAnnals of Statistics, 2016)
The assumption of separability of the covariance operator
for a random image or hypersurface can be of substantial use in
applications, especially in situations where the accurate estimation
of the full covariance structure ...
A Fully Automatic Theorem Prover with Human-Style Output
(SpringerJournal of Automated Reasoning, 2016-06-11)
This paper describes a program that solves elementary mathematical problems, mostly in metric space theory, and presents solutions that are hard to distinguish from solutions that might be written by human mathematicians.
Homological Stability for Spaces of Embedded Surfaces
(Mathematical Sciences PublisherGeometry & Topology, 2016)
We study the space of oriented genus $\textit{g}$ subsurfaces of a fixed manifold $\textit{M}$, and in particular its homological properties. We construct a “scanning map” which compares this space to the space of sections ...
TORSION GALOIS REPRESENTATIONS OVER CM FIELDS AND HECKE ALGEBRAS IN THE DERIVED CATEGORY
(Cambridge University PressForum of Mathematics, Sigma, 2016-07-21)
We construct algebras of endomorphisms in the derived category of the cohomology of arithmetic manifolds, which are generated by Hecke operators. We construct Galois representations with coefficients in these Hecke algebras ...