Ja n 20 01 Predictability : a way to characterize Complexity

ar X iv : h ep - t h / 01 01 22 5 v 1 3 1 Ja n 20 01 Wilson Loops in N = 4 Supersymmetric Yang - Mills Theory from Random Matrix Theory

Based on the AdS/CFT correspondence, string theory has given exact predictions for circular Wilson loops in U (N) N = 4 supersymmetric Yang-Mills theory to all orders in a 1/N expansion. These Wilson loops can also be derived from Random Matrix Theory. In this paper we show that the result is generically insensitive to details of the Random Matrix Theory potential. We also compute all higher k-...

ar X iv : m at h / 06 01 47 5 v 2 [ m at h . PR ] 2 9 Ja n 20 07 Isoperimetry between exponential and Gaussian

We study the isoperimetric problem for product probability measures with tails between the exponential and the Gaussian regime. In particular we exhibit many examples where coordinate half-spaces are approximate solutions of the isoperimetric problem.

ar X iv : m at h / 02 01 11 6 v 1 [ m at h . A T ] 1 4 Ja n 20 02 GERBES AND HOMOTOPY QUANTUM FIELD THEORIES

For manifolds with freely generated first homology, we characterize gerbes with connection as functors on a certain surface cobordism category. This allows us to relate gerbes with connection to Turaev's 1+1-dimensional homotopy quantum field theories, and we show that flat gerbes on such spaces as above are the same as a specific class of rank one homotopy quantum field theories.

2 2 Ja n 20 01 Sticky Spheres , Entropy barriers and Non - equilibrium phase transitions

A sticky spheres model to describe slow dynamics of a non-equilibrium system is proposed. The dynamical slowing down is due to the presence of entropy barriers. We present an exact mean field analysis of the model and demonstrate that there is a non-equilibrium phase transition from an exponential cluster size distribution to a powerlaw.

Ja n 20 01 On the parity of ranks of Selmer groups