Stability and asymptotic analysis of a fluid-particle interaction model

We are interested in coupled microscopic/macroscopic models describing the evolution of particles dispersed in a fluid. The system consists in a Vlasov-Fokker-Planck equation to describe the microscopic motion of the particles coupled to the Euler equations for a compressible fluid. We investigate dissipative quantities, equilibria and their stability properties and the role of external forces. We also study some asymptotic problems, their equilibria and stability and the derivation of macroscopic two-phase models.

Contractive probability metrics and asymptotic behavior of dissipative kinetic equations

The present notes are intended to present a detailed review of the existing results in dissipative kinetic theory which make use of the contraction properties of two main families of probability metrics: optimal mass transport and Fourier-based metrics. The first part of the notes is devoted to a self-consistent summary and presentation of the properties of both probability metrics, including new aspects on the relationships between them and other metrics of wide use in probability theory. These results are of independent interest with potential use in other contexts in Partial Differential Equations and Probability Theory. The second part of the notes makes a different presentation of the asymptotic behavior of Inelastic Maxwell Models than the one presented in the literature and it shows a new example of application: particle's bath heating. We show how starting from the contraction properties in probability metrics, one can deduce the existence, uniqueness and asymptotic stability in classical spaces. A global strategy with this aim is set up and applied in two dissipative models.

On the asymptotic expansion of the colored Jones polynomial for torus knots

In the asymptotic expansion of the hyperbolic specification of the colored Jones polynomial of torus knots, we identify different geometric contributions, in particular Chern-Simons invariant and Reidemeister torsion.

Asymptotic flocking dynamics for the kinetic Cucker-Smale model

In this paper, we analyse the asymptotic behavior of solutions of the continuous kinetic version of flocking by Cucker and Smale [16], which describes the collective behavior of an ensemble of organisms, animals or devices. This kinetic version introduced in [24] is here obtained starting from a Boltzmann-type equation. The large-time behavior of the distribution in phase space is subsequently studied by means of particle approximations and a stability property in distances between measures. A continuous analogue of the theorems of [16] is shown to hold for the solutions on the kinetic model. More precisely, the solutions will concentrate exponentially fast their velocity to their mean while in space they will converge towards a translational flocking solution.

Optimal asymptotic bounds for spherical designs

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Research activities at european level performed at the Institute for Públic Safety of Catalonia

To start off, this document describes the Catalan model for emergencies response and its reference frame in terms of geography, location population…In addition, describes the main actors involved in emergencies response such as: police, the Fire and Rescue Emergency Service, the Emergency Medical System, Civil Protection, Reception and Management of Emergency Calls, Rural Agents, ADF’s and UME. Civil Protection, Firefighters and Police are includes in the training model developed by the Institute for Public Safety of Catalonia which at the same time does research in both security and safety matters. Research activities are performed by the Area for Research, Knowledge and International Cooperation at the ISPC and an example of these activities are European Research Projects such as COIM-Best (Coordination Improvement by Best Practices) and BESECU (cross-cultural differences of human behaviour in fire disasters and other crisis situations) among others.

Building Capacity in Developing Countries : OER for Food Safety

The Food Safety Knowledge Network (FSKN) was developed through the collaboration of Michigan State University and a professional network of international food industry retailers and manufacturers. The key objective of the FSKN project is to provide technical resources, in a cost effective way, in order to promote food safety in developing countries and for small and less developed companies. FSKN uses a competency based model including a framework, OERs, and assessments. These tools are being used to support face-to-face training, fully online training, and to gauge the learning outcomes of a series of pilot groups which were held in India, Egypt, and China.

Safety in vicinity of industrials plants: risk assessment and land use planning

The aim of this book is to survey on different Land Use Planning and safety approaches in vicinity of industrial plants. As this research is associated with three broad fields of Land Use Planning, safety and security, the set principle is to avoid unnecessary and over detailed information, but including the useful ones to provide a comprehensive resource which can be applicable for several purposes. Besides, the proposed method, which is explained in Chapter 7, can initiate a new field for future of Land Use Planning in vicinity of industrial plants.

Food security, food safety and small farmers

Some of the elements that characterize the globalization of food and agriculture are industrialization and intensification of agriculture and liberalization of agricultural markets, that favours elongation of the food chain and homogenization of food habits (nutrition transition), among other impacts. As a result, the probability of food contamination has increased with the distance and the number of “hands" that may contact the food (critical points); the nutritional quality of food has been reduced because of increased transport and longer periods of time from collection to consumption; and the number of food-related diseases due to changes in eating patterns has increased. In this context, there exist different agencies and regulations intended to ensure food safety at different levels, e.g. at the international level, Codex Alimentarius develops standards and regulations for the marketing of food in a global market. Although governments determine the legal framework, the food industry manages the safety of their products, and thus, develops its own standards for their marketing, such as the Good Agricultural Practices (GAP) programs. The participation of the private sector in the creation of regulatory standards strengthens the free trade of food products, favouring mostly large agribusiness companies. These standards are in most cases unattainable for small producers and food safety regulations are favouring removal of the peasantry and increase concentration and control in the food system by industrial actors. Particularly women, who traditionally have been in charge of the artisanal transformation process, can be more affected by these norms than men. In this project I am analysing the impcact of food safety norms over small farms, based on the case of artisanal production made by women in Spain.

Asymptotic capacity of static multiuser channels with an unknown number of users

We examine a multiple-access communication system in which multiuser detection is performed without knowledge of the number of active interferers. Using a statistical-physics approach, we compute the single-user channel capacity and spectral efficiency in the large-system limit.

Asymptotic robustness in multi-sample analysis of multivariate linear relations

Standard methods for the analysis of linear latent variable models oftenrely on the assumption that the vector of observed variables is normallydistributed. This normality assumption (NA) plays a crucial role inassessingoptimality of estimates, in computing standard errors, and in designinganasymptotic chi-square goodness-of-fit test. The asymptotic validity of NAinferences when the data deviates from normality has been calledasymptoticrobustness. In the present paper we extend previous work on asymptoticrobustnessto a general context of multi-sample analysis of linear latent variablemodels,with a latent component of the model allowed to be fixed across(hypothetical)sample replications, and with the asymptotic covariance matrix of thesamplemoments not necessarily finite. We will show that, under certainconditions,the matrix $\Gamma$ of asymptotic variances of the analyzed samplemomentscan be substituted by a matrix $\Omega$ that is a function only of thecross-product moments of the observed variables. The main advantage of thisis thatinferences based on $\Omega$ are readily available in standard softwareforcovariance structure analysis, and do not require to compute samplefourth-order moments. An illustration with simulated data in the context ofregressionwith errors in variables will be presented.

The algebraic equality of two asymptotic tests for the hypothesis that a normal distribution has a specified correlation matrix

It is proved the algebraic equality between Jennrich's (1970) asymptotic$X^2$ test for equality of correlation matrices, and a Wald test statisticderived from Neudecker and Wesselman's (1990) expression of theasymptoticvariance matrix of the sample correlation matrix.

Asymptotic robust inferences in the analysis of mean and covariance structures

Structural equation models are widely used in economic, socialand behavioral studies to analyze linear interrelationships amongvariables, some of which may be unobservable or subject to measurementerror. Alternative estimation methods that exploit different distributionalassumptions are now available. The present paper deals with issues ofasymptotic statistical inferences, such as the evaluation of standarderrors of estimates and chi--square goodness--of--fit statistics,in the general context of mean and covariance structures. The emphasisis on drawing correct statistical inferences regardless of thedistribution of the data and the method of estimation employed. A(distribution--free) consistent estimate of $\Gamma$, the matrix ofasymptotic variances of the vector of sample second--order moments,will be used to compute robust standard errors and a robust chi--squaregoodness--of--fit squares. Simple modifications of the usual estimateof $\Gamma$ will also permit correct inferences in the case of multi--stage complex samples. We will also discuss the conditions under which,regardless of the distribution of the data, one can rely on the usual(non--robust) inferential statistics. Finally, a multivariate regressionmodel with errors--in--variables will be used to illustrate, by meansof simulated data, various theoretical aspects of the paper.

Transfers, social safety nets and economic growth

The role of social safety nets in the form of redistributional transfersand wage subsidies is analyzed using a simple model of criminal behavior. Itis argued that public welfare programs act as a crime--preventing ordisruption--preventing devices because they tend to increase the opportunitycost of engaging in crime or disruptive activities. It is shown that, in thepresence of a leisure choice, wage subsidies may be better than pure transfers. Using a simple growth model, it is shown that it is not optimal for the governmentto try to fully eliminate crime. The optimal size of the public welfare programis found and it is argued that public welfare should be financed with income(not lump--sum) taxes, despite the fact that income taxes are distortionary.The intuition for this result is that income taxes act as a user fee oncongested public goods and transfers can be thought of as {\it productive}public goods {\it subject to congestion}. Finally, using a cross-section of 75 countries, the partial correlation betweentransfers and growth is shown to be significantly positive.