Juliana Xavier 

Juliana Xavier

Natural born topolgist.

Professor at IMERL-FING-UdelaR, Montevideo, URUGUAY.

I got my Ph.D. from Université Sorbonne Paris Nord in 2011 under the supervision of Patrice Le Calvez.
Here's my PhD thesis.

I got my Math degree from Facultad de Ciencias-UdelaR in 2006 under the supervision of Martín Sambarino.
Here's my degree monograph.

This page is under construction.

Published papers

  1. On some planar Baumslag-Solitar actions. Juan Alonso, Nancy Guelman, Cristobal Rivas, Juliana Xavier. Groups Geom. Dyn. (2024), published online first. DOI 10.4171/GGD/828 Journal arXiv

  2. Quotients of torus endomorphisms have parabolic orbifolds. Sofía Llavayol and Juliana Xavier. Conformal Geometry and Dynamics. 28 (2024), 88-96 DOI: https://doi.org/10.1090/ecgd/393 Journal arXiv

  3. The growth rate inequality for Thurston maps with non hyperbolic orbifolds. Jorge Iglesias, Aldo Portela, Álvaro Rovella, Juliana Xavier. Discrete and Continuous Dynamical Systems. doi: 10.3934/dcds.2024009 Journal arXiv

  4. Branched coverings of the sphere having a completely invariant continuum with infinitely many Wada Lakes. Jorge Iglesias, Aldo Portela, Álvaro Rovella, Juliana Xavier. Topology and its Applications Volume 339, Part B (2023). Journal arXiv

  5. Linearization of topologically Anosov homeomorphisms of non compact surfaces of genus zero and finite type. Gonzalo Cousillas, Jorge Groisman, Juliana Xavier. Topol. Methods Nonlinear Anal. 58, No. 1, 323-333 (2021). Journal arXiv

  6. Sphere branched coverings and the growth rate inequality. Jorge Iglesias, Aldo Portela, Álvaro Rovella, Juliana Xavier. Nonlinearity 33, No. 9, 4613-4626 (2020). Journal arXiv

  7. Topologically Anosov plane homeomorphisms. G. Cousillas, J. Groisman, J. Xavier. Topol. Methods Nonlinear Anal. (2019) T. 54, nr 1, s. 371–382. Journal arXiv

  8. On the growth rate inequality for periodic points in the two sphere. G. Honorato, J. Iglesias, A.Portela, Á. Rovella, F. Valenzuela, J. Xavier. Journal of Difference Equations and Applications, 25:2, 219-232, (2019). Journal arXiv

  9. Dynamics of annulus maps III: periodic points and completeness. Jorge Iglesias, Aldo Portela, Álvaro Rovella, Juliana Xavier. Nonlinearity (2016), 29(9). Journal arXiv

  10. Dynamics of annulus maps II: Periodic points for coverings.Jorge Iglesias, Aldo Portela, Álvaro Rovella, Juliana Xavier. Fundamenta Mathematicae 235(2016), 257-276. Journal arXiv

  11. Dynamics of covering maps of the annulus I: semiconjugacies.Jorge Iglesias, Aldo Portela, Álvaro Rovella, Juliana Xavier. Math. Z. (2016) 284: 209. Journal arXiv

  12. Actions of solvable Baumslag-Solitar groups on surfaces with (pseudo)-Anosov elements.J. Alonso, N.Guelman, J.Xavier. Discrete and Continuous Dynamical Systems - Series A. (2015), 35 (5), 1817 - 1827. Journal arXiv

  13. Attracting sets on surfaces. Jorge Iglesias, Aldo Portela, Álvaro Rovella, Juliana Xavier. Proceedings of the American Mathematical Society. (2015), 143 (2), 765-779. Journal arXiv

  14. A classification of minimal sets for surface homeomorphisms. Alejandro Passeggi and Juliana Xavier. Math. Z. (2014) 278: 1153. Journal arXiv

  15. Cycles of links and fixed points for orientation preserving homeomorphisms of the open unit disk. Juliana Xavier. Fundamenta Math. 219 (2012), 59-96 Journal arXiv

  16. Handel's fixed point theorem revisited. Juliana Xavier. Ergodic Theory and Dynamical Systems (2012), 33(5), 1584-1610. Journal arXiv

Research seminar

Seminario de sistemas dinámicos (since 1986)

Teaching

Dinámica topológica en dimensión 2
YouTube Channel
Librillo Virtual de Ecuaciones Diferenciales
Librillo Virtual de Funciones de Variable Compleja
Librillo de Clases de Cálculo Diferencial

Contact

e-mail   jxavier@fing.edu.uy

Tel: (+598) 2714 2714 int. 19116 (Office)
2023.