Forecasts of decadal climate change at subcontinental scales made by global climate models (GCMs) are currently too uncertain to be useful to policy makers. For example, the forecasts of global mean surface temperatures in the current Intergovernmental Panel on Climate Change (IPCC) Special Report on Emissions (SRES) A1B scenario show an agreement across 15 models of about ±0.75 K in warming of...

In this paper, we propose a clustering based linear ordering algorithm which consists of global ordering and local ordering. In the global ordering, the algorithm forms clusters from n given vertices and orders the clusters. In tlhe local ordering, the elements in each cluster are linearly ordered. The linear order, thus produced, is used to obtain optimal k-way partitioning based on scaded cos...

In this paper, a global methodology for the long-term prediction of time series is proposed. This methodology combines direct prediction strategy and sophisticated input selection criteria: k-nearest neighbors approximation method (k-NN), mutual information (MI) and nonparametric noise estimation (NNE). A global input selection strategy that combines forward selection, backward elimination (or ...

To every compatible system of Galois representations of a global field K, there is associated a natural invariant K conn , the smallest extension of K over which the associated algebraic monodromy groups become connected. We present a purely field-theoretic construction of K conn for all Galois representations arising from cohomology.

We study global Mumford-Shah minimizers in R , introduced by Bonnet as blow-up limits of Mumford-Shah minimizers. We prove a new monotonicity formula for the energy of u when the singular set K is contained in a smooth enough cone. We then use this monotonicity to prove that for any reduced global minimizer (u,K) in R, if K is contained in a half-plane and touching its edge, then it is the half...

Let K be a global field of characteristic not 2. Let Z = H\G be a symmetric variety defined over K and S a finite set of places of K. We obtain counting and equidistribution results for the S-integral points of Z. Our results are effective when K is a number field.

Given any global field k of characteristic 2, we construct a Châtelet surface over k that fails to satisfy the Hasse principle. This failure is due to a Brauer-Manin obstruction. This construction extends a result of Poonen to characteristic 2, thereby showing that the étale-Brauer obstruction is insufficient to explain all failures of the Hasse principle over a global field of any characteristic.

Although the constraint satisfaction problem is NP-complete in general, a number of constraint classes have been identified for which some fixed level of local consistency is sufficient to ensure global consistency. In this paper we describe a simple algebraic property which characterises all possible constraint types for which strong k-consistency is sufficient to ensure global consistency, fo...

Although the constraint satisfaction problem is NP-complete in general, a number of constraint classes have been identiied for which some xed level of local consistency is suucient to ensure global consistency. In this paper , we describe a simple algebraic property which characterises all possible constraint types for which strong k-consistency is suucient to ensure global consistency, for eac...

Given any global field k of characteristic 2, we construct a Châtelet surface over k which fails to satisfy the Hasse principle. This failure is due to a Brauer-Manin obstruction. This construction extends a result of Poonen to characteristic 2, thereby showing that the étale-Brauer obstruction is insufficient to explain all failures of the Hasse principle over a global field of any characteris...