Guaranteed Convergence of a Regularized Kohn-Sham Iteration in Finite Dimensions

The exact Kohn-Sham iteration of generalized density-functional theory in finite dimensions witha Moreau-Yosida regularized universal Lieb functional and an adaptive damping step is shown toconverge to the correct ground-state density.Comment: 3 figures, contains erratum with additional author Paul E. Lammer

Turbulent mixing

The ability of turbulent flows to effectively mix entrained fluids to a molecular scale is a vital part of the dynamics of such flows, with wide-ranging consequences in nature and engineering. It is a considerable experimental, theoretical, modeling, and computational challenge to capture and represent turbulent mixing which, for high Reynolds number (Re) flows, occurs across a spectrum of scales of considerable span. This consideration alone places high-Re mixing phenomena beyond the reach of direct simulation, especially in high Schmidt number fluids, such as water, in which species diffusion scales are one and a half orders of magnitude smaller than the smallest flow scales. The discussion below attempts to provide an overview of turbulent mixing; the attendant experimental, theoretical, and computational challenges; and suggests possible future directions for progress in this important field

Robert MacPherson and arithmetic groups

We survey contributions of Robert MacPherson to the theory of arithmetic groups. There are two main areas we discuss: (i) explicit reduction theory for Siegel modular threefolds, and (ii) constructions of compactifications of locally symmetric spaces. The former is joint work with Mark McConnell, the latter with Lizhen Ji.Comment: Dedicated to Robert MacPherson on the occasion of his 60th birthda

Review of the tribe Melolonthini in the southeastern United States (Coleoptera: Scarabaeidae: Melolonthinae)

This paper reviews the tribe Melolonthini (Scarabaeidae, Melolonthinae) in the southeastern United States, primarily in the states of Mississippi, Alabama, Georgia, and northern Florida. Four new species are described: Gronocarus inornatus, Hypothyce burnei, Polyphylla donaldsoni, and Polyphylla woodruffi. One new synonymy is made: Gronocarus multispinosus Howden is synonymized under Gronocarus autumnalis Schaeffer. Description of the previously unknown female is made for Polyphylla brownae Young. New collection records are presented for many species. Comments on natural histories and a key to species (omitting only species of the genus Phyllophaga Harris) in this region are presented

New record for Tesarius Rakovic in South America (Coleoptera: Scarabaeidae: Aphodiinae: Psammodiini)

The genus Tesarius Rakovic (1981) is an interesting group of wingless, nearly eyeless (yet probably functionally blind), sand dune-dwelling scarabs. There are presently 5 species in the genus, T. sulcipennis (Lea 1904) from Tasmania and 4 species in western North America. One of these native North American species, T. caelatus (LeConte 1857) has been found in Britain (Johnson 1975). The genus is reviewed by Rakovic (1981, 1984), who provides a key to species