Telmo Peixe

Research Fellow

CEMAPRE - Centro de Matemática Aplicada à Previsão e Decisão Económica
REM - Research in Economics and Mathematics
ISEG - Lisbon School of Economics & Management
Universidade de Lisboa

Rua do Quelhas 6, 1200-781 Lisboa, Portugal
Email: telmop at
Phone: (+351) 213 925 831
Office: 505, Quelhas 6 Building

I am also a Visiting Assistant Professor at Department of Mathematics, ISEG-Lisbon School of Economics & Management, Universidade de Lisboa, and member of the LxDS-Lisbon Dynamical Systems Group.

Research interests:

- Dynamical Systems,
- Hamiltonian dynamics,
- Evolutionary Game Theory/Dynamic games,
- Lotka-Volterra systems and replicator equation,
- Applications to economics and biology.

Research IDs:

- ORCID: 0000-0002-0344-5959
- ResearcherID: F-8725-2018
- Scopus Author ID: 55308107200
- Google Scholar
- ResearchGate

Research project:

Member of the research project
New Trens in Lyapunov Exponents
FCT PTDC/MAT-PUR/29126/2017.


Flows on Polytopes - Mathematica code
(with P. Duarte)

We provide here the Mathematica code we had developed to explore the dynamics of polymatrix replicators for lower dimensional polytopes.


BSc in Psychology, Universidade de Lisboa, 1999.
BSc in Mathematics, Universidade de Lisboa, 2008.
MSc in Mathematics (supervisor: Pedro Miguel Duarte), Universidade de Lisboa, 2010.
PhD in Mathematics (supervisor: Pedro Miguel Duarte), Universidade de Lisboa, 2015.


  1. Recorrências, Progressões Aritméticas e Teoria Ergódica: Teoremas de van der Warden e de Green-Tao
    (with J. Buescu)
    Revista Matemática Universitária, 48/49, 39-51, 2010.
  2. Rank of stably dissipative graphs
    (with P. Duarte)
    Linear Algebra and Its Applications, 437, 2537-2586, 2012.
  3. Conservative and Dissipative Polymatrix Replicators
    (with H. N. Alishah, P. Duarte)
    Journal of Dynamics and Games, 2, 157-185, 2015.
  4. Asymptotic Poincaré Maps along the edges of Polytopes
    (with H. N. Alishah, P. Duarte)
    Nonlinearity, 33, 469-510, 2020.
  5. Permanence in Polymatrix Replicators
    Submitted, 2019.
  6. Periodic attractor in the discrete time best-response dynamics of the Rock-Paper-Scissors game
    (with J. P. Gaivão)
    Submitted, 2020.

Monographs and other works:

  1. Sistemas Lotka-Volterra dissipativos (in portuguese)
    MSc thesis, University of Lisboa, 2010.
  2. Lotka-Volterra systems and Polymatrix Replicators
    PhD thesis, University of Lisboa, 2015.
  3. Observar Golfinhos... Com Trigonometria
    (with P. Duarte, T. Caissotti)
    Gazeta de Matemática, 169, 16-22, 2013.
  4. Evaluating the effect of measurement error in pairs of 3D bearings in point transect sampling estimates of density
    (with T. A. Marques, P. Duarte, D. Moretti, L. Thomas)
    CREEM Technical Report, no.1, University of St Andrews, 2018.
  5. 2017/2018 Lecture notes of Matemática I (in portuguese) for the undergraduates in Economics, in Management, and in Finance.

Communications in Conferences:


Events organization: