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10 papers · 1 filter
The structure of mode-locking regions of piecewise-linear continuous maps: II. Skew sawtooth maps
David J. W. Simpson
In two-parameter bifurcation diagrams of piecewise-linear continuous maps on , mode-locking regions typically have points of zero width known as shrinking points. Nea…
The Exoplanet Mass-Ratio Function from the MOA-II Survey: Discovery of a Break and Likely Peak at a Neptune Mass
D. Suzuki, D. P. Bennett, T. Sumi +26
We report the results of the statistical analysis of planetary signals discovered in MOA-II microlensing survey alert system events from 2007 to 2012. We determine the survey sensi…
Faint source star planetary microlensing: the discovery of the cold gas giant planet OGLE-2014-BLG-0676Lb
N. J. Rattenbury, D. P. Bennett, T. Sumi +85
We report the discovery of a planet --- OGLE-2014-BLG-0676Lb --- via gravitational microlensing. Observations for the lensing event were made by the MOA, OGLE, Wise, RoboNET/LCOGT,…
The stability of fixed points on switching manifolds of piecewise-smooth continuous maps
David J. W. Simpson
This paper concerns piecewise-smooth maps on that are continuous but not differentiable on switching manifolds (where the functional form of the map changes). The st…
The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary
James Benn, Gerard Misiolek, Stephen C. Preston
We prove that the Riemannian exponential map of the right-invariant metric on the group of volume-preserving diffeomorphisms of a two-dimensional manifold with a nonempty bou…
Binary Source Microlensing Event OGLE-2016-BLG-0733: Interpretation of A Long-term Asymmetric Perturbation
Y. K. Jung, A. Udalski, J. C. Yee +50
In the process of analyzing an observed light curve, one often confronts various scenarios that can mimic the planetary signals causing difficulties in the accurate interpretation…