Algoritmi | User | Victor Andrés Vargas Cubides
Victor Andrés Vargas Cubides
Victor Andrés Vargas Cubides
Personal Email
Orcid
0000-0002-2785-6576Researcher ID
FCT Public Key
Ciência ID
EB10-11F2-1291Google Scholar
About Me 
I am a mathematician mainly interested in studying properties of transfer operators defined on proper dynamical contexts and their applications in problems related with ergodic optimization and thermodynamic formalism. My research deals with the areas of Ergodic Theory, Mathematical Physics, and Probability.
Publications (17)
Directional derivatives and the central limit theorem on compact general one-dimensional lattices
Dynamical Systems
2026 | journal-article
Grand-canonical thermodynamic formalism via IFS: volume, temperature, gas pressure and grand-canonical topological pressure
Sao Paulo Journal of Mathematical Sciences
2025 | journal-article
A Large deviations principle at zero temperature for stationary Markov equilibrium states on countable Markov shifts
Arxiv
2023 | other
Existence of the zero-temperature limit of equilibrium states on topologically transitive countable Markov shifts
Ergodic Theory and Dynamical Systems
2023 | journal-article
Noncommutative integration, quantum mechanics, Tannaka’s theorem for compact groupoids and examples
Arxiv
2023 | other
Teaching of Topology and its Applications in Learning: A Bibliometric Meta-Analysis of the Last Years from the Scopus Database
Mathematics Teaching Research Journal
2023 | journal-article
Uniqueness and statistical properties of the Gibbs state on general one-dimensional lattice systems with Markovian structure
Stochastics and Dynamics
2023 | journal-article
Entropy, Pressure, Ground States and Calibrated Sub-actions for Linear Dynamics
Bulletin of the Brazilian Mathematical Society
2022 | journal-article
Existence of Gibbs States and Maximizing Measures on a General One-Dimensional Lattice System with Markovian Structure
Qualitative Theory of Dynamical Systems
2022 | journal-article
ON INVOLUTION KERNELS AND LARGE DEVIATIONS PRINCIPLES ON β-SHIFTS
Discrete and Continuous Dynamical Systems Series A
2022 | journal-article
Invariant probabilities for discrete time linear dynamics via thermodynamic formalism
Nonlinearity
2021 | journal-article
Gibbs states and Gibbsian specifications on the space ℝℕ
Dynamical Systems
2020 | journal-article
The ruelle operator for symmetric β-shifts
Publicacions Matematiques
2020 | journal-article
Equilibrium states and zero temperature limit on topologically transitive countable Markov shifts
Transactions of the American Mathematical Society
2018 | journal-article
Equilibrium states and zero temperature limit for summable Markov potentials on topologically mixing shifts
Geometric methods for PDEs and dynamical systems
2015 | conference-poster
Zero temperature limits for topologically mixing Markov shifts with enumerable alphabet
Oficina de Tendências Dinâmicas 2015
2015 | conference-poster
On equilibrium states existence and zero temperature limit for topologically mixing Markov shifts
Universidade de São Paulo Instituto de Matemática e Estatística
2015 | dissertation-thesis
Directional derivatives and the central limit theorem on compact general one-dimensional lattices
Dynamical Systems
2026 | journal-article
Grand-canonical thermodynamic formalism via IFS: volume, temperature, gas pressure and grand-canonical topological pressure
Sao Paulo Journal of Mathematical Sciences
2025 | journal-article
A Large deviations principle at zero temperature for stationary Markov equilibrium states on countable Markov shifts
Arxiv
2023 | other
Existence of the zero-temperature limit of equilibrium states on topologically transitive countable Markov shifts
Ergodic Theory and Dynamical Systems
2023 | journal-article
Noncommutative integration, quantum mechanics, Tannaka’s theorem for compact groupoids and examples
Arxiv
2023 | other
Teaching of Topology and its Applications in Learning: A Bibliometric Meta-Analysis of the Last Years from the Scopus Database
Mathematics Teaching Research Journal
2023 | journal-article
Uniqueness and statistical properties of the Gibbs state on general one-dimensional lattice systems with Markovian structure
Stochastics and Dynamics
2023 | journal-article
Entropy, Pressure, Ground States and Calibrated Sub-actions for Linear Dynamics
Bulletin of the Brazilian Mathematical Society
2022 | journal-article
Existence of Gibbs States and Maximizing Measures on a General One-Dimensional Lattice System with Markovian Structure
Qualitative Theory of Dynamical Systems
2022 | journal-article
ON INVOLUTION KERNELS AND LARGE DEVIATIONS PRINCIPLES ON β-SHIFTS
Discrete and Continuous Dynamical Systems Series A
2022 | journal-article
Invariant probabilities for discrete time linear dynamics via thermodynamic formalism
Nonlinearity
2021 | journal-article
Gibbs states and Gibbsian specifications on the space ℝℕ
Dynamical Systems
2020 | journal-article
The ruelle operator for symmetric β-shifts
Publicacions Matematiques
2020 | journal-article
Equilibrium states and zero temperature limit on topologically transitive countable Markov shifts
Transactions of the American Mathematical Society
2018 | journal-article
Equilibrium states and zero temperature limit for summable Markov potentials on topologically mixing shifts
Geometric methods for PDEs and dynamical systems
2015 | conference-poster
Zero temperature limits for topologically mixing Markov shifts with enumerable alphabet
Oficina de Tendências Dinâmicas 2015
2015 | conference-poster
On equilibrium states existence and zero temperature limit for topologically mixing Markov shifts
Universidade de São Paulo Instituto de Matemática e Estatística
2015 | dissertation-thesis
