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Victor Andrés Vargas Cubides. Completed the Doctor in Matemática in 2015 by Universidade de São Paulo Instituto de Matemática e Estatística. Published 11 articles in journals. Participates and/or participated as PhD Student Fellow in 1 project(s), Post-doc in 1 project(s), Post-doc Fellow in 3 project(s) and Researcher in 1 project(s).
Identification

Personal identification

Full name
Victor Andrés Vargas Cubides

Citation names

  • Vargas, Victor

Author identifiers

Ciência ID
EB10-11F2-1291
ORCID iD
0000-0002-2785-6576
AuthenticusID
R-00K-81Z
Google Scholar ID
Co5jwPcAAAAJ&hl
Researcher Id
AAO-7257-2021
Scopus Author Id
57206858910

Email addresses

  • vavargascu@gmail.com (Professional)

Websites

Education
Degree Classification
2012 - 2015
Concluded
 Matemática (Doctor)
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
"On equilibrium states existence and zero temperature limit for topologically mixing Markov shifts" (THESIS/DISSERTATION)
Affiliation

Science

Category
Host institution 		Employer
2021 - 2024 Contracted Researcher (Research) Universidade do Porto Faculdade de Ciências, Portugal
Universidade do Porto Faculdade de Ciências, Portugal
2020 - 2021 Postdoc (Research) Departamento Administrativo de Ciencia Tecnología e Innovación, Colombia
Universidad Nacional de Colombia Medellín Sede Escuela de Matemáticas, Colombia
2020 - 2020 Postdoc (Research) Instituto Nacional de Ciência e Tecnologia de Matemática, Brazil
Universidade Federal do Rio Grande do Sul, Brazil
2018 - 2020 Postdoc (Research) Universidade Federal do Rio Grande do Sul, Brazil
Universidade Federal do Rio Grande do Sul, Brazil

Teaching in Higher Education

Category
Host institution 		Employer
2022 - 2024 Lecturer (University Teacher) Universidade do Porto, Portugal
Universidade do Porto, Portugal
Projects

Grant

Designation Funders
2020/11 - 2021/10 MINCIENCIAS: SNCTeI - Thermodynamic Formalism and Ergodic Optimization
80740-628-2020
Post-doc
Universidad Nacional de Colombia, Colombia
 Departamento Administrativo de Ciencia Tecnología e Innovación
Concluded
2020/06 - 2020/11 MCTI/CNPq/CAPES/FAPs: INCT - 465591/2014-0 - INCT de Matemática
88887.508056/2020-00
Post-doc Fellow
Universidade Federal do Rio Grande do Sul, Brazil
 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Governo Federal do Brasil Ministério da Ciência e Tecnologia

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Conselho Nacional das Fundações Estaduais de Amparo à Pesquisa
Concluded
2019/02 - 2020/05 CAPES: PNPD/CAPES - UNIVERSIDADE FEDERAL DO RIO GRANDE DO SUL
88882.316162/2019-01
Post-doc Fellow
Universidade Federal do Rio Grande do Sul, Brazil
 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Concluded
2018/10 - 2019/01 CAPES: PNPD/CAPES - UNIVERSIDADE FEDERAL DO RIO GRANDE DO SUL
1810606
Post-doc Fellow
Universidade Federal do Rio Grande do Sul, Brazil
 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Cancelled
2012/03 - 2015/10 CAPES: PROEX - UNIVERSIDADE DE SÃO PAULO
1094726
PhD Student Fellow
Universidade de São Paulo, Brazil
 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Concluded

Contract

Designation Funders
2021/11 - 2024/12 Centre of Mathematics of the University of Porto
UIDP/00144/2020
10.54499/UIDP/00144/2020
Researcher
Universidade do Porto Centro de Matemática, Portugal

Universidade do Porto Faculdade de Ciências, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Conference poster
  1. Vargas, Victor. "Equilibrium states and zero temperature limit for summable Markov potentials on topologically mixing shifts". Paper presented in Geometric methods for PDEs and dynamical systems, 2015.
  2. Vargas, Victor. "Zero temperature limits for topologically mixing Markov shifts with enumerable alphabet". Paper presented in Oficina de Tendências Dinâmicas 2015, 2015.
Journal article
  1. Beltrán, Elmer; Littin, Jorge; Maldonado, César; Vargas, Victor. "Existence of the zero temperature limit of equilibrium states on topologically transitive countable Markov shifts". Ergodic Theory and Dynamical Systems 43 10 (2023): 3231-3254. https://www.doi.org/10.1017/etds.2022.65.
    Published • 10.1017/etds.2022.65
  2. Victor Vargas. "Uniqueness and statistical properties of the Gibbs state on general one-dimensional lattices with markovian structure". Stochastics and Dynamics 23 5 (2023): 2350038. https://doi.org/10.1142/S0219493723500387.
    Published • 10.1142/S0219493723500387
  3. Huertas, Adriana; Vargas, Victor; Vizcaíno, Diego. "Teaching of Topology and its Applications in Learning: A Bibliometric Meta-Analysis of the Last Years from the Scopus Database". Mathematics Teaching-Research Journal 15 1 (2023): 193-216. https://eric.ed.gov/?id=EJ1391464.
    Published
  4. Lopes, Artur O.; Vargas, Victor. "Entropy, pressure, ground states and calibrated sub-actions for linear dynamics". Bulletin of the Brazilian Mathematical Society, New Series 53 3 (2022): 1073-1106. https://doi.org/10.1007/s00574-022-00296-7.
    Published • 10.1007/s00574-022-00296-7
  5. Vargas, Victor. "On involution kernels and large deviations principles on beta-shifts". Discrete & Continuous Dynamical Systems 42 6 (2022): 2699-2718. http://dx.doi.org/10.3934/dcds.2021208.
    Published • 10.3934/dcds.2021208
  6. Souza, Rafael Rigão; Vargas, Victor. "Existence of Gibbs states and maximizing measures on a general one-dimensional lattice system with markovian structure". Qualitative Theory of Dynamical Systems 21 1 (2022): 5. https://doi.org/10.1007/s12346-021-00537-y.
    Published • 10.1007/s12346-021-00537-y
  7. Lopes, Artur O.; Messaoudi, Ali; Stadlbauer, Manuel; Vargas, Victor. "Invariant probabilities for discrete time linear dynamics via thermodynamic formalism *". Nonlinearity 34 12 (2021): 8359-8391. http://dx.doi.org/10.1088/1361-6544/ac3382.
    Published • 10.1088/1361-6544/ac3382
  8. Lopes, Artur O.; Vargas, Victor. "The Ruelle operator for symmetric ß-shifts". Publicacions Matemàtiques 64 2 (2020): 661-680. https://doi.org/10.5565/publmat6422012.
    Open access • Published • 10.5565/PUBLMAT6422012
  9. Lopes, Artur O.; Vargas, Victor. "Gibbs states and Gibbsian specifications on the space RN". Dynamical Systems 35 2 (2020): 216-241. http://dx.doi.org/10.1080/14689367.2019.1663789.
    Published • 10.1080/14689367.2019.1663789
  10. Freire, Ricardo; Vargas, Victor. "Equilibrium states and zero temperature limit on topologically transitive countable Markov shifts". Transactions of the American Mathematical Society 370 12 (2018): 8451-8465. http://dx.doi.org/10.1090/tran/7291.
    Published • 10.1090/tran/7291
Preprint
  1. Lopes, Artur O.; Vargas, Victor. "Directional derivatives and the central limit theorem on compact general one-dimensional lattices". 2024. https://doi.org/10.48550/arXiv.2410.22190.
    10.48550/arXiv.2410.22190
  2. Lopes, Artur O.; Marcos Sebastiani; Victor Vargas. "Noncommutative integration, quantum mechanics, Tannaka's theorem for compact groupoids and examples". 2023. https://doi.org/10.48550/arXiv.2303.11752.
    10.48550/arXiv.2303.11752
  3. Lopes, A. O.; Oliveira, E. R.; Pedra, W. de S.; Vargas, V.. "Grand-canonical thermodynamic formalism via IFS: volume, temperature, gas pressure and grand-canonical topological pressure". 2023. https://arxiv.org/abs/2305.01590.
    10.48550/arXiv.2305.01590
  4. Victor Vargas. "A Large deviations principle at zero temperature for stationary Markov equilibrium states on countable Markov shifts". 2023. https://doi.org/10.48550/arXiv.2311.04619.
    10.48550/arXiv.2311.04619
Thesis / Dissertation
  1. Cubides, Victor Andres Vargas. "On equilibrium states existence and zero temperature limit for topologically mixing Markov shifts". PhD, Universidade de São Paulo Instituto de Matemática e Estatística, 2015. http://dx.doi.org/10.11606/t.45.2017.tde-25112016-214355.
    10.11606/t.45.2017.tde-25112016-214355
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2023/02/10 Selection at zero temperature for equilibrium states on topologically transitive countable Markov shifts Dynamical Systems Seminar CMUP
University of Porto (Porto, Portugal)
2022/08/18 Ground states and calibrated sub-actions for linear dynamics Brazil-Portugal joint meeting in mathematics
Federal University of Bahia (Salvador, Brazil)
2021/11/26 Thermodynamic formalism for discrete time linear dynamical systems CMUP new members meeting Part 2
University of Porto (Porto, Portugal)
2021/09/16 Invariant probabilities for discrete linear dynamical systems via thermodynamic formalism III Caribbean Mathematical Meeting (Online)
Technological University of Bolívar (Cartagena, Colombia)
2021/04/15 Thermodynamic formalism on generalized XY models with markovian structure Tartaglia Seminar (Online)
Autonomous University of San Luis Potosí (San Luis Potosí, Mexico)
2021/03/08 Existence of Gibbs States on Generalized XY Models with Markovian structure Colloquium of the School of Mathematics UN (Online)
National University of Colombia (Medellín, Colombia)
2020/03/06 The Ruelle operator for symmetric beta-shifts Department of Mathematics Seminar
Nueva Granada Militar University (Cajicá, Colombia)
2019/10/21 The Ruelle operator for symmetric beta-shifts III Workshop of Dynamical Systems
Federal University of Rio Grande do Sul (Porto Alegre, Brazil)
2019/05/17 Existence of Gibbs states and Gibbsian specifications on R^N Dynamical Systems Seminar IME-UFRGS
Federal University of Rio Grande do Sul (Porto Alegre, Brazil)
2018/12/03 Thermodynamic formalism and zero temperature limits in a noncompact case II Workshop of Dynamical Systems
Federal University of Rio Grande do Sul (Porto Alegre, Brazil)
2017/06/08 Equilibrium States Existence and Zero Temperature Limits on Topologically Transitive Markov Subshifts XXI Colombian Congress of Mathematics
National University of Colombia (Bogotá D.C., Colombia)
2015/11/24 Equilibrium States Existence and Zero Temperature Limits on Topologically Transitive Markov Subshifts Dynamical Systems Seminar IME-USP
University of Sao Paulo (Sao Paulo, Brazil)
2015/06/10 Equilibrium States and Zero Temperature Limit for Summable Markov Potentials on Topologically Mixing Shifts (Poster) Geometric methods for PDEs and dynamical systems
Aix Marseille Université (Porquerolles, France)
2015/02/11 Zero Temperature Limits for Topologically Mixing Markov Shifts With Enumerable Alphabet (Poster) Workshop in Dynamical Trends 2015
University of Campinas (Campinas, Brazil)

Ad Hoc journal article review

Journal title (ISSN) Publisher
2024 - Current AIMS Mathematics (2473-6988) American Institute of Mathematical Sciences
2024 - Current Dynamical Systems (1468-9367) Taylor & Francis
2024 - Current Journal of Statistical Physics (1572-9613) Springer Nature
2024 - Current Physica Scripta (1402-4896) IOP Publishing
2022 - Current Qualitative Theory of Dynamical Systems (1575-5460) Springer Nature Switzerland AG
2021 - Current Nonlinearity (0951-7715) London Mathematical Society and IOP Publishing

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2023/09 - 2024/01 Qualitative theory of ordinary differential equations (Theoretical and practical) Matemática (Mestrado integrado) Universidade do Porto, Portugal
2022/09 - 2023/01 Real Analysis I (Theoretical and practical) Física (Licenciatura) Universidade do Porto, Portugal
2022/03 - 2022/06 Linear Algebra and Analytic Geometry (Theoretical and practical) Matemática (Licenciatura) Universidade do Porto, Portugal

Scientific expedition

Activity description Institution / Organization
2024/09 - 2024/09 Short term research visit to the Institute of Mathematics and Statistics at the Federal University of Rio Grande do Sul Universidade Federal do Rio Grande do Sul, Brazil
2024/09 - 2024/09 Short term research visit to the Institute of Mathematics and Statistics at the University of São Paulo Universidade de São Paulo, Brazil