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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

2020

Evolutionary dynamics for the generalized Baliga–Maskin public good model

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

Publication
Chaos, Solitons and Fractals

Abstract
The problem of the consumption or provision of common and public goods is a well known and well studied problem in economic sciences. The nature of the problem is the existence of non-excludable externalities which gives rise to incentives to free-riding behaviour. There are several economical frameworks trying to deal with the problem such as coalition theory or mechanism design and implementation theory to ensure a Pareto efficient consumption or provision of such good. Baliga and Maskin considered an environmental game where several communities face a problem of pollution reduction. They show that all communities except one of them have incentives to act as a free-rider, i.e. only one community is willing to face the costs that air cleaning implies, namely the one with greatest preference for the good. In this work we introduce an adaptive evolutionary dynamics for the generalization of the Baliga–Maskin model to quasi-linear utility functions. We show that the Baliga–Maskin equilibrium is the only asymptotically stable dynamical equilibrium, all others being unstable. This result reasserts the problem of free-riding and externalities for the case of a common good in a dynamically/evolutionary setting, and reiterates the relevance of mechanism design and coalition formation in the context of dynamical models. © 2019

2020

The Effect of a Linear Tuning between the Antigenic Stimulations of CD4(+) T Cells and CD4(+) Tregs

Authors
Yusuf, AA; Figueiredo, IP; Afsar, A; Burroughs, NJ; Pinto, AA; Oliveira, BMPM;

Publication
MATHEMATICS

Abstract
We study the equilibria of an Ordinary Differencial Equation (ODE) system where CD4+ effector or helper T cells and Regulatory T cells (Tregs) are present. T cells trigger an immune response in the presence of their specific antigen. Regulatory T cells (Tregs) play a role in limiting auto-immune diseases due to their immune-suppressive ability. Here, we present explicit exact formulas that give the relationship between the concentration of T cells, the concentration of Tregs, and the antigenic stimulation of T cells, when the system is at equilibria, stable or unstable. We found a parameter region of bistability, limited by two thresholds of antigenic stimulation of T cells (hysteresis). Moreover, there are values of the slope parameter of the tuning for which an isola-center bifurcation appears, and, for some other values, there is a transcritical bifurcation. We also present time evolutions of the ODE system.

2019

A fit of CD4+ T cell immune response to an infection by lymphocytic choriomeningitis virus

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

Publication
Mathematical Biosciences and Engineering

Abstract
We fit an immune response model to data reporting the CD4+ T cell numbers from the 28 days following the infection of mice with lymphocytic choriomeningitis virus LCMV.We used an ODE model that was previously used to describe qualitatively the behaviour of CD4+ T cells, regulatory T cells (Tregs) and interleukine-2 (IL-2) density. The model considered two clonotypes of T cells in order to fit simultaneously the two time series for the gp61 and NP309 epitopes. We observed the proliferation of T cells and, to a lower extent, Tregs during the immune activation phase following infection and subsequently, during the contraction phase, a smooth transition from faster to slower death rates. The six parameters that were optimized were: the beginning and ending times of the immune response, the growth rate of T cells, their capacity, and the two related with the homeostatic numbers of T cells that respond to each epitope. We showed that the ODE model was able to be calibrated thus providing a quantitative description of the data. © 2019 the Author(s).

2019

The maximum curvature reinfection threshold

Authors
Martins, J; Pinto, A; Stollenwerk, N;

Publication
ECOLOGICAL COMPLEXITY

Abstract
In this work, we introduce the concept of maximum curvature to separate the low from high reinfection levels. For each temporary immunity transition rate, the threshold value is the infection rate where the positive curvature of the endemic stationary state attains its maximum value. Hence, the maximum curvature reinfection threshold can be interpreted as the moment when the graph of the stationary state of infected attains the maximum change in its direction. When the temporary immunity transition rate tends to zero, the limiting point of the maximum curvature reinfection threshold coincides with the Gomes' reinfection threshold and the curvature blows up to infinity.

2019

Information, uncertainty and the manipulability of artificial intelligence autonomous vehicles systems

Authors
Osorio, A; Pinto, A;

Publication
International Journal of Human Computer Studies

Abstract
In an avoidable harmful situation, autonomous vehicles systems are expected to choose the course of action that causes the less damage to everybody. However, this behavioral protocol implies some predictability. In this context, we show that if the autonomous vehicle decision process is perfectly known then malicious, opportunistic, terrorist, criminal and non-civic individuals may have incentives to manipulate it. Consequently, some levels of uncertainty are necessary for the system to be manipulation proof. Uncertainty removes the misbehavior incentives because it increases the risk and likelihood of unsuccessful manipulation. However, uncertainty may also decrease the quality of the decision process with negative impact in terms of efficiency and welfare for the society. We also discuss other possible solutions to this problem. © 2019 Elsevier Ltd

Supervised
thesis

2019

R&D investments and Dynamics on costs in Cournot competition

Author
Atefeh Afsar

Institution
UP-FCUP

2018

Applications to dynamical systems to immunology and to random exchange economies

Author
Aliyu Yusuf Ahmad

Institution
UP-FCUP

2018

R&D Dynamics with uncertainty in the production cost

Author
Joana Becker Paulo

Institution
UP-FCUP

2018

Applications of game theory and dynamics to social and biological sciences

Author
Luís Filipe da Silva Martins

Institution
UP-FCUP

2018

R&D investments and Dynamics on costs in Cournot competition

Author
Atefeh Afsar

Institution
UP-FCUP