19 citations
3 papers
math-ph2005★ 19 cited
Mott transition in lattice boson models
Roberto Fernandez, Juerg Froehlich, Daniel Ueltschi
We use mathematically rigorous perturbation theory to study the transition between the Mott insulator and the conjectured Bose-Einstein condensate in a hard-core Bose-Hubbard model…
math.DS2005★ 3 cited
Weak mixing of maps with bounded cutting parameter
El Houcein El Abdalaoui, Arnaldo A. N. Noguiera, Thierry T. D. De Larue
In the class of Ornstein transformations the mixing property satisfies a 0-1 law. Here we consider Ornstein's construction with bounded cutting parameter. In fact, these latter tra…
math.PR2005★ 3 cited
Invariance principles for standard-normalized and self-normalized random fields
Mohamed El Machkouri, Lahcen Ouchti
We investigate the invariance principle for set-indexed partial sums of a stationary field of martingale-difference or independent random variables…