Papers

1. Local dynamics for fibred holomorphic transformations, Nonlinearity 20 (2007) 2939-2955. (full PDF)

2. On the persistence of invariant curves for Fibered Holomorphic Transformations, Communications in Mathematical Physics, Volume 289, Issue 1, pp. 1-44 (2009). (full PDF)

3. Sur la persistance des courbes invariantes pour les dynamiques holomorphes fibreés lisses, Bull. Soc. math. France. Tome 138, Fascicule 2, 2010, pages 153-180. (full PDF)

4. Fibred quadratic polynomials can admit two attracting invariant curves, Proc. Amer. Math. Soc. 139 (2011), no. 4, 1467–1468. (full PDF)

5. Naishul's theorem for fibered holomorphic maps, Mathematische Zeitschrift, 2012, Volume 271, Numbers 3-4, Pages 867-875. (full PDF)

6. Towards a semilocal study of parabolic invariant curves for fibred holomorphic maps, Ergodic Theory and Dyn. Systems, vol. 32, issue 06, (2012), pp. 2056-2070. (full PDF)

7. On the dynamics of non-reducible cylindrical vortices. Joint work with D.Coronel and A.Navas, Journal of the London Math. Soc. (2012) 85 (3), 789-808. (full PDF)

8. On equidistant sets and generalized conics: the old and the new. Joint work with P.Santibáñez, The American Mathematical Monthly, Vol. 121, No. 1 (January 2014), pp. 18-32. (full PDF)

9. Hyperbolization of cocycles by isometries of the euclidean space, Ergodic Theory and Dyn. Systems 34 (2014), no. 2, 628-646. (full PDF)

10. A Livsic type theorem for germs of analytic diffeomorphisms. Joint work with A.Navas, Nonlinearity 26 (2013) 297-305. (full PDF)

11. On bounded cocycles isometries over a minimal dynamics. Joint work with D.Coronel and A.Navas, Journal of Modern Dynamics, Pages 45-74, Issue 1, March 2013. (full PDF)

12. The Scaling Mean and a Law of Large Permanents. Joint work with J. Bochi & G. Iommi, Advances in Mathematics, Volume 292, 2016, Pages 374–409 (full PDF)

Submitted pre-prints

1. Regularity of Surface Mediatrices. Joint work with P. Herreros & J.J.P. Veerman (full PDF)

2. An ergodic theorem for permanents of oblong matrices. Joint work with J. Bochi & G. Iommi (full PDF)

2. Perfect Matchings in Random Bipartite Graphs in Random Environment. Joint work with J. Bochi & G. Iommi (full PDF)

Ph.D. Thesis

Courbes invariantes pour les dynamiques holomorphes fibrées, Université Paris Sud - XI. (full PDF)

Advisor: Jean-Christophe Yoccoz.

Defended in June 22, 2007.

Notes

1. Breve introducción a la teoría de Mather sobre Lagrangeanos. These notes were prepared during my Mémoire de D.E.A., Université Paris Sud, under the supervision of Giovanni Forni. (full PDF)

2. Movimiento de planetas y otras dinámicas de baja dimensión. Notes for a mini course in the XXXVI Semana de la Matemática de Valparaiso, PUCV-IMA. (full PDF)

3. Masas y Geometría , Revista del Profesor de Matemáticas, Año 1, Nro. 1, Nueva Serie, Mayo 2010. (full PDF)

4. Acerca del interior de un polígono, Revista Joven Matemático Nro. 2, 2011, 19--25. (full PDF)

5. How circular are generalized circles. Not intended for publication. (full PDF)

6. Conjuntos equidistantes y cónicas generalizadas. Notes for a mini course in the LXXXI Encuentro Anual de la Sociedad de Matemática de Chile. (full PDF)

Conferences Organizing Committee

Forthcoming:

Past:

1. Non-positive curvature, isometric actions and dynamics of cocycles, Cajón del Maipo, May 2013. (web site)

2. LX Dynamical Systems Colloquium, celebrating the 60th anniversary of Rodrigo Bamón, Pucón, Chile, November 2011. (web site)

3. Dynamics in Dimension Two, Pucón, Chile, April 2009. (web site)

4. LXXXIII Encuentro Anual Sociedad de Matemática de Chile, Linares, Chile, December 2014. (web site)

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