Analytic invariants for the 1:−11:-1 resonance

Associated to analytic Hamiltonian vector fields in $\mathbb{C}^4$ having an equilibrium point satisfying a non semisimple $1:-1$ resonance, we construct two universal constants that are invariant with respect to local analytic symplectic changes of coordinates. These invariants vanish when the Hamiltonian is integrable. We also prove that one of these invariants does not vanish on an open and dense set.Comment: 48 pages, 5 figure

Compressed electroweakino spectra at the LHC

In this work, we examine the sensitivity of monojet searches at the LHC to directly produced charginos and neutralinos (electroweakinos) in the limit of small mass splitting, where the traditional multilepton plus missing energy searches loose their sensitivity. We first recast the existing 8 TeV monojet search at CMS in terms of a SUSY simplified model with only light gauginos (winos and binos) or only light higgsinos. The current searches are not sensitive to MSSM like production cross sections, but would be sensitive to models with 2-20 times enhanced production cross section, for particle masses between 100 GeV and 250 GeV. Then we explore the sensitivity in the 14 TeV run of the LHC. Here we emphasise that in addition to the pure monojet search, soft leptons present in the samples can be used to increase the sensitivity. Exclusion of electroweakino masses up to 200 GeV is possible with 300 fb$^{-1}$ at the LHC, if the systematic error can be reduced to the 1% level. Discovery is possible with 3000 fb$^{-1}$ in some regions of parameter space.Comment: 22 pages, 10 figures. Minor corrections, references added, matched published versio

A general formulation for fault detection in stochastic continuous-time dynamical systems

In this work, a general formulation for fault detection in stochastic continuoustime dynamical systems is presented. This formulation is based on the definition of a pre-Hilbert space so that orthogonal projection techniques, based on the statistics of the involved stochastic processes can be applied. The general setting gathers different existing schemes within a unifying framework

A comparative analysis of fault detection schemes for stochastic continuous-time dynamical systems

This paper addresses a comparative analysis of the existing schemes for fault detection in continuous-time stochastic dynamical systems. Such schemes prove to be efficient when dealing with specific types of fault functions; on the other hand, they show very different performance sensitivity when dealing with new fault profiles and system noise. The study suggests the use of a combined scheme, supervised by a high level decision rule set

From explicit prohibition to ambiguity in prohibiting

El trabajo fue presentado en la sección monográfica sobre lenguaje tabú en el mencionado congreso.This contribution will deal with two topics closely related and intermingled. I firstly will try to show how one of the salient features of euphemisms is their ambiguity and/or vagueness (Grondelaers and Geeraerts, 1998) to the extent that even sentences in which lexicalised euphemisms are used can become dysphemistic if they are not ambiguous. This means that ambiguous and/or vague sentences play a fundamental, cognitive role (Tuggy, 2006). This is the case of a well-known excerpt from Somerset Maugham in which, in spite of the fact that all the nouns used are euphemisms, the excerpt itself can be considered dysphemistic. Conversely, I will show two instances from two songs in which female pudenda are euphemistically and ambiguously alluded to. Secondly, I will try to apply my previous reflections to politically correct language. In order to do so I will take as a starting point the fact that political correctness spread across the western countries in the same decade (1960-1970) in which the motto “Il est interdit d’interdire” got also trendy (Hughes, 2006 and 2010). As a result of the fact that the noun ‘prohibition’ (and its cognates, derivatives and synonyms) became “prohibited” as a politically incorrect word, prohibition itself has to be phrased in ambiguous sentences. For instance, instead of the (currently) politically incorrect notice “No Smoking” or “Smoking is prohibited”, we frequently find the politically correct one “Thank you for not smoking”, where the sentence meaning is pretty different from what the author of the notice tries to mean; since the sentence meaning is that someone thanks you for not smoking, while what the author of the notice intends to mean that smoking is prohibited.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech

Input Specificity and Location

In a two-region economy, two upstream firms supply an input to two consumer goods firms. For two different location patterns (site specificity and co-location of the suppliers), the firms play a three-stage game: the input suppliers select transport rates; then they choose outputs; finally the buyers select quantities of the consumer good. It is concluded that the site specificity of the input leads to a high transport cost and to its specialized adaptation to the needs of the local user.Technological Choice; Spatial Oligopoly; Vertically-linked Industries.

Exchange of intermediate goods and the agglomeration of firms

In a game where firms select locations,technological interactions through the exchange of intermediate goods bring about a multiplicity of locational equilibria and entail a pattern of agglomeration of the productive activity with the variation of the transport costs that is opposite to the one usually proposed in the literature, namely in VENABLES (1996). VENABLES, Anthony (1996), "Equilibrium locations of vertically linked industries", International Economic Review, 37 (2): 341-359.