15 resultados para Parigi,Grands,Ensembles.
em Consorci de Serveis Universitaris de Catalunya (CSUC), Spain
Resumo:
Peer-reviewed
Resumo:
To describe the collective behavior of large ensembles of neurons in neuronal network, a kinetic theory description was developed in [13, 12], where a macroscopic representation of the network dynamics was directly derived from the microscopic dynamics of individual neurons, which are modeled by conductance-based, linear, integrate-and-fire point neurons. A diffusion approximation then led to a nonlinear Fokker-Planck equation for the probability density function of neuronal membrane potentials and synaptic conductances. In this work, we propose a deterministic numerical scheme for a Fokker-Planck model of an excitatory-only network. Our numerical solver allows us to obtain the time evolution of probability distribution functions, and thus, the evolution of all possible macroscopic quantities that are given by suitable moments of the probability density function. We show that this deterministic scheme is capable of capturing the bistability of stationary states observed in Monte Carlo simulations. Moreover, the transient behavior of the firing rates computed from the Fokker-Planck equation is analyzed in this bistable situation, where a bifurcation scenario, of asynchronous convergence towards stationary states, periodic synchronous solutions or damped oscillatory convergence towards stationary states, can be uncovered by increasing the strength of the excitatory coupling. Finally, the computation of moments of the probability distribution allows us to validate the applicability of a moment closure assumption used in [13] to further simplify the kinetic theory.
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This paper derives approximations allowing the estimation of outage probability for standard irregular LDPC codes and full-diversity Root-LDPC codes used over nonergodic block-fading channels. Two separate approaches are discussed: a numerical approximation, obtained by curve fitting, for both code ensembles, and an analytical approximation for Root-LDPC codes, obtained under the assumption that the slope of the iterative threshold curve of a given code ensemble matches the slope of the outage capacity curve in the high-SNR regime.
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This paper presents our investigation on iterativedecoding performances of some sparse-graph codes on block-fading Rayleigh channels. The considered code ensembles are standard LDPC codes and Root-LDPC codes, first proposed in and shown to be able to attain the full transmission diversity. We study the iterative threshold performance of those codes as a function of fading gains of the transmission channel and propose a numerical approximation of the iterative threshold versus fading gains, both both LDPC and Root-LDPC codes.Also, we show analytically that, in the case of 2 fading blocks,the iterative threshold root of Root-LDPC codes is proportional to (α1 α2)1, where α1 and α2 are corresponding fading gains.From this result, the full diversity property of Root-LDPC codes immediately follows.
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The increased fragility of the banking industry has generatedgrowing concern about the risks associated with the paymentsystems. Although in most industrial countries differentinterbank payment systems coexist, little is really knownabout their propierties in terms of risk and efficiency. Wetackle this question by comparing the two main types ofpayment systems, gross and net, in a framework whereuncertainty arises from several sources: the time ofconsumption, the location of consumption and the return oninvestment. Payments across locations can be made either bydirectly transferrring liquidity or by transferring claimsagainst the bank in the other location. The two mechanism areinterpreted as the gross and net settlement systems ininterbank payments. We characterize the equilibria in the twosystems and identify the trade-off in terms of safety andefficiency.
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We model systemic risk in an interbank market. Banks face liquidityneeds as consumers are uncertain about where they need to consume. Interbank credit lines allow to cope with these liquidity shocks while reducing the cost of maintaining reserves. However, the interbank market exposes the system to a coordination failure(gridlock equilibrium) even if all banks are solvent. When one bankis insolvent, the stability of the banking system is affected in various ways depending on the patterns of payments across locations. We investigate the ability of the banking industry to withstand the insolvency of one bank and whether the closure ofone bank generates a chain reaction on the rest of the system. Weanalyze the coordinating role of the Central Bank in preventing payments systemic repercussions and we examine the justification ofthe Too-big-to-fail-policy.
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The object of this paper is to analyze rigorously the role of a Lender ofLast Resort by providing a framework where the distinction betweeninsolvency and illiquidity is not clearly cut. Determining the optimalLender of Last Resort policy requires a careful modeling of the structureof the interbank market and of the closure policy. In our set up, theresults depend upon the existence of moral hazard. If the main source ofmoral hazard is the banks lack of incentives to screen loans, then theLender of Last Resort may have to intervene to improve the e¢ciency of anunsecured interbank market; if instead, the main source of moral hazard isloans monitoring, then the interbank market should be secured and theLender of Last Resort should never intervene.
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In this article, we analyze the ability of the early olfactory system to detect and discriminate different odors by means of information theory measurements applied to olfactory bulb activity images. We have studied the role that the diversity and number of receptor neuron types play in encoding chemical information. Our results show that the olfactory receptors of the biological system are low correlated and present good coverage of the input space. The coding capacity of ensembles of olfactory receptors with the same receptive range is maximized when the receptors cover half of the odor input space - a configuration that corresponds to receptors that are not particularly selective. However, the ensemble's performance slightly increases when mixing uncorrelated receptors of different receptive ranges. Our results confirm that the low correlation between sensors could be more significant than the sensor selectivity for general purpose chemo-sensory systems, whether these are biological or biomimetic.
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The number of existing protein sequences spans a very small fraction of sequence space. Natural proteins have overcome a strong negative selective pressure to avoid the formation of insoluble aggregates. Stably folded globular proteins and intrinsically disordered proteins (IDP) use alternative solutions to the aggregation problem. While in globular proteins folding minimizes the access to aggregation prone regions IDPs on average display large exposed contact areas. Here, we introduce the concept of average meta-structure correlation map to analyze sequence space. Using this novel conceptual view we show that representative ensembles of folded and ID proteins show distinct characteristics and responds differently to sequence randomization. By studying the way evolutionary constraints act on IDPs to disable a negative function (aggregation) we might gain insight into the mechanisms by which function - enabling information is encoded in IDPs.
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The performance of magnetic nanoparticles is intimately entwined with their structure, mean size and magnetic anisotropy. Besides, ensembles offer a unique way of engineering the magnetic response by modifying the strength of the dipolar interactions between particles. Here we report on an experimental and theoretical analysis of magnetic hyperthermia, a rapidly developing technique in medical research and oncology. Experimentally, we demonstrate that single-domain cubic iron oxide particles resembling bacterial magnetosomes have superior magnetic heating efficiency compared to spherical particles of similar sizes. Monte Carlo simulations at the atomic level corroborate the larger anisotropy of the cubic particles in comparison with the spherical ones, thus evidencing the beneficial role of surface anisotropy in the improved heating power. Moreover we establish a quantitative link between the particle assembling, the interactions and the heating properties. This knowledge opens new perspectives for improved hyperthermia, an alternative to conventional cancer therapies.
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El artículo intentará ofrecer una pincelada sobre qué nos deparan las unidades fraseológicas de diversas procedencias cuando se refieren a otras lenguas o a sus hablantes. La connotación es casi siempre peyorativa para la lengua del otro, se trate de una variante vernácula minorizada, como el patués, o de cualquier idioma extranjero ininteligible y por ello molesto a los autóctonos. El prejuicio lingüístico, constante universal que persiste en nuestro mundo globalizado bajo diversas formas, puede originarse por circunstancias históricas, en el caso de contactos entre pueblos por movimientos migratorios, conflictos bélicos o directamente por invasiones. Sería el caso del pidgin English para los súbditos de Su Majestad que se vieron obligados a aprender la lengua del Imperio, o del parler petit nègre de los africanos orientales en el siglo XIX. La algarabía es ahora sinónimo de confusión lingüística y antaño de lengua árabe, incomprensible para los peninsulares, «que hablaban en cristiano». En otras ocasiones, se trata del estereotipo de la cultura remota desconocida, como «Me suena a chino». Nuestra cata abarcará, entre otros, ejemplos en inglés, francés, castellano y catalán.
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The local thermodynamics of a system with long-range interactions in d dimensions is studied using the mean-field approximation. Long-range interactions are introduced through pair interaction potentials that decay as a power law in the interparticle distance. We compute the local entropy, Helmholtz free energy, and grand potential per particle in the microcanonical, canonical, and grand canonical ensembles, respectively. From the local entropy per particle we obtain the local equation of state of the system by using the condition of local thermodynamic equilibrium. This local equation of state has the form of the ideal gas equation of state, but with the density depending on the potential characterizing long-range interactions. By volume integration of the relation between the different thermodynamic potentials at the local level, we find the corresponding equation satisfied by the potentials at the global level. It is shown that the potential energy enters as a thermodynamic variable that modifies the global thermodynamic potentials. As a result, we find a generalized Gibbs-Duhem equation that relates the potential energy to the temperature, pressure, and chemical potential. For the marginal case where the power of the decaying interaction potential is equal to the dimension of the space, the usual Gibbs-Duhem equation is recovered. As examples of the application of this equation, we consider spatially uniform interaction potentials and the self-gravitating gas. We also point out a close relationship with the thermodynamics of small systems.
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Recent experiments of H2 adsorption on Pd(111) [T. Mitsui et al., Nature (London) 422, 705 (2003)] have questioned the classical Langmuir picture of second order adsorption kinetics at high surface coverage requiring pairs of empty sites for the dissociative chemisorption. Experiments find that at least three empty sites are needed. Through density functional theory, we find that H2 dissociation is favored on ensembles of sites that involve a Pd atom with no direct interaction with adsorbed hydrogen. Such active sites are formed by aggregation of at least 3 H-free sites revealing the complex structure of the "active sites."
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The publication of the fourth IPCC report, as well as the number of research results reported in recent years about the regionalization of climate projections, were the driving forces to justify the update of the report on climate change in Catalonia. Specifically, the new IPCC report contains new climate projections at global and continental scales, while several international projects (especially European projects PRUDENCE and ENSEMBLES) have produced continental-scale climate projections, which allow for distinguishing between European regions. For Spain, some of these results have been included in a document commissioned by the“State Agency of Meteorology”. In addition, initiatives are being developed within Catalonia (in particular, by the Meteorological Service of Catalonia) to downscale climate projections in this area. The present paper synthesizes results of these and other previously published studies, as well as our own analysis of results of the ENSEMBLES project. The aim is to propose scenarios of variation in temperature and rainfall in Catalonia during the 21st Century. Thus, by the middle of this century temperatures could rise up to 2 C compared with that of the late 20th Century. These increases would probably be higher in summer than in winter, generalized across the territory but less pronounced in coastal areas. Rainfall, however, would not change much, but it could slightly decrease. Towards the end of the 21st Century, temperatures could rise to about 5 C above that of the last century, while the average rainfall could decrease by more than 10%. Increases in temperature would be higher in summer and in areas further from the coast. Rainfall would decrease especially during the summer, while it could even increase in winter in mountainous areas such as the Pyrenees.