Research

@preprint{carrascovargas2025parametrizedcomplexityrelationsmultidimensional,
  title = {Parametrized complexity of relations between multidimensional subshifts},
  author = {Carrasco-Vargas, Nicanor and de Menibus, Benjamin Hellouin and Pallen, Rémi},
  year = {2025},
}

@preprint{carrascovargas2025topologicalslowentropysequence,
  title = {Topological slow entropy, sequence entropy, and generalized $[T,T^{-1}]$ systems},
  author = {Carrasco-Vargas, Nicanor},
  year = {2025},
}

@preprint{barbieri2025automorphismgroupstronglyirreducible,
  title = {The automorphism group of a strongly irreducible subshift on a group},
  author = {Barbieri, Sebastián and Carrasco-Vargas, Nicanor and Rivera-Burgos, Paola},
  year = {2025},
  url = {https://arxiv.org/abs/2501.14463},
}

@misc{carrascovargas2024complexityeulerianpathproblem,
  title = {On the complexity of the Eulerian path problem for infinite graphs},
  author = {Carrasco-Vargas, Nicanor and Rose, Valentino Delle and Rojas, Cristóbal},
  year = {2024},
}

@preprint{barbieri2024medvedev,
  title = {Medvedev degrees of subshifts on groups},
  author = {Barbieri, Sebastián and Carrasco-Vargas, Nicanor},
  year = {2024},
}

@article{carrascovargas2023geometric,
  title = {Translation-like actions by $\mathbb{Z}$, the subgroup membership problem, and Medvedev degrees of effective subshifts},
  author = {Carrasco-Vargas, Nicanor},
  journal = {Groups, Geometry, and Dynamics},
  year = {2024},
  pages = {online first},
  doi = {DOI 10.4171/GGD/817},
  note = {Note: there is a small gap in the proof of Lemma 3.2 in the journal version, which is corrected in the arXiv version.}
}

@article{BARBIERI_CARRASCO-VARGAS_ROJAS_2024,
  title = {Effective dynamical systems beyond dimension zero and factors of SFTs},
  author = {Barbieri, Sebastián and Carrasco-Vargas, Nicanor and Rojas, Cristóbal},
  journal = {Ergodic Theory and Dynamical Systems},
  year = {2025},
  doi = {10.1017/etds.2024.79},
  pages = {1329–1369},
  volume = {45},
  number = {5},
}

@article{carrascovargas2024rice,
  title = {On a Rice theorem for dynamical properties of SFTs on groups},
  author = {Carrasco-Vargas, Nicanor},
  journal = {Archiv der Mathematik},
  doi = {https://doi.org/10.1007/s00013-025-02125-x},
  year = {2025},
  volume = {124},
  issue = {6},
  number = {591-603},
}

@misc{carrascovargas2023characterization,
  title = {Infinite Eulerian paths are computable on graphs with vertices of infinite degree},
  author = {Carrasco-Vargas, Nicanor},
  journal = {Computability (to appear)},
  url = {https://arxiv.org/abs/2303.14820}
}

@phdthesis{thesis,
  title = {Subshifts on groups and computable analysis},
  author = {Carrasco-Vargas, Nicanor},
  year = {2024},
  school = {Pontifical Catholic University of Chile},
  type = {PhD Thesis},
  doi = {https://doi.org/10.7764/tesisUC/MAT/88339},
}