A Strichartz estimate for de Sitter space

We demonstrate a family of Strichartz estimates for the conformally invariant Klein-Gordon equation on a class of asymptotically de Sitter spaces with C^2 metrics by using well-known local Strichartz estimates and a rescaling argument. This class of metrics includes de Sitter space. We also give an application of the estimates to a semilinear Klein-Gordon equation on these spaces.Comment: 9 pages; v3: final version, corrected MSC classe

A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces

In this paper we construct a parametrix for the forward fundamental solution of the wave and Klein-Gordon equations on asymptotically de Sitter spaces without caustics. We use this parametrix to obtain asymptotic expansions for solutions of the inhomogeneous equation and to obtain a uniform L^p estimate for a family of bump functions traveling to infinity.Comment: 42 pages; v2: minor revisions reflecting referee comment

Dinner

Dinner is an interactive exhibition which presents appropriated works of art collected and hung in a clustered salon style, as well as a fully realized recreation based on a 16th century Dutch banquet still-life, which presents guests with meats, cheeses, fruits, vegetables, breads, and wine to share and imbibe. Dining ware is provided for guests at the entrance to the exhibit, as are suggested topics of conversation, which are presented on slips of paper for guests to carry with them throughout their time in the space. Within the collection of wall-mounted works are references to ancient Greek and Roman marble statues, portraits of European elites spanning the 17th and 18th century, and more modern children’s cartoons from the 1980s and 90s. The disparate references align into a singular motif by using repetition of color, pose, framing and material within the artworks. This installation explores themes of beauty, class, privilege, history, excess, and humor while providing a space for cultivating deeper conversations on said subjects through the act of sharing, looking, and eating

Geometrical enhancement of the electric field: Application of fractional calculus in nanoplasmonics

We developed an analytical approach, for a wave propagation in metal-dielectric nanostructures in the quasi-static limit. This consideration establishes a link between fractional geometry of the nanostructure and fractional integro-differentiation. The method is based on fractional calculus and permits to obtain analytical expressions for the electric field enhancement.Comment: Published in EP