- Profesor Agregado en régimen de dedicación total del DMEL
- Doctor en Matemática, PEDECIBA (2015).
- Área de investigación: Sistemas Dinámicos.
- Contacto: aartigue@litoralnorte.udelar.edu.uy
Fue Asistente del IMERL, Facultad de Ingeniería, de 2004 a 2009 y
Ayudante del CMAT, Facultad de Ciencias, de 1998 a 2003.
Investigación. Su interés en matemática se centra en los Sistemas Dinámicos. Se puede considerar a los sistemas dinámicos como una extensión del estudio cualitativo de las Ecuaciones Diferenciales. Es una rama de la matemática que tiene fuerte interacción con la topología, la geometría y el análisis pero también con aplicaciones a las ciencias naturales.
Publicaciones (preliminares aquí):
2024
A. Artigue, B. Carvalho, W. Cordeiro, J. Vieitez, Continuum-wise hyperbolicity, Journal of Differential Equations, Vol 378, p. 512-538, (2024).
2023
A. Artigue, Meihua Dong, Lipschitz Structural Stability of Group Actions with the Shadowing Property, J. Differential Equations, Vol. 366 (2023).
2022
A. Artigue, On continuum-wise minimality, Fundamenta Mathematicae, Vol. 258, (2022).
A. Artigue, W. Cordeiro, M.J. Pacifico, N-expansive flows, Topology and its Applications, Vol. 305, (2022).
A. Artigue, B. Carvalho, W. Cordeiro, J. Vieitez, Countably and entropy expansive homeomorphisms with the shadowing property, Proceedings of the AMS, Vol. 150, (2022).
2020
A. Artigue, M. Haim, Expansivity on Commutative Rings, Topology and its Applications, Vol. 274, (2020).
A. Artigue, Local stable sets of almost periodic points, Topology and its Applications, Vol. 272, (2020).
M. Achigar, A. Artigue, J. Vieitez. New cw-expansive homeomorphisms of surfaces, Annales Mathématiques Toulouse, Tome XXIX, (2020), p. 221-246.
A. Artigue, B. Carvalho, W. Cordeiro, J. Vieitez, Beyond topological hyperbolicity: the L-shadowing property, Journal of Differential Equations, Vol. 268, 2020, pp. 3057-3080.
2019
A. Artigue, G. Cousillas, Generic homeomorphisms with shadowing of one-dimensional continua, Special Issue «Shadowing in Dynamical Systems» Axioms, Ed. K. Sakai, Vol. 8, 2019.
A. Artigue, Generic dynamics on compact metric spaces, Topology and its Applications, Vol. 255, 2019, pp. 1-14.
A. Artigue, An expansive homeomorphism of a 3-manifold with a local stable set that is not locally connected, Fundamenta Mathematicae, Vol. 245, 2019, pp. 167-174.
A. Artigue, Billiards and toy gravitons, Journal of Statistical Physics, Vol. 175, 2019, pp 213-232.
2018
M. Achigar, A. Artigue, I. Monteverde, Observing expansive maps, Journal of the London Mathematical Society, Vol. 98, 2018, pp. 501-516.
A. Artigue, Rescaled expansivity and separating flows, Discrete and Continuous Dynamical Systems, Vol. 38, pp. 4433-4447, 2018.
A. Artigue, Dendritations of surfaces, Ergodic Theory and Dynamical Systems, Vol. 38, pp 2860-2912, 2018.
A. Artigue, Self-similar hyperbolicity, Ergodic Theory and Dynamical Systems, Vol. 38, pp. 2422-2446, 2018.
2017
A. Artigue, D. Carrasco, I. Monteverde, Polynomial entropy and expansivity, Acta Mathematica Hungarica, Volume 152, Issue 1, pp 140–149, 2017.
A. Artigue, M.J. Pacifico, J.L. Vieitez, N-expansive homeomorphisms on surfaces, Communications in Contemporary Mathematics, Vol. 19, 2017.
A. Artigue, Pseudo-Anosov maps and continuum theory, Proceedings of the American Mathematical Society, Vol. 145, 2017, pp. 3047-3056.
A. Artigue, Singular cw-expansive flows, Discrete and Continuous Dynamical Systems, Vol. 37, 2017, pp. 2945-2956.
A. Artigue, Separating homeomorphisms, Advances in Dynamical Systems and Applications, Vol. 12, 2017, pp. 17-24.
A. Artigue, Isolated sets, catenary Lyapunov functions and expansive systems, Topological Methods in Nonlinear Analysis, Vol. 49, 2017, pp. 21-50.
2016
M. Achigar, A. Artigue, I. Monteverde, Expansive homeomorphisms on non-Hausdorff spaces, Topology and its Applications, 2016.
A. Artigue, Kinematic expansive flows, Ergodic Theory and Dynamical Systems, Vol. 36, 2016, pp. 390–421.
A. Artigue, Robustly N-expansive surface diffeomorphisms, Discrete and Continuous Dynamical Systems, Vol. 36, 2016, pp. 2367–2376.
A. Artigue, Anomalous cw-expansive surface homeomorphisms, Discrete and Continuous Dynamical Systems, Vol. 36, 2016, pp. 3511–3518.
A. Artigue, Discrete and continuous topological dynamics: Fields of cross sections and expansive flows, Discrete and Continuous Dynamical Systems, Vol. 36, 2016, pp. 5911-5927.
2015
A. Artigue, Finite sets with fake observable cardinality, Bulletin of the Korean Mathematical Society, Vol. 52, 2015, pp. 323–333.
A. Artigue, Minimal expansive systems and spiral points, Topology and its Applications, Vol. 194, 2015, pp. 166–170.
A. Artigue, Lipschitz perturbations of expansive systems, Discrete and Continuous Dynamical Systems, Vol. 35, 2015, pp. 1829–1841.
A. Artigue, Expansive flows of the three-sphere, Differential Geometry and its Applications, Vol. 41, 2015, pp. 91–101.
A. Artigue, D. Carrasco, A note on measure-expansive diffeomorphisms, Journal of Mathematical Analisys and Applications, Vol. 428, 2015, pp. 713–716.
2014
A. Artigue, Low-Dimensional Homoclinic Bifurcations of Repellers, Int. J. of Bifurcation and Chaos, Vol. 24, 2014
A. Artigue, Positive expansive flows, Topology and its Applications, Vol. 165, pp. 121–132, 2014.
2013
A. Artigue, Expansive flows of surfaces, Discrete and Continuous Dynamical Systems, Vol. 33, 2013, pp. 505–525.
A. Artigue, Hyper-expansive homeomorphisms, Publicaciones Matemáticas del Uruguay, Vol. 14, 2013, pp. 72–77.
2009
- A. Artigue, J. Brum, R. Potrie, Local product structure for expansive homeomorphisms, Topology and its Applications, Vol. 156, 2009, pp. 674–685.
Prepublicaciones:
E. Akin, A. Artigue, L. Ferrari, Asymptotic Pairs for Interval Exchange Transformations.
A. Arbieto, A. Artigue, E. Rego, Rescaled-Expansive Flows: Unstable Sets and Topological Entropy, prepublicación 2021.
Materiales didácticos y de divulgación (disponibles aquí):
- Orbitas periódicas en billares triangulares, Miscelánea Matemática, Vol. 59, 2014, pp. 19–40.
- Métrica hiperbólica para homeomorfismos Expansivos, 2014.
- Homeomorfismos Expansivos, 2014.
- Hidrodinámica desde un punto de vista matemático, 2012, Editorial Académica Española.
- Análisis en una variable real, 2012.
- Qué es un flujo expansivo, 2014.
Extensión. Taller de problemas. Actualmente el taller está orientado a niños de primaria y estudiantes de secundaria que participan de las Olimpiadas de Matemática. Información sobre el taller.
Pasantías del programa Acortando distancias de PEDECIBA sobre la matemática en olimpiadas, febrero 2022: