Browsing Mathematics by Title
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An exact solution for arbitrarily rotating gaseous polytropes with index unity
(Oxford University Press for Royal Astronomical Society, 2015)Many gaseous planets and stars are rapidly rotating and can be approximately described by a polytropic equation of state with index unity.We present the first exact analytic solution, under the assumption of the oblate ... 
Excitability in ramped systems: the compostbomb instability
(Royal Society, 2011)The paper studies a novel excitability type where a large excitable response appears when a system’s parameter is varied gradually, or ramped, above some critical rate. This occurs even though there is a (unique) stable ... 
Exospheric models for the Xray emission from single WolfRayet stars
(Oxford University Press / Royal Astronomical Society, 2000)We review existing ROSAT detections of single Galactic WolfRayet (WR) stars and develop wind models to interpret the Xray emission. The ROSAT data, consisting of bandpass detections from the ROSAT AllSky Survey (RASS) ... 
Experimental Comparison of Classification Uncertainty for Randomised and Bayesian Decision Tree Ensembles
(Springer Berlin Heidelberg, 2004)In this paper we experimentally compare the classification uncertainty of the randomised Decision Tree (DT) ensemble technique and the Bayesian DT technique with a restarting strategy on a synthetic dataset as well as on ... 
Explicit integral Galois module structure of weakly ramified extensions of local fields
(American Mathematical Society, 2015)Let L/K be a finite Galois extension of complete local fields with finite residue fields and let G=Gal(L/K). Let G_1 and G_2 be the first and second ramification groups. Thus L/K is tamely ramified when G_1 is trivial and ... 
Explicit representation of subgrid heterogeneity in a GCM land surface scheme
(American Meteorological Society, 2003)A land surface scheme that may be run with or without a tiled representation of subgrid heterogeneity and includes an implicit atmospheric coupling scheme is described. Simulated average surface air temperatures and diurnal ... 
Exploratory ensemble designs for environmental models using kextended Latin Hypercubes
(Wiley, 2015)In this paper we present a novel, flexible, and multipurpose class of designs for initial exploration of the parameter spaces of computer models, such as those used to study many features of the environment. The idea ... 
Exploring links between Arctic amplification and midlatitude weather
(American Geophysical Union, 2013)This study examines observed changes (1979–2011) in atmospheric planetarywave amplitude over northern midlatitudes, which have been proposed as a possible mechanism linking Arctic amplification and midlatitude weather ... 
Exponential integrators for a Markov chain model of the fast sodium channel of cardiomyocytes.
(Institute of Electrical and Electronics Engineers (IEEE), 2015)The modern Markov chain models of ionic channels in excitable membranes are numerically stiff. The popular numerical methods for these models require very small time steps to ensure stability. Our objective is to formulate ... 
Extremal Dependence Indices: improved verification measures for deterministic forecasts of rare binary events
(American Meteorological Society, 2011)Verifying forecasts of rare events is challenging, in part because traditional performance measures degenerate to trivial values as events become rarer. The extreme dependency score was proposed recently as a nondegenerating ... 
Extreme Sensitivity to Detuning for Globally Coupled Phase Oscillators
(American Physical Society, 2006)We discuss the sensitivity of a population of coupled oscillators to differences in their natural frequencies, i.e., to detuning. We argue that for three or more oscillators, one can get great sensitivity even if the ... 
Fast magnetoacoustic waves in curved coronal loops I. Trapped and leaky modes
(EDP Sciences, 2006)A study of vertically polarised fast magnetoacoustic waves in a curved coronal loop is presented. The loop is modeled as a semicircular magnetic slab in the zero plasmaβ limit. The governing equations for linear waves ... 
Fast magnetoacoustic waves in curved coronal loops: II. Tunneling modes
(EDP Sciences, 2006)Aims. Fast magnetoacoustic waves in curved coronal loops are investigated and the role of lateral leakage in wave damping, which includes the mechanism of wave tunneling, is explored. Methods. A coronal loop is modeled ... 
Fast simulation of phasechange processes in chalcogenide alloys using a Gillespietype cellular automata approach
(American Institute of Physics, 2008)A stochastic cellular automata simulator capable of spatiotemporal modeling of the crystallization and amorphization behavior of phasechange materials during the complex annealing cycles used in optical and electrical ... 
Finding periodic orbits in statedependent delay differential equations as roots of algebraic equations
(2012)In this paper we prove that periodic boundaryvalue problems (BVPs) for delay differential equations are locally equivalent to finitedimensional algebraic systems of equations. We rely only on regularity assumptions that ... 
First magnetic seismology of the CME reconnection outflow layer in the low corona with 2.5D MHD simulations of the KelvinHelmholtz instability
(American Geophysical Union (AGU), 2013)For conditions observed in the low corona, we perform 2.5D magnetohydrodynamic (MHD) simulations of the KelvinHelmholtz instability (KHI) at the surface of a coronal mass ejection (CME). We match the observed time ... 
First observation of a transverse vertical oscillation during the formation of a hot postflare loop
(EDP Sciences, 2012)Aims. We report and analyse the first observation of a transverse oscillation in a hot coronal loop with the Atmospheric Imaging Assembly (AIA) on the Solar Dynamics Observatory (SDO), following a linked coronalflare ... 
Fixedpoint free pairs of homomorphisms and nonabelian HopfGalois structure
(University at Albany, 2012)Given finite groups Γ and G of order n, regular embeddings from Γ to the holomorph of G yield HopfGalois structures on a Galois extension LK of fields with Galois group Γ. Here we consider regular embeddings that arise ... 
A framework for mimetic discretization of the rotating shallowwater equations on arbitrary polygonal grids
(Society for Industrial and Applied Mathematics, 2012)Accurate simulation of atmospheric flow in weather and climate prediction models requires the discretization of the governing equations to have a number of desirable properties. Although these properties can be achieved ... 
Franklin's argument proves an identity of Zagier
(Electronic Journal of Combinatorics, 2000)Recently Zagier proved a remarkable qseries identity. We show that this identity can also be proved by modifying Franklin's classical proof of Euler's pentagonal number theorem.