Curriculum 
Vitae
Personal 
Data


Name : 
Alejandro 
Maass 
Date 
of 
Birth : 
November 
11, 
1965 
Place 
of 
Birth : 
Santiago, 
Chile 
Nationality : 
Chilean 
Position : 
Associate 
Professor 
Departamento 
de 
Ingenier´ia 
Matem´atica 
U. 
de 
Chile 
Other 
Responsabilities : 
Director 
Laboratory 
of 
Bioinformatics 
and 
Mathematics 
of 
Genome 
Center 
of 
Mathematical 
Modelling 
Address : 
Av. 
Blanco 
Encalada 
2120, 
5to 
piso, 
Santiago, 
Chile 
Phone 
number : 
(56)(2) 
6711530-9784456 
FAX 
number : 
(56)(2) 
6883821 
e-mail : 
amaass@dim.uchile.cl 
Date : 
May, 
2006 

Academic 
Data


Studies 

Undergraduate 
studies : 
Fc. 
Cs. 
F´isicas y 
Matem´aticas, 
Universidad 
de 
Chile 
1984-1990 
Ingeniero 
Civil 
Matem´atico 
June 
1990 
Graduate 
Studies : 
Inst. 
de 
Math´ematiques 
de 
Luminy, 
CNRS–Francia 
1991-1994 
PhD 
in 
Pure 
Mathematics 
July 
1994 
Habilitation 
Thesis 
in 
Mathematics 
February 
2000 

Distinctions 

-Marcos 
Orrego 
Puelma 
prize 
of 
the 
Chilean 
Institute 
of 
Engineering: 
best 
graduate 
student 
in 
engineering 
at 
University 
of 
Chile 
(1990)
. 

Teaching 
Experience 

1 


Main 
Professor 
Complex 
Analysis 
1989/
1 
Main 
Professor 
Probability 
1989/
2 
Main 
Professor 
Probability 
1990/
1 
Main 
Professor 
Measure 
Theory 
1990/
2 
Main 
Professor 
Probability 
1991/
1 
Main 
Professor 
Algebra 
1991/
1 
Main 
Professor 
Information 
Theory 
1994/
2 
Main 
Professor 
Symbolic 
Dynamics 
1995/
1 
Main 
Professor 
Algebra 
1995/
1 
Main 
Professor 
Algebra 
1995/
2 
Main 
Professor 
Information 
Theory 
1995/
2 
Main 
Professor 
Algebra 
1996/
1 
Main 
Professor 
Probability 
1996/
1 
Main 
Professor 
Information 
Theory 
1996/
2 
Main 
Professor 
Measure 
Theory 
1997/
1 
Main 
Professor 
Algebra 
1997/
2 
Main 
Professor 
Algebra 
1998–1/
2 
Main 
Professor 
Probability 
1998/
1 
Main 
Professor 
Symbolic 
Dynamics 
1998/
1 
Main 
Professor 
Information 
Theory 
1999/
2 
Main 
Professor 
Algebra 
1999/
2 
Main 
Professor 
Algebra 
2000/
1 
Main 
Professor 
Probability 
2000/
1 
Main 
Professor 
Symbolic 
Dynamics 
2000/
1 
Main 
Professor 
Information 
Theory 
2000/
2 
Main 
Professor 
Probability 
2001/
1 
Main 
Professor 
Algebra 
2001/
2 
Main 
Professor 
Information 
Theory 
2002/
1 
Main 
Professor 
Algebra 
2002/
2 
Main 
Professor 
Measure 
Theory 
2003/
1 
Main 
Professor 
Algebra 
2003/
2 
Main 
Professor 
Symbolic 
Dynamics 
2003/
2 
Main 
Professor 
Measure 
Theory 
2004/
1 
Main 
Professor 
Symbolic 
Dynamics 
2004/
1 
Main 
Professor 
Algebra 
2004/
2 
Main 
Professor 
Information 
Theory 
2005/
1 
Main 
Professor 
Dynamical 
Systems 
2005/
2 
Main 
Professor 
Algebra 
2005/
2 

Direction 
of 
Engineering 
thesis 
1.-Pierre-Paul 
Romagnoli: 

2 


Memoria 
de 
Ingeniero 
Civil 
Matem´atico, 
Universidad 
de 
Chile, 
1997.
2.-Fernando 
Schwartz:
Memoria 
de 
Ingeniero 
Civil 
Matem´atico, 
Universidad 
de 
Chile, 
1999.


3. 
Andr´es 
Moreira:
Memoria 
de 
Ingeniero 
Civil 
Matem´atico, 
Universidad 
de 
Chile, 
1999.
4. 
Rodrigo 
Radiscz:
Memoria 
de 
Ingeniero 
Civil 
Electricista, 
Universidad 
de 
Chile, 
2000.
5. 
Mar´ia 
Isabel 
Cortez:
Memoria 
de 
Ingeniero 
Civil 
Matem´atico, 
Universidad 
de 
Chile, 
2002.
6. 
Vicente 
Acu˜na:
Memoria 
de 
Ingeniero 
Civil 
Matem´atico 
and 
Master 
Thesis 
in 
Computer 
Science, 
Universidad
de 
Chile, 
2004.
7. 
Rodolfo 
Tapia:
Memoria 
de 
Ingeniero 
Civil 
Matem´atico, 
Universidad 
de 
Chile, 
2004.
8. 
Carito 
Vargas
Memoria 
de 
Ingeniero 
Civil 
en 
Computaci´on, 
Universidad 
de 
Chile, 
2004
9. 
Alvaro 
Coronel:
Memoria 
de 
Ingeniero 
Civil 
Matem´atico, 
Universidad 
de 
Chile, 
2005
10. 
Felipe 
Torres:
Memoria 
de 
Ingeniero 
Civil 
Matem´atico, 
Universidad 
de 
Chile, 
2005
11. 
Jos´
e 
Luis 
Gonz´alez:
Memoria 
de 
Ingeniero 
Civil 
Matem´atico, 
Universidad 
de 
Chile, 
2005.
12. 
Alonso 
Silva:
Memoria 
de 
Ingeniero 
Civil 
Matem´atico, 
Universidad 
de 
Chile, 
in 
preparation.
Direction 
of 
Ph. 
D. 
thesis 

1.-Pierre-Paul 
Romagnoli:
Ph. 
D. 
Thesis 
Universidad 
de 
Chile, 
2002.
2.-Marcelo 
Sobottka: 
(with 
Servet 
Mart´inez)
Ph. 
D. 
Thesis 
Universidad 
de 
Chile, 
2005.
3.-Mar´ia 
Isabel 
Cortez:
Ph. 
D. 
Thesis 
Universidad 
de 
Chile, 
2005.
4.-Camilo 
Jadur:
Ph. 
D. 
Thesis 
Universidad 
de 
Chile, 
2005.
5.-Jorge 
Yazlle:
Ph. 
D. 
Thesis 
Universidad 
de 
Chile, 
2005.
6.-Mathieu 
Sablik:
Ph. 
D. 
Thesis 
Universit´
e 
de 
la 
M´edit´erranee 
France, 
in 
preparation 
3rd 
year.
7.-Jos´
e 
Aliste:
Ph. 
D. 
Thesis 
Universidad 
de 
Chile, 
in 
preparation 
1st 
year.
8.-Alvaro 
Coronel:
Ph. 
D. 
Thesis 
Universidad 
de 
Chile, 
in 
preparation 
1st 
year.
9.-Guillermo 
Espinoza:


3 


Ph. 
D. 
Thesis 
Universidad 
de 
Chile, 
in 
preparation 
1st 
year. 

Research 
Interests 

Ergodic 
Theory, 
Topological 
Dynamics, 
Symbolic 
Dynamics, 
Bioinformatics. 

Publications 

Accepted 
articles 

(1) 
A. 
Maass, 
Universal 
Cellular 
Automaton 
Simulating 
Any 
Programmable 
Machine, 
Revista 
de 
Matem´aticas 
Aplicadas 
12, 
107-126 
(1991)
. 
(2) 
E. 
Goles, 
A. 
Maass, 
S. 
Mart´inez, 
On 
the 
limit 
set 
of 
some 
universal 
cellular 
automata, 
Theoretical 
Computer 
Science 
110, 
53-78 
(1993)
. 
(3) 
A. 
Maass, 
Some 
Coded 
Systems 
that 
are 
not 
unstable 
limit 
sets 
of 
CA, 
Cellular 
Automata 
and 
Cooperative 
Systems, 
NATO–ASI 
series, 
Kluwer 
Ac. 
Publ. 
396, 
433-449 
(1993)
. 
(4) 
A. 
Maass, 
On 
the 
Sofic 
limit 
sets 
of 
cellular 
automata, 
Ergodic 
Theory 
and 
Dynamical 
Systems 
15, 
663-684 
(1995)
. 
(5) 
F. 
Blanchard, 
B. 
Host, 
A. 
Maass, 
S. 
Mart´inez, 
D. 
Rudolph, 
Entropy 
pairs 
for a 
measure, 
Ergodic 
Theory 
and 
Dynamical 
Systems 
15, 
621-632 
(1995)
. 
(6) 
F. 
Blanchard, 
A. 
Maass, 
On 
dynamical 
properties 
of 
generalized 
toggle 
automata, 
Lecture 
Notes 
in 
Computer 
Science 
911, 
84-98 
(1995)
. 
(7) 
F. 
Blanchard, 
B. 
Host, 
A. 
Maass, 
Repr´esentation 
par 
automate 
des 
fonctions 
continues 
du 
tore, 
Journal 
de 
Theorie 
des 
Nombres 
de 
Bordeaux 
8, 
205-214 
(1996)
. 
(8) 
F. 
Blanchard, 
A. 
Maass, 
Dynamical 
Behavior 
of 
Coven’s 
aperiodic 
cellular 
automata, 
Theoretical 
Computer 
Science 
163, 
291-302 
(1996)
. 
(9) 
A. 
Maass, 
Some 
dynamical 
properties 
of 
one–dimensional 
cellular 
automata, 
Nonlinear 
phenomena 
and 
Complex 
Systems, 
Dynamics 
of 
Complex 
Interacting 
Systems, 
Kluwer 
Academic 
Publishers, 
Vol.1, 
35-80 
(1996)
. 
(10) 
F. 
Blanchard, 
A. 
Maass, 
Dynamical 
properties 
of 
expansive 
one-sided 
cellular 
automata, 
Israel 
Journal 
of 
Mathematics 
99, 
149-174 
(1997)
. 
(11) 
F. 
Blanchard, 
P. 
K°urka, 
A. 
Maass, 
Topological 
and 
measure-theoretic 
properties 
of 
one-dimensional 
cellular 
automata, 
Physica D 
103, 
86-99 
(1997)
. 
(12) 
A. 
Maass, 
S. 
Mart´inez, 
Coding 
nested 
mixing 
one-sided 
subshifts 
of 
finite 
type 
as 
Markov 
shifts 
having 
exactly 
the 
same 
alphabet, 
Proceedings 
of 
AMS 
126, 
1219-1230 
(1998)
. 
(13) 
A. 
Maass, 
S. 
Mart´inez, 
On 
Ces`aro 
Limit 
Distribution 
of 
Permutative 
Cellular 
Automata, 
Journal 
of 
Statistical 
Physics 
90, 
435-452 
(1998)
. 
(14) 
A. 
Maass, 
P. 
Kurka, 
Realtime 
Subshifts, 
Theoretical 
Computer 
Science 
237, 
1-2, 
307325 
(2000)
. 
(15) 
F. 
Blanchard, 
B. 
Host, 
A. 
Maass, 
Topological 
Complexity, 
Ergodic 
Theory 
and 
Dynamical 
Systems 
20, 
641-662 
(2000)
. 
(16) 
A. 
Maass, 
S. 
Mart´inez, 
Time 
averages 
for 
some 
classes 
of 
expansive 
cellular 
automata, 
Nonlinear 
phenomena 
and 
Complex 
Systems, 
Cellular 
Automata 
and 
Complex 
Systems, 
4



Kluwer 
Academic 
Publishers, 
Vol.3, 
37–54 
(1999)
.
(17)P. 
Ferrari, 
A. 
Maass, 
S. 
Mart´inez, 
P.Ney, 
Ces`aro 
mean 
distribution 
of 
group 
automata
starting 
from 
measures 
with 
summable 
decay, 
Ergodic 
Theory 
and 
Dynamical 
Systems 
20,
1657-1670 
(2000)
.


(18) 
M. 
Boyle, 
A. 
Maass, 
Expansive 
invertible 
one 
sided 
cellular 
automata, 
Journal 
of 
Math
ematical 
Society 
of 
Japan 
52, 
no. 
4, 
725-740 
(2000)
.
(19) 
V. 
Afraimovich, 
A. 
Maass, 
J. 
Ur´ias, 
Symbolic 
dynamics 
for 
sticky 
sets 
in 
Hamiltonian
systems, 
Nonlinearity 
13, 
617-637 
(2000)
.
(20) 
F. 
Durand, 
P. 
Dartnell, 
A. 
Maass, 
Orbit 
and 
Kakutani 
equivalence 
with 
Sturmian
subshifts, 
Studia 
Mathematica 
142 
(1)
, 
25-45 
(2000)
.
(21) 
P. 
K°urka, 
A. 
Maass, 
Limit 
sets 
of 
cellular 
automata 
associated 
to 
probability 
measures,
Journal 
of 
Statistical 
Physics 
100 
(5/6)
, 
1031-1047 
(2000)
.
(22) 
P. 
K°urka, 
A. 
Maass, 
Stability 
of 
Subshifts 
in 
cellular 
automata, 
Fundamenta 
Informat
icae 
52 
(1-3)
, 
143-155 
(2002)
.
(23) 
P. 
K°urka, 
A. 
Maass, 
Recurrence 
dimension 
in 
Toeplitz 
subshifts, 
Proceedings 
Dynamical
Conference 
IML-CPT, 
Marseille 
1998.
(24) 
F. 
Durand, 
A. 
Maass, 
Limit 
laws 
of 
entrance 
times 
for 
low 
complexity 
dynamical
systems, 
Nonlinearity 
14 
(2001)
, 
no. 
4, 
683-700.
(25) 
F. 
Blanchard, 
E. 
Glasner, 
S. 
Kolyada, 
A. 
Maass, 
On 
Li–Yorke 
Pairs, 
Journal 
f¨ur 
die
reine 
und 
angewandte 
Mathematik 
547 
(2002)
, 
51-68. 
2002.
(26) 
F. 
Durand, 
A. 
Maass, A 
note 
on 
limit 
laws 
for 
minimal 
Cantor 
systems 
with 
infinite
periodic 
spectrum, 
Discrete 
and 
Continuous 
Dynamical 
Systems 
9, 
No. 3 
(2003)
, 
745-750.
(27) 
M.I. 
Cortez, 
F. 
Durand, 
B. 
Host, 
A. 
Maass, 
Continuous 
and 
Measurable 
Eigenfunctions
of 
Linearly 
Recurrent 
Dynamical 
Systems, 
Journal 
of 
London 
Mathematical 
Society 
(3)
, 
67
(2003)
, 
790-804.
(28) 
P. 
Dartnell, 
A. 
Maass, 
F. 
Schwartz, 
Combinatorial 
constructions 
associated 
to 
the
dynamics 
of 
onesided 
cellular 
automata, 
Theoretical 
Computer 
Science 
304 
(2003)
, 
485-497.
(29) 
A. 
Maass, 
S. 
Mart´inez, 
Evolution 
of 
probability 
measures 
by 
cellular 
automata 
on
algebraic 
topological 
Markov 
chains, 
Biological 
Research 
36 
(2003)
, 
107-112.
(30)B. 
Host, 
A. 
Maass, 
S. 
Mart´inez)
, 
Uniform 
Bernoulli 
measure 
in 
dynamics 
of 
permutative
cellular 
automata 
with 
algebraic 
local 
rules, 
Discrete 
and 
Continuous 
Dynamical 
Systems 
9,
no. 
6, 
(2003)
, 
1423-1446.
(31) 
F. 
Blanchard, 
F. 
Durand, 
A. 
Maass, 
Substitution 
minimal 
systems 
and 
other 
examples
with 
countable 
scrambled 
sets, 
Nonlinearity 
17 
(2004) 
817-833.
(32) 
W. 
Huang, 
A. 
Maass, 
P.-P. 
Romagnoli, 
X. 
Ye, 
Entropy 
pairs 
and a 
local 
Abramov
formula 
for 
the 
entropy 
of 
open 
covers, 
Ergodic 
Theory 
and 
Dynamical 
Systems 
24 
(2004)
1127-1153.
(33) 
A. 
Maass, 
A. 
Moreira, 
TIP: 
Protein 
Backtranslation 
Aided 
by 
Genetic 
Algorithms,
Bioinformatics 
20 
(13) 
(2004) 
2148-2149.
(34) 
W. 
Huang, 
A. 
Maass, 
X. 
Ye, 
Sequence 
entropy 
pairs 
for a 
measure, 
Annales 
de 
l’Institut
Fourrier 
54, 
4, 
(2004) 
1007-1030.
(35) 
X. 
Bressaud, 
F. 
Durand, 
A. 
Maass, 
Necessary 
and 
sufficient 
conditions 
to 
be 
an 
eigen
value 
for 
linearly 
recurrent 
dynamical 
Cantor 
systems, 
Journal 
of 
the 
London 
Mathematical
Society 
72, 
3, 
(2005) 
799-816.
5 


(36) 
M.I. 
Cortez, 
J.M. 
Gambaudo, 
A. 
Maass, 
Rotation 
topological 
factors 
of 
minimal 
Zdactions 
on 
the 
Cantor 
set, 
to 
appear 
Transactions 
American 
Mathematical 
Society 
(2006)
. 
(37) 
X. 
Bressaud, 
A. 
Maass, 
S. 
Mart´inez, 
J. 
San 
Mart´in)
, 
Approximation 
of 
standard 
filtrations 
of 0 - 1 
valued 
sequences, 
to 
appear 
in 
Annals 
of 
Probability, 
Vol. 
34, 
No. 4 
(July 
2006)
. 
(38) 
A. 
Maass, 
S. 
Mart´inez, 
M. 
Pivato, 
R. 
Yassawi, 
Attractiveness 
of 
the 
Haar 
measure 
for 
linear 
cellular 
automata 
on 
Markov 
subgroups, 
to 
appear 
in 
Dynamics 
and 
Stochastics: 
Festschrift 
in 
honour 
of 
Michael 
Keane 
(Lecture 
Notes 
Monograph 
Series 
of 
the 
Institute 
for 
Mahematical 
Statistics)
. 
(39) 
A. 
Maass, 
S. 
Mart´inez, 
M. 
Pivato, 
R. 
Yassawi, 
Asymptotic 
randomization 
of 
subgroup 
shifts 
by 
linear 
cellular 
automata, 
to 
appear 
Ergodic 
Theory 
and 
Dynamical 
Systems 
(2006)
. 
(40) 
E. 
P´ecou, 
A. 
Maass, 
D. 
Remenik, 
J. 
Briche, 
M. 
Gonz´alez, A 
Mathematical 
Model 
for 
Copper 
Homeostasis 
in 
Enterococcus 
hirae, 
to 
appear 
Mathematical 
Bioscience 
(2006)
. 
Preprints 
and 
submitted 
papers 

(41) 
V. 
Acu˜na, 
G. 
Didier, 
A. 
Maass, 
Centered 
Codes, 
submitted 
(2005)
. 
(42) 
A. 
Maass, 
S. 
Mart´inez, 
M. 
Sobotka, 
Limit 
measures 
for 
affine 
cellular 
automata 
on 
topological 
Markov 
subgroups, 
submitted 
(2006)
. 
(43) 
M. 
Colombres, 
A. 
Aravena, 
R. 
Assar, 
I. 
Alfaro, 
A. 
Maass, 
S. 
Mart´inez, 
N. 
C. 
Inestrosa, 
Genome-Wide 
Identification 
of 
Novel 
Wnt 
Target 
Genes 
in 
the 
Human 
Genome, 
preprint 
(2006)
. 
(44) 
I. 
Alfaro, 
A. 
Aravena, 
R. 
Assar, 
M. 
Colombres, 
N. 
C. 
Inestrosa, 
A. 
Maass, 
S. 
Mart´inez, 
Application 
of 
CART 
method 
to 
the 
identification 
of 
novel 
Wnt 
target 
genes 
in 
the 
human 
genome, 
preprint 
(2006)
. 
(45) 
X. 
Bressaud, 
F. 
Durand, 
A. 
Maass, 
Continuous 
and 
measurable 
eigenvalues 
of 
finite 
rank 
Bratteli-Vershik 
dynamical 
systems, 
preprint 
(2006)
. 
(46) 
T. 
Downarowicz, 
A. 
Maass, 
Finite 
rank 
Bratteli-Vershik 
diagrams 
are 
expansive, 
submitted 
(2006)
. 
(47) 
A. 
Maass, 
S. 
Shao, 
Structure 
of 
bounded 
sequence 
entropy 
systems 
and 
sequence 
entropy 
tuples, 
submitted 
(2006) 
Thesis 

(1) 
A. 
Maass, 
Complejidad 
l´imite 
para 
una 
m´aquina 
de 
Turing, 
Engineering 
thesis 
(1990)
. 
(2) 
A. 
Maass, 
Contributions 
`
a 
l’´etude 
dynamique 
des 
automates 
cellulaires 
unidimensionnels, 
PhD 
thesis 
(1994)
. 
(3) 
A. 
Maass, 
Dynamique 
des 
Automates 
Cellulaires 
Unidimensionnels 
et 
Complexit´
e 
en 
Dynamique 
Topologique, 
Habilitation 
`
a 
diriger 
la 
recherche 
(2000)
. 
6



Edition 
of 
Books 

(1) 
F. 
Blanchard, 
A. 
Maass, 
A. 
Nogueira, 
Topics 
in 
Symbolic 
Dynamics 
and 
Applications, 
London 
Mathematical 
Society, 
Lecture 
Notes 
Series 
279, 
Cambridge 
University 
Press, 
2000. 

(2) 
A. 
Maass, 
S. 
Mart´inez, 
J. 
San 
Mart´in, 
Dynamics 
and 
Randomness, 
Non-Linear 
Phenomena 
and 
Complex 
Systems, 
Volume 
7, 
Kluwer 
Academic 
Publishers, 
2002. 

(3) 
A. 
Maass, 
S. 
Mart´inez, 
J. 
San 
Mart´in, 
Dynamics 
and 
Randomness 
II, 
Non-Linear 
Phenomena 
and 
Complex 
Systems, 
Volume 
8, 
Kluwer 
Academic 
Publishers, 
2004. 

(4) 
A. 
Maass, 
E. 
P´ecou, 
Sa. 
Mart´inez, 
Mathematical 
and 
Computational 
Methods 
in 
Biology, 
Collection 
Travaux 
en 
Cours 
65, 
Hermann 
Editeurs, 
Paris, 
2005, 
300 
p. 

Organization 
of 
International 
Conferences 

(1) 
CIMPA–UNESCO 
Summer 
School 
on 
Symbolic 
Dynamics 
and 
Applications, 
Temuco– 
Chile, 
January 
1997. 

(2) 
Workshop 
on 
Dynamics 
and 
Randomness, 
Santiago, 
Chile, 
December 
2000. 

(3) 
Workshop 
on 
Dynamics 
and 
Randomness 
II, 
Santiago, 
Chile, 
December 
2002. 

(4) 
CIMPA 
Summer 
School 
on 
Mathematical 
and 
Computational 
methods 
in 
Biology, 
Valdivia– 
Chile, 
January 
2004. 

(5) 
Workshop 
on 
Information 
and 
Randomness, 
Santiago, 
Chile, 
December 
2004. 

(6) 
III 
Chilean 
Workshop 
on 
Bioinformatics, 
Santiago, 
Chile, 
September 
2005. 

Invitations 
to 
International 
Conferences 

(1) I 
Escuela 
de 
Verano 
en 
F´isica 
Estad´istica y 
Sistemas 
Cooperativos, 
Santiago, 
Chile, 
1988. 

(2) 
II 
Taller 
de 
Redes 
Neuronales y 
Aut´omatas, 
Bogot´a, 
Colombia, 
1989. 

(3) 
Workshop 
on 
Cooperative 
Systems 
and 
Cellular 
Automata, 
Les 
Houches, 
France, 
1992. 

(4) 
Workshop 
on 
Symbolic 
Dynamics, 
MSRI 
(Mathematical 
Science 
Research 
Institute) 
Berkeley, 
1992. 

(5) 
Workshop 
on 
Number 
Theory 
and 
Ergodic 
Theory, 
Math. 
Research 
Center 
University 
of 
Warwick, 
1994. 

(6) 
Fourth 
School 
on 
Statistical 
Physics 
and 
Cooperative 
Systems 
(FIESTA 
94)
, 
1994. 

(7) 
Workshop 
on 
Symbolic 
Dynamics, 
University 
of 
Maryland 
at 
College 
Park, 
1995. 

(8) 
Second 
Latin 
American 
Symposium 
(LATIN’95)
, 
Chile, 
1995. 

(9) 
Workshop 
on 
Lattice 
Dynamics, 
Universit´
e 
de 
Paris 
VI, 
1995. 

(10) 
Workshop 
on 
Ergodic 
Theory, 
CIRM–France, 
1995. 

(11) 
Fifth 
School 
on 
Complex 
Systems 
(FIESTA 
96)
, 
1996. 

(12) I 
Congreso 
Latino 
Americano 
de 
Matem´aticos, 
2000, 
IMPA, 
Brasil. 

(13) 
L’ODYSEE 
DYNAMIQUE, 
Marseille-Luminy 
(Centre 
de 
formation 
du 
CNRS)
, 
2001. 

(14) V 
Joint 
Meeting 
AMS-SMM, 
2001, 
Morelia, 
MEXICO. 

(15) 
AUTOMATA 
2002, 
Eighth 
International 
Workshop 
on 
Cellular 
Automata, 
Prague, 
2002. 

(16) 
Spring 
2004 
Maryland-Penn 
State 
Dynamics 
Workshop, 
Washington, 
2004. 

(17) 
Max-Planck-Institut 
f¨ur 
Mathematik, 
Bonn, 
Germany: 
Algebraic 
and 
Topological 
Dynamics 
activity, 
2004. 

7 


(18) 
8th 
Brazilian 
School 
of 
Probability, 
Ubatuba, 
2004. 
(19) 
1st 
Regional 
Meeting 
of 
Probability 
and 
Statistics, 
B. 
Aires, 
2004. 
(20) 
ICALP 
2004, 
Turku, 
Finland. 
(21) 
Visegard 
Conference 
on 
Dynamical 
Systems, 
Prague, 
July 
2005. 
(22) 
IV 
Workshop 
on 
Dynamical 
Systems, 
San 
Pedro 
de 
Atacama, 
August 
2005. 
Invited 
Positions 

(1) 
Institut 
de 
Math´ematiques 
de 
Luminy, 
CNRS-France 
(each 
year 
since 
1994)
. 
(2) 
University 
of 
Maryland 
at 
College 
Park, 
USA: 
1995, 
2004. 
(3) 
University 
of 
Tor´un, 
Poland: 
1993. 
(4) 
University 
of 
Palermo, 
Italy: 
1993. 
(5) 
University 
of 
Sao 
Pablo, 
Brasil: 
1997. 
(6) 
University 
of 
Paris 
VI 
and 
University 
of 
Marne 
la 
Vall´ee, 
France: 
1998, 
2000, 
2001. 
(7) 
University 
of 
Buenos 
Aires, 
Argentina: 
1999. 
(9) 
University 
of 
Brest, 
France: 
1994. 
(10) 
Instituto 
de 
Investigaci´on 
en 
Comunicaci´on 
Optica, 
Mexico: 
1998, 
2001. 
(11) 
University 
d’Aix-Marseille 
I, 
France: 
1992-1993. 
(12) 
University 
Charles 
at 
Prague, 
Check 
Republic: 
1997. 
(13) 
Ecole 
Normale 
Superieur 
de 
Lyon, 
France: 
1991, 
1993, 
1998, 
2000. 
(14) 
University 
of 
Haute 
Picardie 
Jules 
Verne, 
France: 
1999, 
2000, 
2002, 
2005. 
(15) 
University 
of 
Bourgogne, 
France: 
2002, 
2004. 
(16) 
University 
of 
Science 
and 
Technology 
of 
China: 
2001. 
(17) 
Max 
Planck 
Institute 
Bonn, 
Germany: 
2004. 
8