1 8 Ju n 20 09 Coloured Hard - Dimers

Central Limit Theorem for Coloured Hard Dimers

Using an averaged generating function for coloured hard-dimers, some random variables of interest are studied. The main result lies in the fact that all their probability distributions obey a central limit theorem.

ar X iv : 0 90 6 . 33 09 v 1 [ m at h . A P ] 1 8 Ju n 20 09 ricci flow of negatively curved incomplete surfaces

We show uniqueness of Ricci flows starting at a surface of uniformly negative curvature, with the assumption that the flows become complete instantaneously. Together with the more general existence result proved in [10], this settles the issue of well-posedness in this class.

X iv : h ep - t h / 00 06 09 7 v 1 1 4 Ju n 20 00 Interaction of electric charges in ( 2 + 1 ) D magnetic dipole gas

ar X iv : 0 90 6 . 33 84 v 1 [ m at h . A P ] 1 8 Ju n 20 09 ENERGY DISPERSED LARGE DATA WAVE MAPS IN 2 + 1 DIMENSIONS

In this article we consider large data Wave-Maps from R into a compact Riemannian manifold (M, g), and we prove that regularity and dispersive bounds persist as long as a certain type of bulk (non-dispersive) concentration is absent. This is a companion to our concurrent article [21], which together with the present work establishes a full regularity theory for large data Wave-Maps.

ar X iv : 0 90 6 . 32 38 v 1 [ m at h . N T ] 1 7 Ju n 20 09 GEOMETRIC AND p - ADIC MODULAR FORMS OF HALF - INTEGRAL WEIGHT by Nick