Man

Alvaro Daniel Coronel Soto

Associate professor

Pontificia Universidad Católica de Chile

Santiago, Chile

Líneas de Investigación


Dynamical Systems, Ergodic Theory, Mathematical Theory of Quasi-crystals.

Educación

  •  Mathematical modelling, UNIVERSIDAD DE CHILE. Chile, 2009
  •  Mathematics, Université de Nice - Sophia Antipolis. Chile, 2009
  •  Mathematical Civil Engineer, UNIVERSIDAD DE CHILE. Chile, 2005

Experiencia Académica

  •   Associate Professor Full Time

    Universidad Andrés Bello

    Exact Sciences

    Santiago, Chile

    2012 - 2019

  •   Post-doc Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Mathematics

    Santiago, Chile

    2009 - 2012

  •   Associate Professor Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Mathematics

    Santiago, Chile

    2019 - At present

Formación de Capital Humano


I am leading two doctoral students in a co-supervision scheme with the University of Chile.



 

Article (14)

Sensitive Dependence of Geometric Gibbs States at Positive Temperature
Non computable Mandelbrot-like sets for a one-parameter complex family
High-order phase transitions in the quadratic family
Sensitive Dependence of Gibbs Measures at Low Temperatures
Linearly repetitive Delone sets are rectifiable
Low-temperature phase transitions in the quadratic family
ON BOUNDED COCYCLES OF ISOMETRIES OVER MINIMAL DYNAMICS
On the dynamics of nonreducible cylindrical vortices
Rapid Convergence to Frequency for Substitution Tilings of the Plane
The cohomological equation over dynamical systems arising from Delone sets
Tower systems for linearly repetitive Delone sets
Tower systems for linearly repetitive Delone sets
Sequence entropy and rigid sigma-algebras
Realizing semicomputable simplices by computable dynamical systems

BookSection (1)

Linearly repetitive Delone sets

Proyecto (3)

Thermodynamics Formalism in Dynamical Systems and its interactions with Statistical Mechanics
GEOMETRIC AND STATISTICAL PROPERTIES OF PURE POINT DIFFRACTIVE QUASICRYSTALS
TANGENTIAL COHOMOLOGY OF APERIODIC PATTERNS
14
Alvaro Coronel

Associate professor

Mathematics

Pontificia Universidad Católica de Chile

Santiago, Chile

2
Andres Navas

Full time Professor

Mathematics

DPTO DE MATEMATICA Y CC, USACH

Santiago, Chile

2
Mario Ponce

Dean

Mathematics

Pontificia Universidad Católica de Chile

Santiago, Chile

1
Alejandro Maass

Main Researcher

Center for Mathematical Modeling

Universidad de Chile

Santiago, Chile