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Statement of the main result. We study a two-center two-body problem. Consider two xed centers Q1 and Q2 of masses m1 = m2 = 1 located at distance from each other and two small particles Q3 and Q4...
We elaborate the theory of the stable Bernstein center of a p-adic group G, and apply it to state a general conjecture on test functions for Shimura varieties due to the author and R. Kottwitz. This...
The derivation of a trigonometric equation for the nine-point, rectangular prismatic array is illustrated. In many cases, the equation can be used to reproduce a ninth datum at an arbitrary point near...
We show that the the image of the regular projection of a vertex of a cone over a triangle that minimizes the ratio of the cube of the area of the boundary of the cone and the square of the volume o...
We compare a heuristic count of components of the center variety in degree 3 with the equivalent count obtained from known families.From this comparison we conjecture that more than 100 unknown compon...
For a class of partially hyperbolic Ck, k > 1 diffeomorphisms with circle center leaves we prove existence and finiteness of physical (or Sinai-Ruelle-Bowen) measures, whose basins cover a full Lebesg...
Let G(V, E, W) be a graph with n-vertex-set V and m-edge-set E in which each edge e is associated with a positive distance W(e). The p-Center problem is to locate some kind of facilities at p vertic...

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