All Outputs (126)

Cell 2-Representations and Categorification at Prime Roots of Unity (2019)
Journal Article

Motivated by recent advances in the categorification of quantum groups at prime roots of unity, we develop a theory of 2-representations for 2- categories, enriched with a p-differential, which satisfy finiteness conditions analogous to those of fini... Read More about Cell 2-Representations and Categorification at Prime Roots of Unity.

Laurent inversion (2019)
Journal Article

We describe a practical and effective method for reconstructing the deformation class of a Fano manifold X from a Laurent polynomial f that corresponds to X under Mirror Symmetry. We explore connections to nef partitions, the smoothing of singular to... Read More about Laurent inversion.

The dynamics of quasiregular maps of punctured space (2019)
Journal Article

The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been extended to quasiregular maps in more than two real dimensions. Our goal in this paper is similar; we extend the iteration theory of analytic self-maps... Read More about The dynamics of quasiregular maps of punctured space.

Cheeger-Simons differential characters with compact support and Pontryagin duality (2019)
Journal Article

By adapting the Cheeger-Simons approach to differential cohomology, we establish a notion of differential cohomology with compact support. We show that it is functorial with respect to open embeddings and that it fits into a natural diagram of exact... Read More about Cheeger-Simons differential characters with compact support and Pontryagin duality.

Reflection and transmission of high-frequency acoustic, electromagnetic and elastic waves at a distinguished class of irregular, curved boundaries (2019)
Journal Article

Reflection and transmission phenomena associated with high-frequency linear wave incidence on irregular boundaries between adjacent acoustic or electromagnetic media, or upon the irregular free surface of a semi-infinite elastic solid, are studied in... Read More about Reflection and transmission of high-frequency acoustic, electromagnetic and elastic waves at a distinguished class of irregular, curved boundaries.

Additive twists and a conjecture by Mazur, Rubin and Stein (2019)
Journal Article

In this paper, a conjecture of Mazur, Rubin and Stein concerning certain averages of modular symbols is proved. To cover levels that are important for elliptic curves, namely those that are not square-free, we establish results about L-functions with... Read More about Additive twists and a conjecture by Mazur, Rubin and Stein.

Rapid characterisation of hERG channel kinetics II: temperature dependence (2019)
Journal Article

Ion channel behavior can depend strongly on temperature, with faster kinetics at physiological temperatures leading to considerable changes in currents relative to room temperature. These temperature-dependent changes in voltage-dependent ion channel... Read More about Rapid characterisation of hERG channel kinetics II: temperature dependence.

Survival dynamical systems: individual-level survival analysis from population-level epidemic models (2019)
Journal Article

In this paper, we show that solutions to ordinary differential equations describing the large-population limits of Markovian stochastic epidemic models can be interpreted as survival or cumulative hazard functions when analysing data on individuals s... Read More about Survival dynamical systems: individual-level survival analysis from population-level epidemic models.

Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures (2019)
Journal Article

This study investigates the flexural response of a linearly elastic rectangular strip reinforced in a functionally graded manner by a single family of straight fibres resistant in bending. Fibre bending resistance is associated with the thickness of... Read More about Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures.

Pair-based likelihood approximations for stochastic epidemic models (2019)
Journal Article

Fitting stochastic epidemic models to data is a non-standard problem because data on the infection processes defined in such models are rarely observed directly. This in turn means that the likelihood of the observed data is intractable in the sense... Read More about Pair-based likelihood approximations for stochastic epidemic models.

Linear Yang–Mills Theory as a Homotopy AQFT (2019)
Journal Article

It is observed that the shifted Poisson structure (antibracket) on the solution complex of Klein–Gordon and linear Yang–Mills theory on globally hyperbolic Lorentzian manifolds admits retarded/advanced trivializations (analogs of retarded/advanced Gr... Read More about Linear Yang–Mills Theory as a Homotopy AQFT.

Prevalence, risk factors and genotype distribution of Toxoplasma gondii DNA in soil in China (2019)
Journal Article

Copyright © 2019 Elsevier Inc. All rights reserved. In the present study, we performed a cross-sectional survey to determine the occurrence and genotype distribution of T. gondii DNA in soil samples collected from different sources from six geographi... Read More about Prevalence, risk factors and genotype distribution of Toxoplasma gondii DNA in soil in China.

A NURBS-based finite element formulation for incompressible fluid dynamics and fluid-structure interaction with rigid bodies (2019)
Journal Article

A numerical investigation is performed here using a NURBS-based finite element formulation applied to classical Computational Fluid Dynamics (CFD) and Fluid-Structure Interaction (FSI) problems. Model capabilities related to refinement techniques are... Read More about A NURBS-based finite element formulation for incompressible fluid dynamics and fluid-structure interaction with rigid bodies.

A max-cut approximation using a graph based MBO scheme (2019)
Journal Article

© 2019 American Institute of Mathematical Sciences. All rights reserved. The Max-Cut problem is a well known combinatorial optimization problem. In this paper we describe a fast approximation method. Given a graph G, we want to find a cut whose size... Read More about A max-cut approximation using a graph based MBO scheme.

Principal nested shape space analysis of molecular dynamics data (2019)
Journal Article

Molecular dynamics simulations produce huge datasets of temporal sequences of molecules. It is of interest to summarize the shape evolution of the molecules in a succinct, low-dimensional representation. However, Euclidean techniques such as principa... Read More about Principal nested shape space analysis of molecular dynamics data.

Next-generation neural mass and field modeling (2019)
Journal Article

The Wilson-Cowan population model of neural activity has greatly influenced our understanding of the mechanisms for the generation of brain rhythms and the emergence of structured brain activity. As well as the many insights that have been obtained f... Read More about Next-generation neural mass and field modeling.

Tail expectile process and risk assessment (2019)
Journal Article

Expectiles define a least squares analogue of quantiles. They are determined by tail expectations rather than tail probabilities. For this reason and many other theoretical and practical merits, expectiles have recently received a lot of attention, e... Read More about Tail expectile process and risk assessment.

How a nonassociative algebra reflects the properties of a skew polynomial (2019)
Journal Article

Let D be a unital associative division ring and D[t, σ, δ] be a skew polynomial ring, where σ is an endomorphism of D and δ a left σ-derivation. For each f D[t, σ, δ] of degree m > 1 with a unit as leading coefficient, there exists a unital nonassoci... Read More about How a nonassociative algebra reflects the properties of a skew polynomial.

From bore-soliton-splash to a new wave-to-wire wave-energy model (2019)
Journal Article

We explore extreme nonlinear water-wave amplification in a contraction or, analogously, wave amplification in crossing seas. The latter case can lead to extreme or rogue-wave formation at sea. First, amplification of a solitary-water-wave compound ru... Read More about From bore-soliton-splash to a new wave-to-wire wave-energy model.

Nonlinear shear of entangled polymers from nonequilibrium molecular dynamics (2019)
Journal Article

This work aims to improve the use of Molecular Dynamics simulations of Kremer-Grest chains to inform future developments of models of entangled polymer dynamics. We perform non-equilibrium molecular dynamics simulations, under shear flow, for well en... Read More about Nonlinear shear of entangled polymers from nonequilibrium molecular dynamics.