Francisco Morillas

Higher education and the development of competencies for innovation in the workplace

Purpose – This paper aims to analyze the production function nexus between higher education practice and the development of innovation‐related competencies by university graduates in Spain. The research hypothesis is the presence of statistically significant relationships between the development of innovational competencies and the modes of teaching and learning used in higher education practice.Design/methodology/approach – The relationships are modeled through a set of stochastic frontier and variance component equations with the development of each competency as the dependent variable. The main explanatory variables capture the prevalence of diverse teaching/learning modes and the behavior of graduates during their studies. Controls for individual and study programs are also included. Data comes from the European graduate survey REFLEX and includes about 5,500 records.Findings – Estimates show evidence of significant marginal effects of the teaching and learning modes and the development of specific co...

Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity

In this article, we study the asymptotic behaviour of solutions of a first-order stochastic lattice dynamical system with an additive noise. We do not assume any Lipschitz condition on the nonlinear term, just a continuity assumption together with growth and dissipative conditions so that uniqueness of the Cauchy problem fails to be true. Using the theory of multi-valued random dynamical systems, we prove the existence of a random compact global attractor.

ATTRACTORS FOR A LATTICE DYNAMICAL SYSTEM GENERATED BY NON-NEWTONIAN FLUIDS MODELING SUSPENSIONS

In this paper we consider a lattice dynamical system generated by a parabolic equation modeling suspension flows. We prove the existence of a global compact connected attractor for this system and the upper semicontinuity of this attractor with respect to finite-dimensional approximations. Also, we obtain a sequence of approximating discrete dynamical systems by the implementation of the implicit Euler method, proving the existence and the upper semicontinuous convergence of their global attractors.

On the connectedness of the attainability set for lattice dynamical systems

We prove the Kneser property (i.e. the connectedness and compactness of the attainability set at any time) for lattice dynamical systems in which we do not know whether the property of uniqueness of the Cauchy problem holds or not. Using this property, we can check that the global attractor of the multivalued semiflow generated by such system is connected.

Stability and numerical analysis of the Hébraud-Lequeux model for suspensions.

We study both analytically and numerically the stability of the solutions of the Hebraud-Lequeux equation. This parabolic equation models the evolution for the probability of finding a stress σ in a mesoscopic block of a concentrated suspension, a non-Newtonian fluid. We prove a new result concerning the stability of the fixed points of the equation, and pose some conjectures about stability, based on numerical evidence.

Assessing implicit hypotheses in life table construction

Abstract Mortality figures are of capital importance for policy-making and public planning, as in forecasting financial provisions in public pension systems. General population life tables are constructed from aggregated statistics, an issue that usually entails adopting some (implicit) assumptions in their construction, such as the hypothesis of closed demographic system or the hypotheses of uniform distributions of death counts (and migration events) by age and calendar year. As microdata have become more abundant and reliable, these hypotheses could be assessed and more assumption-free estimators employed. Using a real database from Spain, we show that the above hypotheses are not appropriate in general and that the more efficient estimators proposed in this paper should be promoted, as differences persist depending on the estimator computed.

Attractors for non-autonomous retarded lattice dynamical systems

Abstract In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative conditions on the nonlinear term,we define a non-autonomous dynamical system and prove the existence of a pullback attractor for such system as well. Both multivalued and single-valued cases are considered.

The Level of Mortality in Insured Populations

In the actuarial field, life tables are used in reserving and pricing processes. They are commonly built from aggregate data and incorporate margins as a prudent measure to ensure the insurance company’s viability. Solvency II requires insurance companies to calculate technical provisions using best-estimate assumptions for future experience (mortality, expenses, lapses, etc) to separate (i) the risk-free component from (ii) adverse deviation of claims. Nowadays, however, the methods used by insurance companies (in most countries, included Spain) do not guarantee that these components can be separated. Many companies build their own tables from general insured population life tables, assuming certain restrictive hypotheses. In this paper, we develop a new cohort-based estimator to build life tables based on individual company experience. We apply it to a real database and find that the proposed methodology improves classical approaches. The described procedure is of application in those countries covered by the Solvency II and IFRS 17 regulatory frameworks.