416 citations
- University of LiverpoolGB10 papers
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15 papers · 1 filter
Sparse motion segmentation using multiple six-point consistencies
Vasileios Zografos, Klas Nordberg, Liam Ellis
We present a method for segmenting an arbitrary number of moving objects in image sequences using the geometry of 6 points in 2D to infer motion consistency. The method has been ev…
Multidimensional simulations of magnetic field amplification and electron acceleration to near-energy equipartition with ions by a mildly relativistic quasi-parallel plasma collision
Gareth C. Murphy, Mark E. Dieckmann, Luke O'C Drury
The energetic electromagnetic eruptions observed during the prompt phase of gamma-ray bursts are attributed to synchrotron emissions. The internal shocks moving through the ultrare…
Magnetic field amplification and electron acceleration to near-energy equipartition with ions by a mildly relativistic quasi-parallel plasma protoshock
Gareth C. Murphy, Mark E. Dieckmann, Antoine Bret +1
The prompt emissions of gamma-ray bursts are seeded by radiating ultrarelativistic electrons. Internal shocks propagating through a jet launched by a stellar implosion, are expecte…
Inversion arrangements and Bruhat intervals
Axel Hultman
Let be a finite reflection group. For a given , the following assertion may or may not be satisfied: (*) The principal Bruhat order ideal of contains as many eleme…
Recent progress in elliptic equations and systems of arbitrary order with rough coefficients in Lipschitz domains
Vladimir Maz'ya, Tatyana Shaposhnikova
This is a survey of results mostly relating elliptic equations and systems of arbitrary even order with rough coefficients in Lipschitz graph domains. Asymptotic properties of solu…
Construction of coupled Harry Dym hierarchy and its solutions from Stäckel systems
Krzysztof Marciniak, Maciej Blaszak
In this paper we show how to construct the coupled (multicomponent) Harry Dym (cHD) hierarchy from classical Stäckel separable systems. Both nonlocal and purely differential parts…