We develop a model of the fluctuation dynamo in which the magnetic field is confined to thin flux ropes advected by a multiscale model of turbulence. Magnetic dissipation occurs only via reconnection of the flux ropes. This model can be viewed as an implementation of the asymptotic limit R_{m}-->infinity for a continuous magnetic field, where magnetic dissipation is strongly localized to small ...

We study the limit shape of successive coronas of a tiling, which models the growth of crystals. We define basic terminologies and discuss the existence and uniqueness of corona limits, and then prove that corona limits are completely characterized by directional speeds. As a result, we show that the corona limit of a periodic tiling is a convex polyhedron which is symmetric with respect to the...

Spatial and temporal aberration detection methods for disease outbreaks in syndromic surveillance systems Dongmei Chen a , John Cunningham b , Kieran Moore c & Jie Tian d a Department of Geography, Queen's University, Kingston, ON, Canada b Leeds, Grenville & Lanark District Health Unit, ON, Canada c Department of Family Medicine, Queen's University, Kingston, Canada d Department of Geology & G...

Corona discharges exist in a variety of forms (streamer and diffuse, steady and pulsed) and have multi-scale nature (in both space and time). High spatial resolution is required to analyze ionization fronts, streamers and Trichel pulses observed in corona discharges. We present multi-dimensional simulations of corona and glow discharges with adaptive Cartesian mesh using fluid models. Effects o...

Abstract. A new approach of the Polarity Effect in connection to the Corona Current and the Ground Effect in small rod-plate and rod-rod air gaps is presented. The influence of the polarity of the applied voltage to the corona onset voltage or the breakdown voltage of small rod-plate and rod-rod air gaps is investigated. The influence of the grounding of one of the electrodes, to the field dist...

The hard X-ray emission of active galactic nuclei (AGN) is believed to originate from the hot coronae above the cold accretion discs. The hard X-ray spectral index is found to be correlated with the Eddington ratio Lbol/LEdd, and the hard X-ray bolometric correction factor Lbol/LX,2−10keV increases with the Eddington ratio. The Compton reflection is also found to be correlated with the hard X-r...

For p ∈ (0, 1), let Q p be the subspace consisting of Möbius bounded functions in the Dirichlet-type space. Based on the study of the multipliers in Q p , we establish the corona theorem for Q p .

We are presenting in this volume selected, peer-reviewed, short papers that were presented at the 3rd International Conference on Variable Neighborhood Search (VNS’14) which took place in Djerba, Tunisia, during October 8-11, 2014.