Seminario de Piergiulio Tempesta

25 enero, 2019
12:00 pma1:00 pm

Speaker: Piergiulio Tempesta (Universidad Complutense de Madrid and Instituto de Ciencias Matemáticas, ICMAT)

Title: “Group entropies: A new family of information measures for complex systems”

Date: viernes 25 de enero, 12:00 horas.

Localication: Sala de seminarios del CIO (Edificio Torretamarit).

Abstract. We will show that an intrinsic group-­theoretical structure is at the heart of the notion of generalized entropy. This structure emerges when imposing the requirement of composability of an entropy with respect to the union of two statistically independent systems. A new formulation of the celebrated Shannon-­Khinchin set of axioms is proposed, obtained by replacing the additivity axiom with that of composability. The theory of formal groups offers a natural language for our group-­theoretical approach to generalized entropies. In this settings, the known entropies can be encoded into a general trace-form class, the universal-group entropy (so called due to its relation with the Lazard universal formal group of algebraic topology). We shall also prove that Renyi’s entropy is the first example of a new family of non trace-form entropies, of potential interest in the theory of complex systems, called the Z-entropies. Each of them is composable and, in particular, generalizes simultaneously the entropies of Boltzmann and Renyi (obtained under suitable limits). In particular, we will show that complex systems can be classified into universality classes, each characterized by a specific phase space growth rate, and described by a suitable group entropy adapted to it.

Seminario de Jon Mikel Zabala

10 enero, 2019
12:00 pma1:00 pm

Speaker: Jon Mikel Zabala (Universidad de Deusto).

Title: “Innovation capacity and performance in Europe: which are the implications of the EIS for innovation policy?”

Date: jueves 10 de enero, 12:00 horas.

Localication: Sala de seminarios del CIO (Edificio Torretamarit).

Abstract. This project will make a step forward in the assessment of innovation performance of innovation systems as a whole, from a holistic perspective. The project aims to discuss different measures of performance to get a more comprehensive view of an innovation system, in order to get a multidimensional view of innovation systems. The ultimate purpose of the project is to provide policy makers with a tool to continuously monitor their (national, regional) innovation systems so as to define more effective and targeted innovation policies. The efficiency approach adopted allows identifying those areas in which the largest sources of inefficiency are produced, and accordingly, resource reallocation/redistribution can be identified, indicating those policy areas in which additional support is provided, thus setting a policy agenda for policy makers’ intervention. The novelty of the project lies in the development of a prototype that will be tested at the national level. When this prototype provides the conclusions policy makers require to better manage their innovation policies, then it will be applied in all European regions. The project will provide the basis not only for identifying the sources of inefficiency in national and regional innovation systems, but also for mutual learning across Europe, as we will be able to identify benchmarks for every territory (country, region) so the policy practices implemented in some others can be translated, adapted and adopted by others. This project is particularly relevant in the current context of reduction in public spending towards innovation and the increasing demands for accountability of public investments. It is also particularly relevant in the context of the EU, due to the Smart Specialization Strategies being implemented in most regions.