Cookies
Usamos cookies para melhorar nosso site e a sua experiência. Ao continuar a navegar no site, você aceita a nossa política de cookies. Ver mais
Aceitar Rejeitar
  • Menu
Sobre
Download foto HD

Sobre

Alberto A. Pinto é professor Catedrático do Departamento de Matemática, Faculdade de Ciências, Universidade do Porto (Portugal). É investigador no Laboratório de Inteligência Artificial e Apoio à Decisão (LIAAD) do INESC TEC.

Foi o fundador e é actualmente o co-editor-em-chefe, juntamente com Michel Benaim da Université de Neuchatel, Suiça, do Journal of Dynamics and Games, publicado pelo American Institute of Mathematical Sciences (AIMS). Foi presidente do Centro Internacional de Matemática (CIM) de 2011 a 2016. Desde 2016 preside à Assembleia Geral do CIM.

Alberto Pinto iniciou a sua carreira científica sob a orientação de David Rand (U Warwick, UK).  Na sua tese de mestrado (1989) estudou os trabalhos de Feigenbaum e Sullivan em funções scaling. Continuando os seus trabalhos sob a orientação de David Rand, estudo na sua tese de doutoramento (1991) características de universalidade de outras classes de aplicações que formam a fronteira entre ordem e caos.

Durante esse período, Alberto Pinto conheceu vários investigadores de topo na área de Sistemas Dinâmicos, nomeadamente Dennis Sullivan (Stony Brook, NY, EUA) e Mauricio Peixoto (IMPA, Brasil), e isso teve um grande impacto na sua carreira. Como resultado, ele e seus colaboradores fizeram várias contribuições importantes para o estudo da estrutura em escala fina de sistemas dinâmicos, tendo esses trabalhos sido publicados em destacados jornais científicos internacionais e no livro Fine Structures of Hyperbolic Diffeomorphisms  em co-autoria com Flávio Ferreira e David Rand, publicado na prestigiada série Springer Monographs in Mathematics, da Springer Verlag.

Enquanto realizava um pós-doutoramento sob a supervisão de Dennis Sullivan no Graduate Center da City University of New York (CUNY), conheceu Edson de Faria e, através de Mauricio Peixoto, entrou em contato com Welington de Melo. Com de Melo provou a rigidez de aplicações unimodais suaves na fronteira entre caos e ordem, estendendo o trabalho de C. T McMullen (UHarvard), laureado em 1998 com a Medalha Fields. Conjuntamente com Edson de Faria e Welington de Melo, Alberto Pinto provou uma conjectura de Feigenbaum e Coullet-Tresser que caracteriza a duplicação do período entre o caos e a ordem para aplicações unimodais. Este resultado surge no artigo Global Hyperbolicity of Renormalization for Smooth Unimodal Mappings publicado na revista Annals of Mathematics (2006) e teve como base resultados anteriores de Sandy Davie, Dennis Sullivan, Curtis McMullen e Mikhail Lyubich.

Desde então, Alberto Pinto alargou os seus interesse de investigação a áreas mais aplicadas da Matemática, tendo feito contribuições em vastas e variadas incluindo ótica, teoria dos jogos e economia matemática, finanças, imunologia, epidemiologia e clima e energia. Nessas áreas aplicadas, ele publicou amplamente ultrapassando os cem artigos científicos.

Alberto pinto editou dois volumes, com Mauricio Peixoto e David Rand, Dynamics and Games I and II (2011). Estes dois volumes iniciaram a nova série Springer Proceedings in Mathematics. Com David Zilberman (U Berkeley) editou os  volumes Modeling, Dynamics, Optimization and Bioeconomics I and II (2015, 2017) também na série Springer Proceedings in Mathematics & Statistics. Ainda na mesma série editou conjuntamente com Lluís Alsedà, Jim Cushing e Saber Elaydi, o livro Difference Equations, Discrete Dynamical Systems and Applications.

Enquanto presidente do CIM,  editou conjuntamente com Jean-Pierre Bourguignon (European Research Council-ERC), Rolf Jeltsch (ETH-Zurich) e Marcelo Viana (IMPA), os livros Dynamics, Games and Science e Mathematics of Planet Earth que iniciaram a CIM Series in Mathematical Sciences, publicado pela Springer Verlag.  Na mesma série, editou com J.F. Oliveira e J.P. Almeida o livro Operational Research. Na área da Economia Matemática, editou com Elvio Accinelli Gamba, Athanasios N. Yannacopoulos e Carlos Hervés-Beloso, o livro Trends in Mathematical Economics (2017), também publicado pela Springer Verlag.

Alberto Pinto desempenhou ainda funções como membro da Direção do projeto Internacional Pobabilistic Methods in Non-Hyperbolic Dynamics (PRODYN), financiado pela European Science Foundation (1999-2001). Desempenhou ainda funções como Coordenador Executivo (2009-2010) do Conselho Científico de Ciências Exatas e Engenharia da Fundação para Ciência e Tecnologia.

Tópicos
de interesse
Detalhes

Detalhes

  • Nome

    Alberto Pinto
  • Cluster

    Informática
  • Cargo

    Investigador Coordenador
  • Desde

    01 maio 2011
003
Publicações

2020

Evolutionary dynamics for the generalized Baliga–Maskin public good model

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

Publicação
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

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

Publicação
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

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

Publicação
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

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

Publicação
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

Autores
Osorio, A; Pinto, A;

Publicação
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

Teses
supervisionadas

2019

R&D investments and Dynamics on costs in Cournot competition

Autor
Atefeh Afsar

Instituição
UP-FCUP

2018

Applications of game theory and dynamics to social and biological sciences

Autor
Luís Filipe da Silva Martins

Instituição
UP-FCUP

2018

Applications to dynamical systems to immunology and to random exchange economies

Autor
Aliyu Yusuf Ahmad

Instituição
UP-FCUP

2018

R&D Dynamics with uncertainty in the production cost

Autor
Joana Becker Paulo

Instituição
UP-FCUP

2018

R&D investments and Dynamics on costs in Cournot competition

Autor
Atefeh Afsar

Instituição
UP-FCUP