ar X iv : m at h / 05 05 09 0 v 1 [ m at h . PR ] 5 M ay 2 00 5 SUPERDIFFUSIVITY OF TWO DIMENSIONAL LATTICE GAS MODELS

ar X iv : m at h / 05 05 08 2 v 1 [ m at h . R A ] 5 M ay 2 00 5 FINITE - DIMENSIONAL ALGEBRAS AND QUIVERS

This is an overview article on finite-dimensional algebras and quivers, written for the Encyclopedia of Mathematical Physics. We cover path algebras, Ringel-Hall algebras and the quiver varieties of Lusztig and Nakajima.

ar X iv : m at h / 05 05 63 5 v 1 [ m at h . PR ] 3 0 M ay 2 00 5 POISSON MICROBALLS : SELF - SIMILARITY AND DIRECTIONAL ANALYSIS

We study a random field obtained by counting the number of balls containing each point, when overlapping balls are thrown at random according to a Poisson random measure. We are particularly interested in the local asymptotical self-similarity (lass) properties of the field, as well as the action of X-ray transforms. We exhibit two different lass properties when considering the asymptotic eithe...

ar X iv : m at h / 06 05 35 5 v 1 [ m at h . G R ] 1 3 M ay 2 00 6 Axes in Outer Space

ar X iv : m at h / 05 05 36 8 v 1 [ m at h . PR ] 1 7 M ay 2 00 5 SLE coordinate changes

The purpose of this note is to describe a framework which unifies radial, chordal and dipolar SLE. When the definition of SLE(κ; ρ) is extended to the setting where the force points can be in the interior of the domain, radial SLE(κ) becomes chordal SLE(κ; ρ), with ρ = κ − 6, and vice versa. We also write down the martingales describing the Radon-Nykodim derivative of SLE(κ; ρ1, . . . , ρn) wit...

ar X iv : h ep - e x / 05 05 05 0 v 2 1 9 M ay 2 00 5 CLEO RESULTS ON TRANSITIONS IN HEAVY QUARKONIA a

Recent CLEO results on electromagnetic and hadronic transitions in charmonium and bot-tomonium systems are reviewed.