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Godofredo Iommi Echeverria

Profesor Asociado

Pontificia Universidad Catolica de Chile

Santigo, Chile

Líneas de Investigación


Ergodic Theory and Dynamical Systems

Educación

  •  Mathematics, UNIVERSITY OF WARWICK. Reino Unido, 2005
  •  Mathematics, UNIVERSIDAD DE SANTIAGO DE CHILE. Chile, 1999
  •  mathematics, PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO. Chile, 1996

Experiencia Académica

  •   Profesor Asistente Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Matemáticas

    Santiago, Chile

    2007 - 2011

  •   Profesior Asociado Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Matemáticas

    Santiago, Chile

    2011 - At present

  •   Post-Doctorate Full Time

    Instituto Superior Tecnico

    Lisbon, Portugal

    2004 - 2007

  •   Visitor Full Time

    POLISH ACADEMY OF SCIENCES

    Warsaw, Polonia

    2003 - 2004

Formación de Capital Humano


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)


Difusión y Transferencia


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.



 

Article (34)

Differentiability of the pressure in non-compact spaces
Escape of entropy for countable Markov shifts.
Measures of maximal entropy for suspension flows
Upper semi-continuity of entropy in non-compact settings
Hidden Gibbs measures on shift spaces over countable alphabets
Time change for flows and thermodynamic formalism
Entropy in the cusp and phase transitions for geodesic flows
Transience and multifractal analysis
WEAK GIBBS MEASURES AS GIBBS MEASURES FOR ASYMPTOTICALLY ADDITIVE SEQUENCES
The scaling mean and a Law of Large Permanents
Recurrence and transience for suspension flows
Multifractal Analysis for Quotients of Birkhoff Sums for Countable Markov Maps
Multifractal analysis of Birkhoff averages for countable Markov maps.
Recurrence and transience for suspension flows
Multifractal analysis of Birkhoff averages for countable Markov maps
Zero Temperature Limits of Gibbs States for Almost-Additive Potentials
Zero Temperature Limits of Gibbs States for Almost-Additive Potentials
Phase Transitions for Suspension Flows
Thermodynamic formalism for interval maps: inducing schemes
Transience in dynamical systems
Almost-additive thermodynamic formalism for countable Markov shifts
The Lyapunov spectrum as the Newton method
Dimension Theory for Multimodal Maps
Multifractal analysis and phase transitions for hyperbolic and parabolic horseshoes
Multifractal analysis of the Lyapunov exponent for the backward continued fraction map
Natural Equilibrium States for Multimodal Maps
Frequency of digits in the Luroth expansion
The Lyapunov Spectrum Is Not Always Concave
Partial quotients of continued fractions and beta-expansions
Ergodic Optimization for Renewal Type Shifts
Multifractal analysis for the exponential family
Suspension Flows Over Countable Markov Shifts
Multifractal analysis for countable Markov shifts
The space of invariant measures for countable Markov shifts

Proyecto (11)

ERGODIC THEORY AND THERMODYNAMIC FORMALISM
New Trends in Ergodic Theory
WIENER-WINTNER ERGODIC AVERAGES AND CONNECTIONS BETWEEN RECURRENCE AND RETURN TIMES
THERMODYNAMIC FORMALISM AND APPLICATIONS
THERMODYNAMIC FORMALISM AND APPLICATIONS
Center of Dynamical Systems and related fields
CENTER OF DYNAMICAL SYSTEMS AND RELATED FIELDS
THERMODYNAMIC FORMALISM FOR NON-UNIFORMLY HYPERBOLIC SYSTEMS
THERMODYNAMIC FORMALISM FOR NON-UNIFORMLY HYPERBOLIC SYSTEMS
RELATIVE THERMODYNAMIC FORMALISM FOR COUNTABLE MARKOV SHIFTS
RELATIVE THERMODYNAMIC FORMALISM FOR COUNTABLE MARKOV SHIFTS
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Godofredo Iommi

Profesor Asociado

Facultad de Matemáticas

Pontificia Universidad Catolica de Chile

Santigo, Chile

2
Anibal Velozo

Profesor asistente

Facultad de Matemáticas

Pontificia Universidad Católica de Chile

Santiago, Chile

2
Yuki Yayama

Assistant Professor

Ciencias Básicas

Universidad del Bio-Bio

Chillán, Chile

1
Mario Ponce

Dean

Mathematics

Pontificia Universidad Católica de Chile

Santiago, Chile

1
italo cipriano

Postdoc

Universidad Adolfo Ibánez

Santiago, Chile

1
Felipe Riquelme

Profesor Jerarquizado

Pontificia Universidad Católica de Valparaíso

Valparaiso, Chile

1
Jairo Bochi

Associate professor

Mathematics

PUC-Chile

Santiago, Chile

1
Jan Kiwi

Profesor Asociado

Matemáticas

FACULTAD DE MATEMÁTICAS, PUC

Santiago, Chile