By tempered Monte Carlo simulations, an Almeida-Thouless AT phase-boundary line in site-diluted Ising spin systems is searched for. Spins interact only through dipolar fields and occupy a small fraction of lattice sites. The spin-glass susceptibility of these systems and of the Sherrington-Kirkpatrick model are compared. The correlation length as a function of system size and temperature is als...

In this note, we consider a Sherrington-Kirkpatrick(SK)-type model on Z for d 1, weighted by a function allowing for any single spin to interact with a small proportion of the other ones. Both mean eld and diluted cases are considered, and we compute the replica symmetric solution at high temperature in those two cases. We are also able to study the in uence of some boundary conditions on the r...

In his recent paper [6] Michel Talagrand gave a rigorous proof of the Parisi formula for the free energy of the Sherrington-Kirkpatrick model. In the present paper we utilize the methodology developed in [6] to compute the thermodynamic limit of the free energy of the set of configurations with the fixed average of spins N−1 ∑ i≤N σi = uN as uN → u ∈ [−1, 1].

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 ...

© 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...

Talagrand’s positivity principle, Section 6.6 in [9], states that one can slightly perturb a Hamiltonian in the Sherrington-Kirkpatrick model in such a way that the overlap of two configurations under the perturbed Gibbs’ measure will become typically nonnegative. In this note we observe that abstracting from the setting of the SK model only improves the result and does not require any modifica...

We introduce here a new universality conjecture for levels of random Hamiltonians, in the same spirit as the local REM conjecture made by S. Mertens and H. Bauke. We establish our conjecture for a wide class of Gaussian and non-Gaussian Hamiltonians, which include the p-spin models, the Sherrington-Kirkpatrick model and the number partitioning problem. We prove that our universality result is o...