18 citations
5 papers
Orthocentric simplices and their centers
Allan L. Edmonds, Mowaffaq Hajja, Horst Martini
A simplex is said to be orthocentric if its altitudes intersect in a common point, called its orthocenter. In this paper it is proved that if any two of the traditional centers of…
Harmonicity of Gibbs measures
Chris Connell, Roman Muchnik
In this paper we extend the construction of random walks with a prescribed Poisson boundary to the case of measures in the class of a generalized Gibbs state. The price for droppin…
Pointwise Asymptotic Behavior of Perturbed Viscous Shock Profiles
Peter Howard, Mohammadreza Raoofi
We consider the asymptotic behavior of perturbations of Lax and overcompressive type viscous shock profiles arising in systems of regularized conservation laws with strictly parabo…
No skew branes on non-degenerate hyperquadrics
Ji-Ping Sha, Bruce Solomon
We show that non-degenerate hyperquadrics in R^{n+2} admit no skew branes. Stated more traditionally, a compact codimension-one immersed submanifold of a non-degenerate hyperquadri…
Time Domain Explorations With Digital Sky Surveys
A. A. Mahabal, S. G. Djorgovski, M. J. Graham +17
One of the new frontiers of astronomical research is the exploration of time variability on the sky at different wavelengths and flux levels. We have carried out a pilot project us…