Ergodic Theory and Dynamical Systems

2 Postdoctorate 2016-2019
3 Ph.D Student, (2021 and expected 2022 and 2023 )
6 Master Students
5 Undergraduate Thesis Supervised

Member of the examiners committee for the Masters thesis of:
• Jose Torres (PUC)
• Nicolas Aranciabia (USACH)
• Solange Aranzubia (USACH)
• Erick Inda (USACH)
• Andres Jablonski (USACH)
• Fernanda Torres (PUC).
. Pablo Diaz (USACH).
. Renato Velozo (UC).
. Sebastián Pavez (UC).

Member of the examiners committee of the PhD thesis of:
• Manuel Cabezas (PUC)
• Solange Aranzubia (USACH)
. Enzo Fuentes (PUCV)
. Alfredo Caledrón (UV)
.Thiago Costa (USP, Brazil)

TALKS GIVEN AT CONFERENCES AND SEMINARS:

Thermodynamic formalism and applications Mini-course (with Katrin Gelfert) II Brazil- ian School on Dynamical Systems, USP Sao Carlos, Brazil (2012).
Parabolic suspension flows. Large deviations and thermodynamic formalism. Centre Interfacultaire Bernoulli , Lausanne, Switzerland (2013).
The Besicovitch formula Seminario de Aritmetica, Valparaiso, Chile (2013).
Thermodynamic formalism for suspension flows Conference for the 60th Birthday of Ivan Szanto, Valparaiso, Chile (2013).
Limites de medidas de Gibbs para potenciales casi-aditivos Seminario de Dinamica Portena, Valparaiso, Chile (2013).
Zero temperature limits for almost additive potentials. Ergodic Optimization and Related Fields, Sao Paulo, Brazil (2013).
The Law of Large Permanents Seminario de Dinamica Portena, Valparaiso, Chile (2014).
Variational principles in dimension theory Coloquio de Sistemas Dinamicos, Valdivia, Chile (2015).
Convergence almost everywhere Seminario de Dinamica Portena, Valparaiso, Chile (2015).
Phase transitions for suspension and geodesic flows Thermodynamic formalism and mixing, Schrodinger Institute, Vienna, Austria (2016).
Ergodic theory and continued fractions Coloquio Universidad de Chile (2016).
Thermodynamics for the Jacobi-Perron map Seminario de Sistemas Dinámicos de Santiago, Chile.
Thermodynamics for the Jacobi-Perron map, Mathematics Congress of the Americas, Montreal, Canada (2017).
Upper semi continuity of the entropy in Markov shifts Thermodynamic formalism in dynamical systems, Edinburgh, Scotland (2018).
Upper semi continuity of the entropy in Markov shifts 50 years of Thermodynamic formalism, Leiden, The Netherlands (2018).
Ergodic theory and continued fractions Coloquio para estudiantes de postgrado de Matemática y Ciencias afines de la Universidad del Bio-Bio. Concepción, Chile (2018).
Upper semi continuity of the entropy in Markov shifts SOMACHI annual meeting, Rancagua, Chile (2018).
Upper semi continuity of the entropy in Markov shifts Dynamical Systems Seminar Hebrew University, Jerusalem, Israel (2019).
Upper semi continuity of the entropy in Markov shifts Analysis Seminar Weizmann Institute, Rehovot, Israel (2019).
Semi continuity properties of the entropy XXXII Jornadas de la Zona Sur, Punta Arenas, Chile (2019).
Upper semi continuity of the entropy in Markov shifts Seminario EDAI. Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil (2019).
Escape of mass and entropy at infinity Conference Thermodynamic Formalism: Ergodic Theory and Geometry, Warwick, United Kingdom (2019).
Fracciones continuas y Teoría Ergódica XLV Semana de la Matemática, PUCV, Valparaíso, Chile (2019).
Escape of entropy for countable Markov shifts. Third Workshop in Dynamical Systems, Porto Alegre, Brazil (2019).
Dimension Theory of continued fractions. Resistencia Dinamica, Rio de Janeiro, Brazil. Online (2020).
Dimension Theory of continued fractions Seminario de sistemas Dinámicos de Santiago, Santiago, Chile. Online (2020).
Arithmetic and Geometric averages in continued fractions. Expanding Dynamics Meeting, Chicago-Santiago, USA-Chile, Online (2021)
The Halasz Szekely Barycenter. Dynamical Systems and Ergodic Theory Seminar, Bristol, UK (2021)
Arithmetic Averages and normality in continued fractions. One World Numeration Seminar, Paris, France (2021)

ORGANIZATION OF CONFERENCES

November 2007 Organiser of the Dynamical Systems session of the meeting of the Chilean mathematical society (SOMACHI).
January 2008 Member of the Organising committee of the conference Dynamical and Ergodic Properties of (semi)-group Actions. Santiago, Chile.
November 2011 Organiser of the LIX Coloquio de Sistemas Dinamicos. Santiago, Chile.
April 2012 Member of the Organising committee of the AGRA school. Santiago. Chile.
July 2013 Organiser of the conference Thermodynamic formalism and applications. Santiago, Chile.
December 2016 Organiser (with Pablo Shmerkin) of the Dynamical Systems session of the SUMA meeting (between the Chilean and Argentinian mathematical Societies).
June 2017 Member of the orginising commitee of Coloquio LXII: El legado de Jorge Billeke, Santiago, Chile.
September 2017 Member of the orginising commitee ofLXIII Colloquium: Celebrating Rafel Labarca‘s 60th birthday, Santiago, Chile.July 2018 Organiser of the Dynamical Day, Santiago, Chile.
August 2018 Organiser of the Dynamical Day, Santiago, Chile.
November 2018 Organiser of the Dynamical Day, Santiago, Chile.
December 2018 Organiser of the Dynamical Day, Santiago, Chile.