Browsing Mathematics by Title
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An objective tropical Atlantic sea surface temperature gradient index for studies of south Amazon dryseason climate variability and change.
(The Royal Society, 20080527)Future changes in meridional sea surface temperature (SST) gradients in the tropical Atlantic could influence Amazon dryseason precipitation by shifting the patterns of moisture convergence and vertical motion. Unlike for ... 
Observations of the eruption of the Sarychev volcano and simulations using the HadGEM2 climate model
(American Geophysical Union (AGU), 2010)[1] In June 2009 the Sarychev volcano located in the Kuril Islands to the northeast of Japan erupted explosively, injecting ash and an estimated 1.2 ± 0.2 Tg of sulfur dioxide into the upper troposphere and lower stratosphere, ... 
Observations of the KelvinHelmholtz instability driven by dynamic motions in a solar prominence
(American Astronomical Society / IOP Publishing, 20180829)Prominences are incredibly dynamic across the whole range of their observable spatial scales, with observations revealing gravitydriven fluid instabilities, waves, and turbulence. With all these complex motions, it would ... 
Ocean heat uptake in eddying and noneddying ocean circulation models in a warming climate
(American Meteorological Society, 20131011)Ocean heat uptake is explored with noneddying (28), eddypermitting (0.258), and eddyresolving (0.1258) ocean circulation models in a domain representing the Atlantic basin connected to a southern circumpolar channel ... 
Oceanatmospheric state dependence of the atmospheric response to Arctic sea ice loss
(American Meteorological Society, 20170209)The Arctic is warming faster than the global average. This disproportionate warming – known as Arctic amplification – has caused significant local changes to the Arctic system and more uncertain remote changes across ... 
Odd gravitational harmonics of Jupiter: Effects of spherical versus nonspherical geometry and mathematical smoothing of the equatorially antisymmetric zonal winds across the equatorial plane
(Elsevier, 20160602)Unlike the even gravitational coefficients of Jupiter that are caused by both the rotational distortion and the equatorially symmetric zonal winds, the odd jovian gravitational coefficients are directly linked to the depth ... 
On a septuple product identity
(Séminaire Lotharingien de Combinatoire, 1999)We provide a short and elementary proof of the FarkasKra septuple product identity. 
On boole's formula for factorials
(Centre for Combinatorics, 20140101)We present a simple new proof and a new generalization of Boole's formula n! ∑nσj=1 (1)nj (n j)jn (n ∈ N). 
On Connections between the Cauchy Index, the Sylvester Matrix, Continued Fraction Expansions, and Circuit Synthesis
(International Symposium on Mathematical Theory of Networks and Systems, 201407)A fundamental result in circuit synthesis states that the McMillan degree of a passive circuit’s impedance is less than or equal to the number of reactive elements in the circuit. More recently, Hughes and Smith connected ... 
On designing heteroclinic networks from graphs
(Elsevier, 2013)Robust heteroclinic networks are invariant sets that can appear as attractors in symmetrically coupled or otherwise constrained dynamical systems. These networks may have a very complicated structure that is poorly understood ... 
On etale fundamental groups of formal fibres of padic curves
(Department of Mathematics, Hokkaido University, 2018)We investigate a certain class of (geometric) finite (Galois) coverings of formal fibres of padic curves and the corresponding quotient of the (geometric) ´etale fundamental group. A key result in our investigation is ... 
On Evidence Weighted Mixture Classification
(2005)Calculation of the marginal likelihood or evidence is a problem central to model selection and model averaging in a Bayesian framework. Many sampling methods, especially (Reversible Jump) Markov chain Monte Carlo techniques, ... 
On fluid flows in precessing narrow annular channels: asymptotic analysis and numerical simulation
(Cambridge University Press, 2010)We consider a viscous, incompressible fluid confined in a narrow annular channel rotating rapidly about its axis of symmetry with angular velocity Ω that itself precesses slowly about an axis fixed in an inertial frame. ... 
On fluid flows in precessing spheres in the mantle frame of reference
(American Institute of Physics, 2010)We investigate, through both asymptotic and numerical analysis, precessionally driven flows of a homogeneous fluid confined in a spherical container that rotates rapidly with angular velocity Ω and precesses slowly with ... 
On fluid motion in librating ellipsoids with moderate equatorial eccentricity
(Cambridge University Press, 2011) 
On Identifying the role of Sun and the El Nino Southern Oscillation on Indian Summer Monsoon Rainfall
(Wliey / Royal Meteorological Society, 20141213)A solar influence on Indian Summer Monsoon (ISM) rainfall, identified in previous studies using the method of solar peak year compositing, may not be robust and can be influenced by other factors such as the El Nino Southern ... 
On judging the credibility of climate predictions
(Springer, 201306)Incorporating a prediction into future planning and decision making is advisable only if we have judged the prediction’s credibility. This is notoriously difficult and controversial in the case of predictions of future ... 
On Kelvin–Helmholtz and parametric instabilities driven by coronal waves
(Oxford University Press (OUP) / Royal Astronomical Society, 2018)The Kelvin–Helmholtz instability has been proposed as a mechanism to extract energy from magnetohydrodynamic (MHD) kink waves in flux tubes, and to drive dissipation of this wave energy through turbulence. It is therefore ... 
On local attraction properties and a stability index for heteroclinic connections
(Institute of Physics, 2011) 
On padic differential equations on semistable varieties
(Springer Verlag, 20121222)In this paper we prove a comparison theorem between the category of certain modules with integrable connection on the complement of a normal crossing divisor of the generic fiber of a proper semistable variety over a DVR ...