ar X iv : m at h / 06 02 15 4 v 1 [ m at h . N T ] 8 F eb 2 00 6 What is the Inverse of Repeated Square and Multiply Algorithm ?

ar X iv : m at h / 05 02 06 9 v 1 [ m at h . SP ] 3 F eb 2 00 5 Triviality of the Peripheral Point Spectrum

If T t = e Zt is a positive one-parameter contraction semigroup acting on l p (X) where X is a countable set and 1 ≤ p < ∞, then the peripheral point spectrum P of Z cannot contain any non-zero elements. The same holds for Feller semigroups acting on L p (X) if X is locally compact.

ar X iv : m at h / 06 02 06 9 v 1 [ m at h . SP ] 4 F eb 2 00 6 SEMICLASSICAL NON - CONCENTRATION NEAR HYPERBOLIC ORBITS

For a large class of semiclassical pseudodifferential operators, including Schrödinger operators, P (h) = −h∆g + V (x), on compact Riemannian manifolds, we give logarithmic lower bounds on the mass of eigenfunctions outside neighbourhoods of generic closed hyperbolic orbits. More precisely we show that if A is a pseudodifferential operator which is microlocally equal to the identity near the hy...

ar X iv : m at h / 05 02 15 9 v 1 [ m at h . G T ] 8 F eb 2 00 5 POINT CONFIGURATIONS AND BLOW - UPS OF COXETER COMPLEXES

The minimal blow-ups of simplicial Coxeter complexes are natural generalizations of the real moduli space of Riemann spheres. They inherit a tiling by the graph-associahedra convex polytopes. We obtain configuration space models for these manifolds (of spherical and Euclidean Coxeter type) using particles on lines and circles. A (Fulton-MacPherson) compactification of these spaces is described ...

ar X iv : m at h / 06 05 37 9 v 1 [ m at h . R A ] 1 5 M ay 2 00 6 AN EXTENDED FREUDENTHAL MAGIC SQUARE IN CHARACTERISTIC 3

Date: May 15, 2006. 2000 Mathematics Subject Classification. Primary 17B25.

ar X iv : a st ro - p h / 98 02 08 2 v 1 6 F eb 1 99 8 What is the True Covering Factor of Absorbing Matter in BALQSO ’ s ?