???global.info.a_carregar???
Paulo César Rodrigues Pinto Varandas. Concluiu o(a) Licenciatura em Licenciatura em Matemática Pura em 2002 pelo(a) Universidade do Porto Faculdade de Ciências e fez o Doutoramento em Matemática em 2007/11/09 pelo Instituto Nacional de Matemática Pura e Aplicada. É Investigador Principal no CMUP e Professor Associado na Universidade Federal da Bahia (afastado). Publicou 62 artigos científicos em revistas especializadas, orientou 9 alunos de mestrado e 5 alunos de doutoramento. Recebeu 8 prémio(s) e/ou homenagens. Atua nas áreas de Matemática com ênfase em Sistemas Dinâmicos e Teoria Ergódica.
Identificação

Identificação pessoal

Nome completo
Paulo César Rodrigues Pinto Varandas

Nomes de citação

  • Varandas, Paulo
  • Varandas, P.

Identificadores de autor

Ciência ID
0C1A-DC54-F959
ORCID iD
0000-0002-0902-8718

Domínios de atuação

  • Ciências Exatas - Matemática

Idiomas

Idioma Conversação Leitura Escrita Compreensão Peer-review
Português Utilizador proficiente (C1) Utilizador proficiente (C1) Utilizador proficiente (C1) Utilizador proficiente (C1)
Inglês Utilizador independente (B1) Utilizador proficiente (C1) Utilizador independente (B1) Utilizador independente (B1)
Espanhol; Castelhano Utilizador independente (B1) Utilizador proficiente (C1) Utilizador elementar (A1) Utilizador independente (B1)
Formação
Grau Classificação
2020/09/09 - 2020/09/10
Concluído
 Titulo de Agregado na área de Matemática (Título de Agregado)
Especialização em Sistemas Dinâmicos e Teoria Ergódica
Universidade do Porto, Portugal
"Contributions to the thermodynamic formalism of non-uniformly hyperbolic dynamics " (TESE/DISSERTAÇÃO)
Produções

Publicações

Artigo em revista
  1. Artur O. Lopes; Silvia R. C. Lopes; Paulo Varandas. "Bayes Posterior Convergence for Loss Functions via Almost Additive Thermodynamic Formalism". Journal of Statistical Physics (2022): https://doi.org/10.1007/s10955-022-02885-8.
    10.1007/s10955-022-02885-8
  2. Carvalho, M.; Rodrigues, F.B.; Varandas, P.. "A variational principle for the metric mean dimension of free semigroup actions". Ergodic Theory and Dynamical Systems 42 1 (2022): 65-85. http://www.scopus.com/inward/record.url?eid=2-s2.0-85121281106&partnerID=MN8TOARS.
    10.1017/etds.2020.143
  3. Carvalho, M.; Rodrigues, F.B.; Varandas, P.. "A variational principle for the metric mean dimension of free semigroup actions". Ergodic Theory and Dynamical Systems 42 1 (2022): 65-85. http://www.scopus.com/inward/record.url?eid=2-s2.0-85121281106&partnerID=MN8TOARS.
    10.1017/etds.2020.143
  4. Maria Carvalho; Paulo Varandas. "Genericity of historic behavior for maps and flows". Nonlinearity 34 10 (2021): 7030-7044. https://doi.org/10.1088/1361-6544/ac1f77.
    10.1088/1361-6544/ac1f77
  5. Mário Bessa; Maria Joana Torres; Paulo Varandas. "Topological aspects of incompressible flows". Journal of Differential Equations 293 (2021): 392-417. https://doi.org/10.1016/j.jde.2021.05.030.
    10.1016/j.jde.2021.05.030
  6. Manuel Stadlbauer; Shintaro Suzuki; Paulo Varandas. "Thermodynamic Formalism for Random Non-uniformly Expanding Maps". Communications in Mathematical Physics 385 1 (2021): 369-427. https://doi.org/10.1007/s00220-021-04088-w.
    10.1007/s00220-021-04088-w
  7. Diego Daltro; Paulo Varandas. "Exponential Decay of Correlations for Gibbs Measures and Semiflows over $$C^{1+\alpha }$$ Piecewise Expanding Maps". Annales Henri Poincaré 22 7 (2021): 2137-2159. https://doi.org/10.1007/s00023-020-00991-5.
    10.1007/s00023-020-00991-5
  8. Thiago Bomfim; Maria Joana Torres; Paulo Varandas. "Gluing orbit property and partial hyperbolicity". Journal of Differential Equations (2021): https://doi.org/10.1016/j.jde.2020.09.040.
    10.1016/j.jde.2020.09.040
  9. Bonomo, W.; Lima, H.; Varandas, P.. "The rotation sets of most volume preserving homeomorphisms on Td are stable, convex and rational polyhedrons". Israel Journal of Mathematics 243 1 (2021): 81-102. http://www.scopus.com/inward/record.url?eid=2-s2.0-85106450688&partnerID=MN8TOARS.
    10.1007/s11856-021-2148-7
  10. Lima, H.; Varandas, P.. "On the rotation sets of generic homeomorphisms on the torus Td". Ergodic Theory and Dynamical Systems 41 10 (2021): 2983-3022. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094114458&partnerID=MN8TOARS.
    10.1017/etds.2020.92
  11. Jung, P.; Melbourne, I.; Pène, F.; Varandas, P.; Zhang, H.-K.. "Necessary and sufficient condition for M 2-convergence to a Lévy process for billiards with cusps at flat points". Stochastics and Dynamics 21 5 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85094126370&partnerID=MN8TOARS.
    10.1142/S0219493721500246
  12. Bonomo, W.; Lima, H.; Varandas, P.. "The rotation sets of most volume preserving homeomorphisms on Td are stable, convex and rational polyhedrons". Israel Journal of Mathematics 243 1 (2021): 81-102. http://www.scopus.com/inward/record.url?eid=2-s2.0-85106450688&partnerID=MN8TOARS.
    10.1007/s11856-021-2148-7
  13. Lima, H.; Varandas, P.. "On the rotation sets of generic homeomorphisms on the torus Td". Ergodic Theory and Dynamical Systems 41 10 (2021): 2983-3022. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094114458&partnerID=MN8TOARS.
    10.1017/etds.2020.92
  14. Jung, P.; Melbourne, I.; Pène, F.; Varandas, P.; Zhang, H.-K.. "Necessary and sufficient condition for M 2-convergence to a Lévy process for billiards with cusps at flat points". Stochastics and Dynamics 21 5 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85094126370&partnerID=MN8TOARS.
    10.1142/S0219493721500246
  15. MARIA CARVALHO; FAGNER B. RODRIGUES; PAULO VARANDAS. "Generic homeomorphisms have full metric mean dimension". Ergodic Theory and Dynamical Systems (2020): https://doi.org/10.1017/etds.2020.130.
    10.1017/etds.2020.130
  16. Marcus Morro; Roberto Sant’Anna; Paulo Varandas. "Ergodic Optimization for Hyperbolic Flows and Lorenz Attractors". Annales Henri Poincaré 21 10 (2020): 3253-3283. https://doi.org/10.1007/s00023-020-00948-8.
    10.1007/s00023-020-00948-8
  17. Bonomo, W.; Varandas, P.. "Continuous flows generate few homeomorphisms". Proceedings of the Edinburgh Mathematical Society 63 4 (2020): 971-983. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094858512&partnerID=MN8TOARS.
    10.1017/S0013091520000280
  18. Varandas, P.. "On the cohomology class of fiber-bunched cocycles on semi simple Lie groups". Revista Matematica Iberoamericana 36 4 (2020): 1113-1132. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093864961&partnerID=MN8TOARS.
    10.4171/RMI/1160
  19. Bonomo, W.; Varandas, P.. "Continuous flows generate few homeomorphisms". Proceedings of the Edinburgh Mathematical Society 63 4 (2020): 971-983. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094858512&partnerID=MN8TOARS.
    10.1017/S0013091520000280
  20. Varandas, P.. "On the cohomology class of fiber-bunched cocycles on semi simple Lie groups". Revista Matematica Iberoamericana 36 4 (2020): 1113-1132. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093864961&partnerID=MN8TOARS.
    10.4171/RMI/1160
  21. Backes, L.; Poletti, M.; Varandas, P.; Lima, Y.U.R.I.. "Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems". Ergodic Theory and Dynamical Systems (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85065259841&partnerID=MN8TOARS.
    10.1017/etds.2019.22
  22. Castro, A.; Rodrigues, F.; Varandas, P.. "Leafwise shadowing property for partially hyperbolic diffeomorphisms". Dynamical Systems (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85073925287&partnerID=MN8TOARS.
    10.1080/14689367.2019.1667958
  23. Melbourne, I.; Varandas, P.. "Convergence to a Lévy Process in the Skorohod M1 and M2 Topologies for Nonuniformly Hyperbolic Systems, Including Billiards with Cusps". Communications in Mathematical Physics (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85068333374&partnerID=MN8TOARS.
    10.1007/s00220-019-03501-9
  24. Bonomo, W.; Varandas, P.. "C1-generic sectional Axiom A flows have only trivial symmetries". Portugaliae Mathematica 76 1 (2019): 29-48. http://www.scopus.com/inward/record.url?eid=2-s2.0-85074532033&partnerID=MN8TOARS.
    10.4171/PM/2025
  25. Carvalho, M.; Rodrigues, F.B.; Varandas, P.. "A variational principle for free semigroup actions". Advances in Mathematics 334 (2018): 450-487. http://www.scopus.com/inward/record.url?eid=2-s2.0-85049840493&partnerID=MN8TOARS.
    10.1016/j.aim.2018.06.010
  26. Bessa, M.; Torres, M.J.; Varandas, P.. "On the periodic orbits, shadowing and strong transitivity of continuous flows". Nonlinear Analysis, Theory, Methods and Applications 175 (2018): 191-209. http://www.scopus.com/inward/record.url?eid=2-s2.0-85048816283&partnerID=MN8TOARS.
    10.1016/j.na.2018.06.002
  27. Cruz, A.; Varandas, P.A.U.L.O.. "SRB measures for partially hyperbolic attractors of local diffeomorphisms". Ergodic Theory and Dynamical Systems (2018): http://www.scopus.com/inward/record.url?eid=2-s2.0-85055152639&partnerID=MN8TOARS.
    10.1017/etds.2018.115
  28. Rocha, J.; Varandas, P.. "The centralizer of Cr -generic diffeomorphisms at hyperbolic basic sets is trivial". Proceedings of the American Mathematical Society 146 1 (2018): 247-260. http://www.scopus.com/inward/record.url?eid=2-s2.0-85034227659&partnerID=MN8TOARS.
    10.1090/proc/13712
  29. Araújo, V.; Butterley, O.; Varandas, P.. "Erratum to “open sets of axiom a flows with exponentially mixing attractors”". Proceedings of the American Mathematical Society 146 11 (2018): 5013-5014. http://www.scopus.com/inward/record.url?eid=2-s2.0-85055051517&partnerID=MN8TOARS.
    10.1090/proc/14163
  30. Varandas, P.. "A version of Kac's lemma on first return times for suspension flows". Stochastics and Dynamics 16 2 (2016): http://www.scopus.com/inward/record.url?eid=2-s2.0-84960481006&partnerID=MN8TOARS.
    10.1142/S0219493716600029
  31. Melbourne, I.; Varandas, P.. "A note on statistical properties for nonuniformly hyperbolic systems with slow contraction and expansion". Stochastics and Dynamics 16 3 (2016): http://www.scopus.com/inward/record.url?eid=2-s2.0-84960473116&partnerID=MN8TOARS.
    10.1142/S0219493716600121
Capítulo de livro
  1. Troubetzkoy, S.; Varandas, P.. "The Role of Continuity and Expansiveness on Leo and Periodic Specification Properties". 83-96. 2021.
    10.1007/978-3-030-74863-0_2
  2. Troubetzkoy, S.; Varandas, P.. "The Role of Continuity and Expansiveness on Leo and Periodic Specification Properties". 83-96. 2021.
    10.1007/978-3-030-74863-0_2

Outros

Outra produção
  1. Genericity of historic behavior for maps and flows. 2021. Carvalho, M.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85110965898&partnerID=MN8TOARS.
  2. Lyapunov non-typical behavior for linear cocycles through the lens of semigroup actions. 2021. Ferreira, G.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85111228500&partnerID=MN8TOARS.
  3. Exponential decay of correlations for Gibbs measures on attractors of axiom a flows. 2021. Daltro, D.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85106403220&partnerID=MN8TOARS.
  4. Sensitivity and historic behavior for continuous maps on Baire metric spaces. 2021. Carvalho, M.; Coelho, V.; Salgado, L.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85119859516&partnerID=MN8TOARS.
  5. On Multifractal Analysis and Large Deviations of Singular-Hyperbolic Attractors. 2021. Shi, Y.; Tian, X.; Varandas, P.; Wang, X.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85119645358&partnerID=MN8TOARS.
  6. Genericity of historic behavior for maps and flows. 2021. Carvalho, M.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85110965898&partnerID=MN8TOARS.
  7. Lyapunov non-typical behavior for linear cocycles through the lens of semigroup actions. 2021. Ferreira, G.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85111228500&partnerID=MN8TOARS.
  8. Exponential decay of correlations for Gibbs measures on attractors of axiom a flows. 2021. Daltro, D.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85106403220&partnerID=MN8TOARS.
  9. Sensitivity and historic behavior for continuous maps on Baire metric spaces. 2021. Carvalho, M.; Coelho, V.; Salgado, L.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85119859516&partnerID=MN8TOARS.
  10. On Multifractal Analysis and Large Deviations of Singular-Hyperbolic Attractors. 2021. Shi, Y.; Tian, X.; Varandas, P.; Wang, X.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85119645358&partnerID=MN8TOARS.
  11. Bayes posterior convergence for loss functions via almost additive Thermodynamic Formalism. 2020. Lopes, A.O.; Lopes, S.R.C.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85100131859&partnerID=MN8TOARS.
  12. A convex analysis approach to entropy functions, variational principles and equilibrium states. 2020. Bis, A.; Carvalho, M.; Mendes, M.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85098375958&partnerID=MN8TOARS.
  13. Thermodynamic formalism for random non-uniformly expanding maps. 2020. Stadlbauer, M.; Suzuki, S.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85104599426&partnerID=MN8TOARS.
  14. THE ROLE OF CONTINUITY AND EXPANSIVENESS ON LEO AND PERIODIC SPECIFICATION PROPERTIES. 2020. Troubetzkoy, S.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094082969&partnerID=MN8TOARS.
  15. QUENCHED AND ANNEALED EQUILIBRIUM STATES FOR RANDOM RUELLE EXPANDING MAPS AND APPLICATIONS. 2020. Stadlbauer, M.; Varandas, P.; Zhang, X.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85095024064&partnerID=MN8TOARS.
  16. Bayes posterior convergence for loss functions via almost additive Thermodynamic Formalism. 2020. Lopes, A.O.; Lopes, S.R.C.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85100131859&partnerID=MN8TOARS.
  17. A convex analysis approach to entropy functions, variational principles and equilibrium states. 2020. Bis, A.; Carvalho, M.; Mendes, M.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85098375958&partnerID=MN8TOARS.
  18. Thermodynamic formalism for random non-uniformly expanding maps. 2020. Stadlbauer, M.; Suzuki, S.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85104599426&partnerID=MN8TOARS.
  19. THE ROLE OF CONTINUITY AND EXPANSIVENESS ON LEO AND PERIODIC SPECIFICATION PROPERTIES. 2020. Troubetzkoy, S.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094082969&partnerID=MN8TOARS.
  20. QUENCHED AND ANNEALED EQUILIBRIUM STATES FOR RANDOM RUELLE EXPANDING MAPS AND APPLICATIONS. 2020. Stadlbauer, M.; Varandas, P.; Zhang, X.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85095024064&partnerID=MN8TOARS.
  21. Ergodic optimization for hyperbolic flows and lorenz attractors. 2019. Morro, M.; Sant’Anna, R.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85095167899&partnerID=MN8TOARS.
  22. A criterion for the triviality of the centralizer for vector fields and applications. 2019. BONOMO, W.; VARANDAS, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85095255645&partnerID=MN8TOARS.
  23. Generic homeomorphisms have full metric mean dimension. 2019. Carvalho, M.; Rodrigues, F.B.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094800577&partnerID=MN8TOARS.
  24. Ergodic optimization for hyperbolic flows and lorenz attractors. 2019. Morro, M.; Sant’Anna, R.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85095167899&partnerID=MN8TOARS.
  25. A criterion for the triviality of the centralizer for vector fields and applications. 2019. BONOMO, W.; VARANDAS, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85095255645&partnerID=MN8TOARS.
  26. Necessary and sufficient condition for M2-convergence to a Lévy process for billiards with cusps at flat points. 2019. Jung, P.; Melbourne, I.; Pène, F.; Varandas, P.; Zhang, H.-K.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093733634&partnerID=MN8TOARS.
  27. On the rotation sets of generic homeomorphisms on the torus Td. 2019. Lima, H.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093734423&partnerID=MN8TOARS.
  28. Volume lemmas for partially hyperbolic endomorphisms and applications. 2018. Cruz, A.; Ferreira, G.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094232367&partnerID=MN8TOARS.
  29. SRB measures for partially hyperbolic attractors of local diffeomorphisms. 2018. Cruz, A.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85092852195&partnerID=MN8TOARS.
  30. Convergence to a lévy process in the skorohod M_1 and M_2 topologies for nonuniformly hyperbolic systems, including billiards with cusps. 2018. Melbourne, I.; Varandas, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85098347214&partnerID=MN8TOARS.