Publications

♦️Interdisciplinary publications.

1.   Standardizing Excellence: Metric Assemblages in Mathematics Research in Chile. Fernando Valenzuela, María Isabel Cortez, Mariel Sáez, Andrea Vera-Gajardo. Submitted. ♦️

2. Paulina Cecchi-Bernales, María Isabel Cortez, Jaime Gómez.  Invariant measures of Toeplitz subshifts on non-amenable groups. Accepted for publication in Ergodic Theory & Dynamical Systems.

3. Valenzuela, F., Cortez, M. I., & Sáez, M. (2023). Haciendo género con pizarras: aportes de la antropología simétrica al estudio del género en la investigación matemática. Estudios Públicos, (01), 1-20. https://doi.org/10.38178/07183089/1623211008 ♦️

4. María Isabel Cortez, Olga Lukina. Settled elements in profinite groups. Advances in Mathematics, Volume 404, Part B, 2022.

5. Cortez, M.I., Vera-Gajardo, A. (2022). Now That We’re Together: Biography of the Chilean Collective of Women Mathematicians and Overview of Latin American Organizations for Women in Mathematics. In: Beery, J.L., Greenwald, S.J., Kessel, C. (eds) Fifty Years of Women in Mathematics. Association for Women in Mathematics Series, vol 28. Springer, Cham. ♦️

6. Brechas de Género en Carreras STEM. En: Centro de Políticas Públicas UC (ed.), Propuestas para Chile. Concurso de Políticas Públicas 2021. Santiago: Pontificia Universidad Católica de Chile, (2021) 115–149.  Andrea Canales, María Isabel Cortez, Mariel Sáez, Andrea Vera-Gajardo. ♦️

7. Cortez, María Isabel Algebraic invariants for group actions on the Cantor set. 2019–20 MATRIX annals, 679–684, MATRIX Book Ser., 4, Springer, Cham, [2021].

8. Realization of big centralizers of minimal aperiodic actions on the Cantor set.  Joint work with Samuel Petite. Discrete Contin. Dyn. Syst. (2020) 40 (5), 2891–2901.

9. Invariant measures for actions of congruent monotileable amenable groups. Joint work with Paulina Cecchi.  Groups Geom.Dyn. 13 (2019), no.3, 821–839

10. Femmes et mathématiques au Chili. Synergies Chili n° 12 - 2016 p. 59-71. Joint work with Jeanne Hersant. ♦️

11. Orbit Equivalence Rigidity of Equicontinuous Systems. Joint work with Kostya Medynets. J. London Math. Soc. (2016) 94 (2), 545--556.

12. Some examples of repetitive, non-rectifiable Delone sets Joint work with A. Navas . Geometry & Topology 20-4 (2016) 1909--1939.

13. Eigenvalues and strong orbit equivalence. Joint work with Fabien Durand and Samuel Petite. Ergodic Theory Dynam. Systems. (2016), 36, 2419--2440. 

14. Linearly repetitive Delone sets. [Book chapter] Joint work with José Aliste-Prieto, Daniel Coronel, Fabien Durand and Samuel Petite. Mathematics of aperiodic order, 195–222, Progr. Math., 309, Birkhäuser/Springer, Basel, 2015

15. Invariant measures and orbit equivalence for generalized Toeplitz subshifts. Joint work with Samuel Petite.  Groups Geom. Dyn. 8 (2014) 1007-1045.

16. Topological orbit equivalence classes and numeration scales of logistic maps. Joint work with Juan Rivera-Letelier. Ergodic Theory Dynam. Systems 32 (2012), no. 5, 1501--1526. 

17. Invariant measures for non-primitive tiling substitutions. Joint work with Boris Solomyak. J. Anal. Math. 115 (2011), 293-342

18. Linearly repetitive Delone systems have a finite number of non periodic Delone system factors. Joint work with Fabien Durand and Samuel Petite.Proc. Amer. Math. Soc. 138 (2010), 1033-1046.

19. Choquet simplices as spaces of invariant probability measures on post-critical sets. Joint work with Juan Rivera-Letelier. Ann. Inst. H. Poincaré Anal. Non Linéaire. 27 (2010), 95-115.

20. Invariant measures of minimal post-critical sets of logistic maps. Joint work with Juan Rivera-Letelier. Israel J. Math. 176 (2010), 157–193

21. G-odometers and their almost 1-1 extensions. Joint work with Samuel Petite. J. London Math. Soc. (2) 78 (2008) 1--20. 

22. Self-similar tiling systems, topological factors and stretching factors. Joint work with Fabien Durand. Disc. and Comp. Geometry (2008) 40: 622--640. 

23. Rotation topological factors of minimal Z^d-actions of the Cantor set. Joint work with Jean-Marc Gambaudo and Maass, Alejandro. Trans. Amer. Math. Soc. 359 (2007), no. 5, 2305--2315. 

24. Realization of a Choquet simplex as the set of invariant probability measures of a tiling system. Ergodic Theory Dynam. Systems 26 (2006), no. 5, 1417--1441.

25. Z^d Toeplitz arrays. Discrete Contin. Dyn. Syst. 15 (2006), no. 3, 859--881. 

26. Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems. Joint work with Fabien Durand, Bernard Host and Alejandro Maass. J. London Math. Soc. (2) 67 (2003), no. 3, 790--804.