Man

Yuki Yayama

Assistant Professor

Universidad del Bio-Bio

Chillán, Chile

Líneas de Investigación


Research Interest: Ergodic theory and Dynamical Systems, in particular, symbolic dynamical systems, thermodynamic formalism and its applications

Educación

  •  Mathematics, University of North Carolina at Chapel Hill. Estados Unidos, 2007
  •  Mathematics, University of Maryland at College Park. Estados Unidos, 2000
  •  Sociology, Ritsumeikan University . Japón, 1996

Experiencia Académica

  •   postdoctoral fellow Full Time

    University of East Anglia

    norwich, Reino Unido

    2007 - 2007

  •   Assistant Professor Full Time

    UNIVERSIDAD DEL BIO-BIO

    Ciencias

    chillán, Chile

    2011 - At present

  •   postdoc Full Time

    Centro de Modelamiento Matematico, Universidad de Chile

    santiago, Chile

    2008 - 2011

Formación de Capital Humano


PhD Students:
1. Camilo Lacalle Glena, Universidad del Bío-Bío, 2020.
Title of the thesis: Thermodynamic formalism for a certain class of subadditive sequences on countable Markov shifts and applications.

Service:
1. Member of the academic committee of the PhD program in Applied Mathematics at the University of Bío-Bío, June 2015-January 2018.
2. Member of the committee of the school of Information Sciences at the Universidad del Bío-Biío, Chillán, November 1, 2022-present.


Difusión y Transferencia


Talks (2018-2022)
1. Jornada de Matemática de la Zona Sur, Concepción, April 2023.
2. RIMS Workshop on development and applications of dynamical systems, Kyoto, Japan, June 2022.
3. Dynamical Systems Seminar, Pontificia Universidad Católica de Valparaíso, Valparaíso, May 2022.
4. Jornada de Matemática de la Zona Sur, Osorno, April 2022.
5. Jornada de Matemática de la Zona Sur, Punta Arenas, April 2019.
6. Dynamical Systems Seminar, Pontificia Universidad Católica de Chile, Santiago, November 2018.

Talks (2012-2017):
1. Dynamical Systems Seminar, Department of Mathematics, Universidad del Bio.-Bio, Concepción, October, 2015. (brief introduction of my research area to the group of graduate students in dynamical systems)
2. Mathematics-Physics Seminar, Universidad del Bío-Bío, Chillán, May 2014.
3. Dynamical Systems Seminar, Pontificia Universidad Católica de Chile, Santiago, December 2013.
4. Dynamical Systems Seminar, Pontificia Universidad Católica de Valparaíso, Valparaíso, December 2013.
5. Somachi anual meeting 2013, Olmué, November 2013.
6. Dynamical Systems Seminar, Universidad del Bío-Bío, Concepción, November 2013.
7. Iberoamericano de Matemáticas Aplicadas, Universidad del Bío-Bío, Chillán, Chile, August 2012.
8. Ergodic Theory Seminar, Keio University, Yokohama, Japan, July 2012.
9. Dynamical Systems Seminar, Kyushu University, Fukuoka, Japan, July 2012.
10. Workshop on Dynamical systems and related topics, Research Institute for Mathematical Science (RIMS), Kyoto University, Kyoto, Japan, July 2012.
11. First joint Chilean-French meeting on Dynamics and Combinatorics, Cap Hornu, Baie de Somme, France, January 2012.

Talks (2007-2011)
12. School on Information and Randomness 2010, Pucón, Chile, December 2010.
13. Stochastic Modeling Seminar, Center for mathematical Modelling, Universidad de Chile, Santiago, Chile, August 2010.
14. Conformal Structures and Dynamics Third Year Conference, Bedlewo, Poland, September 2009.
15. Dynamical Systems at Vaparaíso-a satellite conference of the III CLAM, Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile, September 2009.
16.. Dynamical Systems Seminar, Pontificia Universidad Católica de Valparaíso, Valparaíso, June 2008.
17. Dynamical Systems Seminar, Pontificia Universidad Católica de Chile, Santiago, March 2008.
18. Dynamical Systems Seminar, University of Manchester, Manchester, UK, November 2007.
19. Dynamical Systems Seminar, University of Warwick, Coventry, UK, November 2007.
20. Informal Seminar , University of Surrey, Guildford, UK, October 2007.
21. Pure Mathematics Research Seminar, University of East Anglia, Norwich, UK, October 2007.
22. Dynamical Systems Seminar, Queen Mary, University of London, London, UK, October 2007.

Workshop organization
1.Co-organizer, Workshop on Applied Mathematics, University of Bío-Bío, Chillán, January 13-16, 2022.
2. Main organizer, Workshop on dynamical systems and applications, University of Bío-Bío, Concepción, December 3-5, 2019.



 

Article (10)

On generalized compensation functions for factor maps between shift spaces on countable alphabets
Hidden Gibbs measures on shift spaces over countable alphabets
WEAK GIBBS MEASURES AS GIBBS MEASURES FOR ASYMPTOTICALLY ADDITIVE SEQUENCES
On factors of Gibbs measures for almost additive potentials
Zero Temperature Limits of Gibbs States for Almost-Additive Potentials
Almost-additive thermodynamic formalism for countable Markov shifts
APPLICATIONS OF A RELATIVE VARIATIONAL PRINCIPLE TO DIMENSIONS OF NONCONFORMAL EXPANDING MAPS
Existence of a measurable saturated compensation function between subshifts and its applications
Dimensions of compact invariant sets of some expanding maps
MARKOV PARTITIONS REFLECTING THE GEOMETRY OF x2, x3

Proyecto (10)

GRUPO DE INVESTIGACIÓN EN SISTEMAS DINÁMICOS Y APLICACIONES (Research group in Dynamical systems and applications)
New trends in Ergodic Theroy
Grupo de investigación en Sistemas dinámicos y aplicaciones
Weak Gibbs measures and generalized Gibbs measures, equilibrium states for sequences of continuous functions and their applications
Center of Dynamical Systems and Related Fields
The Center of Dynamical Systems and Related Fields
EQUILIBRIUM STATES FOR SEQUENCES OF CONTINUOUS FUNCTIONS, FACTOR MAPS BETWEEN SUBSHIFTS AND THEIR APPLICATIONS
Equilibrium states for sequences of continuous functions, factor maps between subshifts and their applications
DIMENSIONS FOR SOME NON-CONFORMAL EXPANDING MAPS
Dimensions of some non- conformal expanding maps
17
Yuki Yayama

Assistant Professor

Ciencias Básicas

Universidad del Bio-Bio

Chillán, Chile

3
Godofredo Iommi

Profesor Asociado

Facultad de Matemáticas

Pontificia Universidad Catolica de Chile

Santigo, Chile