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9 papers · 1 filter
An accelerated splitting-up method for parabolic equations
István Gyöngy, Nicolai Krylov
We approximate the solution of the Cauchy problem $$ \frac{\partial}{\partial t} u(t,x)=Lu(t,x)+f(t,x), \quad (t,x)\in(0,T]\times\bR^d, $$ $$ u(0,x)=u_0(x),\quad x\in\bR^d $$ b…
Strong lensing constraints on the properties of cluster galaxies
Liliya L. R. Williams, Prasenjit Saha
A recently discovered quadruply-imaged QSO, SDSS J1004+4112 (Inada et al. 2003; Oguri et al. 2004) in the core of a galaxy cluster has an unprecedented image separation of…
Dark Matter Candidates in Supersymmetric Models
Keith A. Olive
The status of the constrained minimal supersymmetric standard model (CMSSM) will be discussed in light of our current understanding of the relic density after WMAP. A global likeli…
A CLT for a band matrix model
Greg Anderson, Ofer Zeitouni
A law of large numbers and a central limit theorem are derived for linear statistics of random symmetric matrices whose on-or-above diagonal entries are independent, but neither ne…
The phase-space density distribution of dark matter halos
Liliya L. R. Williams, Crystal Austin, Eric Barnes +2
High resolution N-body simulations have all but converged on a common empirical form for the shape of the density profiles of halos, but the full understanding of the underlying ph…
Area density and regularity for soap film-like surfaces spanning graphs
Robert Gulliver, Sumio Yamada
For a given boundary set consisting of arcs and vertices, with two or more arcs meeting at each vertex, we treat the problem of estimating the area density of a soap film-like surf…