Probability theory and stochastic processes, Ergodic theory, Stochastic Modeling, Bioinformatics

Advisory PhD Thesis
1. Nestor Bertoglio, 10/1989, Sobre problemas relativos a sistemas intrinsicamente aleatorios. Tesis P.U. Catolica.
2. Marcelo Sobottka, 28/10/2005, Representación y aleatorización en Sistemas Dinámicos de tipo algebraico.
Tesis U. Chile.
3. Javiera Barrera M., 6/12/2005, Cutoff para n/muestras de procesos Estocásticos Exponencialmente
convergentes y particiones Aleatorias del intervalo (0,1). Tesis en Co-tutela U. Chile- U. Grenoble:
Co-dirigida Bernard Ycart.
4. Jorge Littin C., 16/12/2013, Quasi stationary distributions when infinity is an entrance boundary,
Optimal conditions for phase transition in 1 dimensional Ising model by Peierls argument and its
consequences. Tesis en co-tutela U. Chile/ U. Provence: Co-dirigida con Pierre Picco.

Advisory Posdocs
1. Andrew Hart (PhD Queensland U.), CMM, 2001-2002. He is now researcher at CMM.
1. Xiao-dong Zhang (PhD U. of Science and Technology of China) CMM, 2001-2002.
He is now Professor at the Shanghai Jiao Tong University, CHINA.
2. Cesar Octavio Maldonado (PhD , U. San Luis Potosi), CMM, 2015-2016. He is now Associtated ?Professor Instituto Potosino de Investigación
Científica y Tecnológica - IPICYT, MEXICO.
3. Fabio Lopes (PhD. Stockholms U. Sweden) CMM, 2016-2018.

Advisory Mathematical Engineering thesis:
1. Ronald Fischer B.,  02/12/81, Modelos matemáticos de estabilización de precios
2. Víctor H. Salinas T., 22/12/82, Modelos Matemáticos en Sismología
3. José M. Perez C. 26/04/85, Clasificación automática jerárquica bajo restricción de contiguidad
4. Pablo Dartnell R. 25/07/85, Procesos markovianos que convergen al equilibrio de K-sistemas aplicados al gas ideal
5. Jaime San Martín A., 25/07/85 Procesos markovianos que convergen al equilibrio de K-sistemas aplicados al gas ideal
6. Eliana Scheihing G., 27/06/86, Modelos estocásticos en sismología. Estadística temporal de grandes sismos y aplicación al caso chileno
7. Claudia Matus C.,15/12/87, Autosimilaridad de áreas de falla y ley de Gutenberg-Richter
8. Fernando Quintana Q., 15/12/87Autosimilaridad de áreas de falla y ley de Gutenberg-Richter
9. Alejandro Maass S., 07/06/90, Complejidad límite para una máquina de Turing (co-dirigida con Eric Goles)
10. Sergio Donoso S.,  22/12/94, Comparación y Evaluación de Sistemas de Aplicación Estadística
11. Daniela Devoto M, 23/01/95, Distribuciones truncadas. Aplicación a distribuciones del tamaño de rocas fragmentadas
12. Pierre-Paul Romagnoli P.,13/06/97, Contribución al estudio de Sistemas Inducidos y Pares de Entropía (co-dirigida con Alejandro Maass)
13. Joaquín Fontbona T., 29/07/99, Difusión de Grafos
14. Javiera Barrera M.,  25/01/2002, Modelos probabilísticos para el sesgo granulométrico en imágenes y aplicaciones en minería
15. Angela Ganz B., 12/11/2003, Modelos estocásticos para distribución de discontinuidades Geológicas
16. Leonardo Videla M., 23/08/2005, Un modelo simple para organización de zonas genéticas en un ADN Bacteriano
17. Rodrigo Assar C., 12-12-2005, Análisis y comparación de métodos de clasificación: Aplicaciones en expresión génica
18. Jorge Prado G., 04/11/2010, Distribuciones Cuasi-Estacionarias en Modelos de Poblaciones
19. Mónica Carvajal P., 09/01/2013 Herramientas Matemáticas para el Cálculo de Primas en Seguros contra Sismos.
20. Ian P. Letter, 18/01/2018 Modelos probabilisticos de recombinacion en genetica.
21. Alonso Guzman T., 17/07/2018 Arboles de decision e identificacion de genes en bacterias.

---Scientific director of the Bioinformatics and Mathematics of Genome Laboratory, which was counterpart
of Biosigma S.A. of Codelco and Nippon-Mining in cooper bioleaching project the period 2003-2011.
Besides the collaboration, we get patents in several countries in bioidentification in metagenomics, they are
(they were also listed in the item Patents):

Patents.
1. A. Maass, A. Aravena, M. Gonzalez, S. Martinez, K. Ehrenfeld.
Method for designing oligonucleotides for molecular biology techniques.
USA, No. US 7 853 404, 14/12/2010; South Africa, No. 2006/06828, 26/03/2008;
Australia, No. 2006203551, 17/05/2011.

2. P. Parada, K. Ehrenfeld, I. Pacheco, A. Maass, A. Aravena, M. Gonzalez, S. Mart\inez.
Method of identification and quantification of microorganisms useful in the process of bioleaching.
South Africa, No. 2006/07131, 30/05/2007; Chile, No. 46,739, 31/08/2010.

3. R. Badilla, A. Maass, P. Parada, A. Aravena, P. Moreno, S. Mart\inez, K. Ehrenfeld.
Arrangements of DNA fragments of bioleaching microorganisms and method
for their detection.
South Africa, No. 2006/09650, 27/12/2007; Argentina, No. AR0576112B1, 09/09/2010;
Peru, No. 1432-2010, 29/10/2010.

--I have co-organized several international schools, all except one took place in Chile,
the other one took place at Les Houches, France. These schools were addressed to
young researchers and students on probability, dynamical systems, statistical physics,
ergodic theory and cellular automata. Several Proceedings of these Schools were published
with international publishers. These volumes are the following ones:

EDITED BOOKS.

Information and Randomness.
Collection Travaux en Cours, 66, Hermann Éditeurs, Paris, 2006.
Editors Alejandro Maass, Servet Martínez, Jaime San Martín.

Dynamics and Randomness II.
Nonlinear Phenomena and Complex Systems, 8, Kluwer Academics
Publishers, 2004.
Editors Alejandro Maass, Servet Martínez, Jaime San Martín.

Dynamics and Randomness.
Nonlinear Phenomena and Complex Systems, 7, Kluwer Academics
Publishers, 2002.
Editors Alejandro Maass, Servet Martínez, Jaime San Martin.

Complex Systems. Nonlinear Phenomena and Complex Systems.
Kluwer Academics Publishers, 2001, 300 p.
Editors Eric Goles, Servet Martínez.

Cellular Automata and Complex Systems.
Nonlinear Phenomena and Complex Systems, Kluwer Academics
Publishers, 1999, 180 p.
Editors Eric Goles, Servet Martínez .

Dynamical Systems.
Hermann, 1996, Paris, 188 p.
Editors Rodrigo Bamón, Servet Martínez, Jean-Marc Gambaudo.

Disordered Systems.
Hermann 1996, Paris, 169 p.
Rodrigo Bamón, Servet Martínez, Jean-Marc Gambaudo.

Dynamics of Complex Interacting Systems.
Nonlinear Phenomena and Complex Systems, Kluwer Academics
Publishers, 1996, 177 p.
Editors Eric Goles, Servet Martínez.

Cellular Automata, Dynamical Systems and Neural Networks.
Mathematics and Its Applications.
Kluwer Academics Publishers, 1994, 189 p.
Editors Eric Goles, Servet Martínez.

Cellular Automata and Cooperative Systems.
NATO-ASI Series,Kluwer Academics Publishers, 1993, 536 p.
Editors Nino Boccara, Eric Goles, Servet Martínez, Pierre Picco.

Automata Networks, Dynamical Systems and Statistical Physics.
Mathematics and Its Applications, Kluwer Academics
Publishers, 1992, 207 p.
Editors Eric Goles, Servet Martínez.

ORGANIZATION OF SPECIAL CONFERENCES

1. ICAM 2006 International Conference on the Applications of Mathematics,
SIAM-EMS-UMALCA Congress. March 13-17, 2006, CMM, Santiago, CHILE.

2. VI CLAPEM LatinAmerican Congress on Probability and Statistical Mathematics,
November 20-24, 1995, Viña del Mar, CHILE.

Participation in the Steering Comittee or in the Program Committee or in The Scientific
Committee of several international congresses: 1st and 2nd Mathematics Congress of
the Americas, 2014 Guanajuato, 2017 Montreal respectively; CLAPEM Congresses,
CIMPA Schools, Brazilian Schools of Probability.