We continue our presentation of mathematically rigorous results about the Sherrington-Kirkpatrick mean eld spin glass model. Here we establish some properties of the distribution of overlaps between real replicas. They are in full agreement with the Parisi accepted picture of spontaneous replica symmetry breaking. As a byproduct, we show that the selfaveraging of the Edwards-Anderson uctuating ...

This paper describes two applications of evaluation techniques for the promotion of sustainable development in national and international policy-making. The first is based on a programme of work being undertaken for the European Commission, to carry out Sustainability Impact Assessments of the current round of WTO Trade Negotiations (Kirkpatrick et al 2002). The second application described is ...

This paper studies a martingale method introduced by Comets and Neveu for the Sherrington-Kirkpatrick model. We apply it here to a broad class of models to get a theorem that links the convergence in distribution of the partition function of a disordered model to the asymptotic behaviour of the partition function of its \ferromagnetic analogue ". A byproduct of this result is the deduction of t...

© Policy Press 2015. This is a post-peer-review, pre-copy edited version of an article published in Policy & Politics. The definitive publisher-authenticated version Sarto, F, Veronesi, G, Kirkpatrick, I and Cuccurullo, C (2015) Exploring Regionalism in Public Management Reforms: The Case of the Italian Hospital Sector. Policy and Politics, is available online at: http://dx.doi.org/10.1332/0305...

In [11] Michel Talagrand gave a rigorous proof of the Parisi formula in the SherringtonKirkpatrick model. In this paper we build upon the methodology developed in [11] and extend Talagrand’s result to a more general class of mean field models with spins distributed according to an arbitrary probability measure on the bounded subset of the real line and with external field term given by an arbit...

In [11] Michel Talagrand gave a rigorous proof of the Parisi formula in the classical Sherrington-Kirkpatrick (SK) model. In this paper we build upon the methodology developed in [11] and extend Talagrand’s result to the class of SK type models in which the spins have arbitrary prior distribution on a bounded subset of the real line.