ar X iv : 0 80 1 . 25 11 v 1 [ m at h . PR ] 1 6 Ja n 20 08 Thermodynamic Limit for the Invariant Measures in Supercritical Zero Range Processes

ar X iv : 0 80 1 . 25 00 v 1 [ co nd - m at . o th er ] 1 6 Ja n 20 08 Making , probing and understanding ultracold Fermi

ar X iv : 0 80 1 . 40 36 v 1 [ m at h . PR ] 2 5 Ja n 20 08 On

In the paper we study the infimum convolution inequalites. Such an inequality was first introduced by B. Maurey to give the optimal concentration of measure behaviour for the product exponential measure. We show how IC inequalities are tied to concentration and study the optimal cost functions for an arbitrary probability measure μ. In particular, we show the optimal IC inequality for product l...

ar X iv : 0 80 9 . 42 29 v 1 [ m at h - ph ] 2 4 Se p 20 08 Thermodynamic Limit for Spin Glasses . Beyond the Annealed Bound

Using a correlation inequality of Contucci and Lebowitz for spin glasses, we demonstrate existence of the thermodynamic limit for short-ranged spin glasses, under weaker hypotheses than previously available, namely without the assumption of the annealed bound.

ar X iv : 1 10 9 . 32 20 v 1 [ m at h . PR ] 1 4 Se p 20 11 A limit theorem for occupation measures of Lévy processes in compact groups

A short proof is given of a necessary and sufficient condition for the normalized occupation measure of a Lévy process in a metrizable compact group to be asymptotically uniform with probability one.

ar X iv : 0 80 1 . 17 80 v 1 [ m at h . O C ] 1 1 Ja n 20 08 Alternating minimization and projection methods for nonconvex problems

We study the convergence properties of alternating proximal minimization algorithms for (nonconvex) functions of the following type: L(x, y) = f(x) + Q(x, y) + g(y) where f : R → R∪{+∞} and g : R → R∪{+∞} are proper lower semicontinuous functions and Q : R×R → R is a smooth C (finite valued) function which couples the variables x and y. The algorithm is defined by: (x0, y0) ∈ R n × R given, (xk...