Mathematics
Recent Submissions
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A proof of Hadjicostas's conjecture
(arXiv, 2004-06-15)We prove a recent conjecture of Hadjicostas concerning a double integral formula involving the zeta and the gamma functions. -
Recursions associated to trapezoid, symmetric and rotation symmetric functions over Galois fields
(Elsevier, 2018-04-14)Rotation symmetric Boolean functions are invariant under circular translation of indices. These functions have very rich cryptographic properties and have been used in different cryptosystems. Recently, Thomas Cusick proved ... -
On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture
(Springer Verlag, 2018)We show that for an odd prime p, the p-primary parts of refinements of the (imprimitive) non-abelian Brumer and Brumer-Stark conjectures are implied by the equivariant Iwasawa main conjecture (EIMC) for totally real fields. ... -
Data-Driven Evolutionary Optimization: An Overview and Case Studies
(Institute of Electrical and Electronics Engineers (IEEE), 2018-09-06)Most evolutionary optimization algorithms assume that the evaluation of the objective and constraint functions is straightforward. In solving many real-world optimization problems, however, such objective functions may not ... -
Structure of a shear-line polar low
(Wiley / Royal Meteorological Society, 2017-01-01)During March 2013 a series of polar lows originated in a high-vorticity (>10−3s−1) shear zone that was associated with a prolonged marine cold-air outbreak over the Norwegian Sea. A detailed analysis of one shear-line polar ... -
Convergence of equation-free methods in the case of finite time scale separation with application to deterministic and stochastic systems
(Society for Industrial and Applied Mathematics, 2018)A common approach to studying high-dimensional systems with emergent low-dimensional behavior is based on lift-evolve-restrict maps (called equation-free methods): first, a user-defined lifting operator maps a set of ... -
The Mid-Pleistocene Transition induced by delayed feedback and bistability
(Oxford University Press (OUP), 2018)The Mid-Pleistocene Transition, the shift from 41 kyr to 100 kyr glacial-interglacial cycles that occurred roughly 1 Myr ago, is often considered as a change in internal climate dynamics. Here we revisit the model of ... -
DDE-BIFTOOL Manual - Bifurcation analysis of delay differential equations
(-, 2016-09-07)DDEBIFTOOL is a collection of Matlab routines for numerical bifurcation analysis of systems of delay differential equations with discrete constant and state-dependent delays. The package supports continuation and stability ... -
Atmospheric Response to SST anomalies. Part 2: Background-state dependence, teleconnections and local effects in summer
(American Meteorological Society, 2018)In this paper and its companion, Part I, we explore the response of the atmosphere to sea-surface temperature anomalies in different geographical locations and seasons. In Part 1we focussed on northern-hemisphere winter ... -
Multiscale Immune Selection and the Transmission-Diversity Feedback in Antigenically Diverse Pathogen Systems
(University of Chicago Press, 2018-09-05)Antigenic diversity is commonly used by pathogens to enhance their transmission success. Within-host clonal antigenic variation helps to maintain long infectious periods, whereas high levels of allelic diversity at the ... -
Magnetic Helicity as a Predictor of the Solar Cycle
(Springer Verlag, 2018-07)It is well known that the polar magnetic field is at its maximum during solar minima, and that the behaviour during this time acts as a strong predictor of the strength of the following solar cycle. This relationship relies ... -
Quantitative host resistance drives the evolution of increased virulence in an emerging pathogen
(Wiley for European Society for Evolutionary Biology (ESEB), 2018-08-14)Emergent infectious diseases can have a devastating impact on host populations. The high selective pressures on both the hosts and the pathogens frequently lead to rapid adaptations not only in pathogen virulence but also ... -
Exposure to an anti-androgenic herbicide negatively impacts reproductive physiology and fertility in Xenopus tropicalis
(Springer Nature, 2018-06-14)Amphibians are threatened on a global scale and pollutants may be contributing to population declines, but how chemicals impact on their reproduction is poorly understood. We conducted a life cycle analysis to investigate ... -
Correcting Under-Reporting in Historical Volcano Data
(Statistical Modelling Society, 2018-07)Historical volcano data can suffer from under-recording of eruption occurrence, which can vary with time and magnitude. A Bayesian hierarchica] framework is employed, to model simultaneously the true eruption rate and the ... -
Observations of the Kelvin-Helmholtz instability driven by dynamic motions in a solar prominence
(American Astronomical Society / IOP Publishing, 2018-08-29)Prominences are incredibly dynamic across the whole range of their observable spatial scales, with observations revealing gravity-driven fluid instabilities, waves, and turbulence. With all these complex motions, it would ... -
On the spatial and temporal variability of atmospheric heat transport in a hierarchy of models
(American Meteorological Society, 2017-06-21)The present study analyzes the spatial and temporal variability of zonally integrated meridional atmospheric heat transport due to transient eddies in a hierarchy of datasets. These include a highly idealized two-layer ... -
Model under-representation of decadal Pacific trade wind trends and its link to tropical Atlantic bias
(Springer Verlag, 2017-06-02)The strengthening of the Pacific trade winds in recent decades has been unmatched in the observational record stretching back to the early twentieth century. This wind strengthening has been connected with numerous ... -
On the choice of ensemble mean for estimating the forced signal in the presence of internal variability
(American Meteorological Society, 2018-06-22)In this paper we examine various options for the calculation of the forced signal in climate model simulations, and the impact these choices have on the estimates of internal variability. We find that an ensemble mean of ... -
The effects of increasing humidity on heat transport by extratropical waves
(American Geophysical Union (AGU) / Wiley, 2016-08-01)This study emphasizes the separate contributions of the warm and cold sectors of extratropical cyclones to poleward heat transport. Aquaplanet simulations are performed with an intermediate complexity climate model in which ... -
Tropical climate variability: interactions across the Pacific, Indian, and Atlantic Oceans
(Springer Verlag, 2016-06-02)Complex interactions manifest between modes of tropical climate variability across the Pacific, Indian, and Atlantic Oceans. For example, the El Niño–Southern Oscillation (ENSO) extends its influence on modes of variability ...