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About

About

Alberto A. Pinto is a full professor at the Department of Mathematics, Faculty of Sciences, University of Porto (Portugal). He is a researcher at the Laboratory of Artificial Intelligence and Decision Support, Institute for Systems and Computer Engineering LIAAD, INESC TEC. He is the founder and co-editor-in-chief (with michel benaim) of the Journal of Dynamics and Games, published by the American Institute of Mathematical Sciences (AIMS). He was the President of International Center for Mathematics (CIM) from 2011 to 2016. Since 2016 he is President of the General Assembly of CIM.

Alberto A. Pinto worked with David Rand at the University of Warwick, UK, on his master's thesis (1989) that studied the work of Feigenbaum and Sullivan on scaling functions and he went on to a PhD (1991) on the universality features of other classes of maps that form the boundary between order and chaos.

During this time Alberto A. Pinto met a number of the leaders in dynamical systems, notably Dennis Sullivan and Mauricio Peixoto, and this had a great impact on his career. As a result he and his collaborators have made many important contributions to the study of the fine-scale structure of dynamical systems and this has appeared in leading journals and in his book "Fine Structures of Hyperbolic Diffeomorphisms" (2010) coauthored with Flávio Ferreira and David Rand.

While a postdoc with Dennis Sullivan at the Graduate Center of the City University of New York he met Edson de Faria and through Mauricio Peixoto he got in contact with Welington de Melo. With de Melo he proved the rigidity of smooth unimodal maps in the boundary between chaos and order extending the work of MacMullen. Furthermore, de Faria, de Melo and Alberto A. Pinto proved the conjecture raised in 1978 in the work of Feigenbaum and Coullet-Tresser which the characterizes the period-doubling boundary between chaos and order for unimodal maps. This appeared in the research article “Global Hyperbolicity of Renormalization for Smooth Unimodal Mappings” published at the journal Annals of Mathematics (2006) and was based in particular in the previous works of Sandy Davie, Dennis Sullivan, Curtis McMullen and Mikhail Lyubich.

Since then Alberto Pinto has branched out into more applied areas. He has contributed across a remarkably broad area of science including optics, game theory and mathematical economics, finance, immunology, epidemiology, and climate and energy. In these applied areas, he has published widely overpassing more than one hundred scientific articles. He edited two volumes, with Mauricio Peixoto and David Rand, untitled “Dynamics and Games I and II” (2011). These two volumes initiated the new Springer Proceedings in Mathematics series. He edited with David Zilberman the volume untitled “Optimization, Dynamics, Modeling and Bioeconomy I” (2015) that also appeared at Springer Proceedings in Mathematics & Statistics series. While President of CIM, with Jean-Pierre Bourguignon, Rolf Jeltsch and Marcelo Viana, he edited the books "Dynamics, Games and Science" and "Mathematics of Planet Earth" that initiated the "CIM Series in Mathematical Sciences", published by Springer-Verlag. He edited, with J. F. Oliveira and J. P. Almeida, the book "Operational Research", published by Springer-Verlag at the CIM Series in Mathematical Sciences". he edited, with Lluís Alsedà, Jim Cushing and Saber Elaydi, the book "Difference Equations, Discrete Dynamical Systems and Applications", published at the Springer Proceedings in Mathematics & Statistics. He published, with Elvio Accinelli Gamba, Athanasios N. Yannacopoulos and Carlos Hervés-Beloso, the book "Trends in Mathematical Economics", published by Springer-Verlag.

Alberto A. Pinto with Michel Benaim founded the Journal of Dynamics and Games (2014) of the American Institute of Mathematical Sciences (AIMS) and currently they are the editors-in-chief of the journal. He has also increasingly taken on important administrative tasks. He was a member of the steering committee of Prodyn at the European Science Foundation (1999-2001). He was the executive coordinator (2009-2010) of the Scientific Council of Exact Sciences and Engineering at the Fundação para a Ciência e Tecnologia.

Interest
Topics
Details

Details

  • Name

    Alberto Pinto
  • Cluster

    Computer Science
  • Role

    Research Coordinator
  • Since

    01st May 2011
003
Publications

2022

The power of voting and corruption cycles

Authors
Accinelli, E; Martins, F; Pinto, AA; Afsar, A; Oliveira, BMPM;

Publication
JOURNAL OF MATHEMATICAL SOCIOLOGY

Abstract

2022

The basins of attraction in the generalized Baliga-Maskin public good model

Authors
Accinelli, E; Martins, F; Pinto, AA;

Publication
JOURNAL OF EVOLUTIONARY ECONOMICS

Abstract
We study an evolutionary dynamics for the contributions by agents to a common/public good in a generalized version of Baliga and Maskin's environmental protection model. The dynamical equilibria consist of three scenarios: a single agent contributing to preserve the good with its optimal contribution level, and all the other agents being free-riders: a group of agents with the same optimal contribution level contributing to preserve the good, and all the other agents being free-riders; one where no agents contribute. The dynamics of the contributions can be complex but we prove that each trajectory converges to the equilibrium associated to the single agent (or group of agents) with the highest preference for the good that are contributing since the beginning. We note that while the aggregate contribution is below the optimal contribution level of the agent with the smallest preference for the good, then the aggregate contribution is increasing and there is no free-riding. Hence, if the optimal contribution level of the agent with the smallest preference is enough to not exhaust the good too quickly and the optimal contribution level of the agent with the greatest preference is enough to preserve the good, then, in spite of the appearance of free-riding in the contributions, the good might not be exhausted.

2021

Generalised Partial Association in Causal Rules Discovery

Authors
Nogueira, AR; Ferreira, C; Gama, J; Pinto, A;

Publication
PROGRESS IN ARTIFICIAL INTELLIGENCE (EPIA 2021)

Abstract

2021

Firms, technology, training and government fiscal policies: An evolutionary approach

Authors
Accinelli, E; Martins, F; Muniz, H; Oliveira, BMPM; Pinto, AA;

Publication
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Abstract
<p style='text-indent:20px;'>In this paper we propose and analyze a game theoretical model regarding the dynamical interaction between government fiscal policy choices toward innovation and training (I&amp;T), firm's innovation, and worker's levels of training and education. We discuss four economic scenarios corresponding to strict pure Nash equilibria: the government and I&amp;T poverty trap, the I&amp;T poverty trap, the I&amp;T high premium niche, and the I&amp;T ideal growth. The main novelty of this model is to consider the government as one of the three interacting players in the game that also allow us to analyse the I&amp;T mixed economic scenarios with a unique strictly mixed Nash equilibrium and with I&amp;T evolutionary dynamical cycles.</p>

2021

Immune Response Model Fitting to CD4$$^+$$ T Cell Data in Lymphocytic Choriomeningitis Virus LCMV infection

Authors
Afsar, A; Martins, F; Oliveira, BMPM; Pinto, AA;

Publication
Springer Proceedings in Mathematics and Statistics

Abstract

Supervised
thesis

2021

Digital Polar Transmitter for Emerging Wireless Communications

Author
Rui Filipe de Pinho Gomes

Institution
UP-FEUP

2021

Business Intelligence in Payroll

Author
Isabel Cristina Ribeiro Castro

Institution
UP-FCUP

2021

Applications of game theory and dynamical systems on biology and economy

Author
Atefeh Afsar

Institution
UP-FCUP

2020

Applications of game theory and dynamical system on biology and economy

Author
Atefeh Afsar

Institution
UP-FCUP

2019

R&D investments and Dynamics on costs in Cournot competition

Author
Atefeh Afsar

Institution
UP-FCUP