Daniel Coronel

Postdoct (funded by Fondecyt)

Contant Information

Facultad de Matemáticas
Pontificia Universidad Católica de Chile
Avenida Vicuna Mackenna 4860
Macul, CHILE
email: acoronel at mat.puc.cl

Degrees

• Ph.D. in Mathematics, University of Chile and University of Nice-Sophia Antipolis, 2009
• Mathematical Engineer, University of Chile, 2005

Research Interests

Dynamical systems, ergodic theory, aperiodic tilings and Delone sets.

Papers and preprints

1. Sequence entropy and rigid sigma-algebras (with Alejandro Maass and Song Shao). Studia Math. 194 (2009), no. 3, 207-230. pdf

2. The cohomological equation over dynamical systems arising from Delone sets. Ergodic Theory Dynam. Systems 31 (2011), no. 3, 807-833. pdf

3. Tower systems for linearly repetitive Delone sets (with José Aliste-Prieto). Ergodic Theory Dynam. Systems volume 31 (2011), no. 6, 1595-1618. pdf

4. Rapid convergence to frequency for substitution tilings of the plane (with José Aliste-Prieto and Jean-Marc Gambaudo). Comm. Math. Phys. 306 (2011), no. 2, 365-380. pdf

5. On the dynamics of non-reducible cylindrical vortices (with Andrés Navas and Mario Ponce). Journal of the London Mathematical Society 2012; doi: 10.1112/jlms/jdr068 pdf

6. Linearly repetitive Delone sets are rectifiable (with José Aliste-Prieto and Jean-Marc Gambaudo). Accepted for publication in Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire, pdf

7. On bounded cocycles of isometries over a minimal dynamics (with Andrés Navas and Mario Ponce). Submitted. pdf

8. Low-temperature phase transitions in the quadratic family (with Juan Rivera-Letelier). Submitted. pdf