I am interested in mathematical
problems that arise from practical
questions! I have a professional
degree in Mathematical Civil
Engineering (i.e. Applied Mathematics)
from the Universidad de Chile,
and an M.A. and Ph.D. in Mathematics from the University of Wisconsin -
Madison and The Ohio State University - Columbus (Go
Bucks!), respectively. My Ph.D. thesis focussed on multi-variate
generating functions
and the asymptotic analysis of their coefficients. After my graduate
work, however, my research has mostly focused on applied
and discrete probability problems related to the Analysis of
Algorithms, Computational Biology and Genomics. I am PI of the NSF
grant #0805950.
Publications.
Scientific papers.
- Unifrac:
an effective distance metric for microbial
community comparison. [main
file] [supplement]
[link]
C. Lozupone, M. Lladser, D.
Knights, J. Stombaugh, R. Knight.
Multidisciplinary Journal of Microbial Ecology, 5:169–172
(2011)
- Chiral Histidine
selection by D-ribose RNA. [main
file] [supplement]
[link]
M. Illangasekare, R. Turk, G. C. Peterson, M. Lladser, M. Yarus. RNA Journal,
16: 2370-2383 (2010)
- Natural and
artificial RNAs occupy the same restricted region of sequence space.
[main
file] [link]
R. Kennedy, M. Lladser, Z. Wu,
C. Zhang, M. Yarus, H. De Sterck, R.
Knight. RNA Journal, 16(2): 280–289 (2010)
- Comparison
of methods for estimating the
nucleotide substitution matrix. [main
file] [link]
M. Oscamou, D. McDonald, V.-B. Yap, G. A. Huttley, M.
Lladser, R. Knight. BMC Bioinformatics, 9:511 (2008)
- Information,
probability, and the
abundance of the simplest RNA active sites. [main file] [link]
R. Kenney, M. Lladser, M.
Yarus, R. Knight. Front Biosci. 13:6060-71 (2008)
Mathematical/Applied
Mathematics papers.
- Extrapolation
of urn models via Poissonization: Accurate measurements of the
microbial unknown. [pdf]
[link]
M. Lladser, R. Gouet, J.
Reeder. PloS ONE, 6(6): e21105 (2011)
- Occupancy
distributions in Markov chains
via Doeblin's ergodicity coefficient. [pdf]
[link]
S. Chestnut, M. Lladser.
Discrete
Mathematics and Theoretical Computer Science
Proceedings, AM:79-92 (2010)
- Prediction
of unseeing proportions in urn models with
restricted sampling. [pdf]
[link]
M. Lladser. Proceedings of
the 2009 Analysis of Algorithms and
Combinatorics workshop, pp. 85-91 (2009)
- Multiple
pattern matching: A
Markov chain approach. [pdf]
[link]
M. Lladser, M.D. Betterton,
R. Knight. J
Math Biol. 56(1-2):51-92 (2008)
- Markovian embeddings of
general random strings. [pdf]
[link]
M. Lladser.
Proceedings of the 2008 Analysis of Algorithms
and Combinatorics workshop, pp. 183-190 (2008)
- Semi-supervised learning
of a Markovian metric. [pdf]
[link]
A.S. Bijral, M. Lladser, G.
Grudic. 2008 SIAM
Conference on Data Mining Conference, pp. 466-471 (2008)
- Uniqueness of polynomial
cannonical representations. [pdf]
[link]
M. Lladser. 2007 Conference
on Analysis of Algorithms, Discrete
Mathematics and Theoretical Computer Science
Proceedings, AH, 463-470 (2007)
- Minimal Markov chain
embeddings of pattern problems [pdf]
[link]
M. Lladser. Proceedings of
the 2007 Information Theory and Applications
Workshop, University of California, San Diego (2007)
- Mixed powers of
generating functions. [pdf]
[link]
M. Lladser. Discrete
Mathematics and Theoretical Computer Science
Proceedings, AG, 171-182 (2006)
- Uniform
formulae for
coefficients of meromorphic functions in two variables. Part I. [pdf]
[link]
M. Lladser. SIAM J.
Discrete Math. 20, 811-828 (2006)
- Domain of
attraction of the
quasi-stationary distributions of the Ornstein-Uhlenbeck process. [pdf]
[link]
M. Lladser and J. San
Martin. Journal of Applied Probability,
Vol. 37, No. 2, 511-520 (2000)
Book
Chapter.
- M. Lladser, R.
Knight. Mathematical approaches for
describing microbial populations: practice and theory for extrapolation
of rich environments. To appear in “The Human Microbiota”,
published by Wiley-Blackwell Publishing and edited by D. Fredricks
(accepted)
Theses.
- Asymptotic
enumeration via
singularity analysis. [pdf]
M. Lladser. Ph.D.
dissertation, The Ohio State University
(2003)
Graduate Advisor: Dr. Robin Pemantle
- Dominio de
atracción de las distribuciones quasi-estacionarias del processo
del Ornstein-Uhlenbeck.
M. Lladser. Thesis
for the professional degree of
Mathematical Civil Engineering, Universidad de Chile (1996)
Undergraduate Advisor: Dr. Jaime San Martin
Former
students theses.
- Approximating Markov
chain occupancy distributions. [link]
Stephen Chestnut, M.S. in Applied Mathematics, University of Colorado
(2010)
- Fairness Analysis via
Poissonization. [link]
Geoffrey C.L. Peterson, M.S. in Applied Mathematics,
University of Colorado (2010)
- Calculating RNA motif probabilities and recognizing
patterns in sequence data. [pdf]
R. Kennedy, B.S. in Computer Science, University of Colorado (2009)
Books.
Variables Aletorias y
Simulación Estocástica (translation: Random Variables and Stochastic Simulation)
[link]
Author: M. Lladser
Editor: Noreste Juan Carlos Sáez, Chile
Edition: First.
E-book
download
Hardcopy release date: August 31, 2011
Language: Spanish
Pages: 200 (estimated)
Edited Volumes.
Algorithmic
Probability and Combinatorics. [link]
AMS Contemporary Mathematics, Volume 520, 240 pp. (2010)
Editors: M. Lladser,
R. Maier, M.
Mishna, A. Rechnitzer.
Recent
Conferences/Seminars/Workshops.
- 22th International Meeting on Probabilistic,
Combinatorial, and Asymptotic Methods in the Analysis of Algorithms,
Bedlewo, Poland, JUN/2011
- 22nd International Meeting on Probabilistic,
Combinatorial, and Asymptotic Methods in the Analysis of Algorithms,
Bedlewo, Poland, JUN/2011 (speaker: J. Hampton)
- 15th International Conference on Random
Structures and Algorithms, Emory University, Atlanta, JUN/2011
- Seminar of Stochastic Modeling, Center of
Mathematical Modeling, Chile, JUN/2011
- 2011 Frontier Probability Days, Salt Lake
City, Utah, MAR/2011
- Mathematics Colloquium, Iowa State University,
MAR/2011
- Statistics Seminar, Colorado State University,
Fort Collins, FEB/2011
- Science Short Presentation, CIMB meeting,
DEC/2010
- CIMBposium Poster Session, University of
Colorado - Boulder, NOV/2010 (speaker: J.
Hampton)
- Bioinformatics Supergroup, University of
Colorado - Boulder, OCT/2010
- Combinatorics and Probability Seminar,
Department of Mathematics, University of Pennsylvania, SEP/2010
- 21st International Meeting on Probabilistic,
Combinatorial, and Asymptotic Methods in the Analysis of Algorithms,
Vienna, Austria, JUN/2010
- Séminaire d'algorithmique,
Département d'informatique, University of Caen, France, JUN/2010
- Probability and Statistics Seminar, Department
of Mathematics, University of Colorado - Boulder, APR/2010
- SIAM's Graduate Chapter, University of
Colorado - Boulder, MAR/2010 (speaker: S. Chestnut)
- Combinatorics Seminar, Laboratoire Bordelais de Recherche
en Informatique, Université Bordeaux 1, Bordeaux, France,
FEB/2010
- Butcher Symposium on Genomics and Biotechnology,
University of Colorado, NOV/2009
- Bioinformatics Supergroup, University of Colorado,
NOV/2009 (speaker: G. C. Peterson)
- 20th International Conference on Probabilistic,
Combinatorial,
and Asymptotic Methods in the Analysis of Algorithms, Fréjus,
France,
JUN/09
- Fields-MITACS Summer School in Applied Probability,
Department of Mathematics, University of Carleton, Canada, MAY/09
(speaker: A. Sen)
- Fields-MITACS Summer School in Applied Probability,
Department
of Mathematics, University of Carleton, Canada, MAY/09 (speaker: J.
Hampton)
- Fields-MITACS Summer School in Applied Probability,
Department
of Mathematics, University of Carleton, Canada, MAY/09 (speaker: S.
Chestnut)
- Applied Mathematics Colloquium, University of Colorado,
APR/2009
- Department of Informatics, University of Caen, France,
MAR/2009
- 2009 Analysis of Algorithms and Combinatorics Workshop,
New York, JAN/2009
- Bioinformatics Supergroup, University of Colorado, OCT/2008
- Probability Seminar, Centro de Modelamiento
Matemático, Universidad de Chile, JUN/2008
- Centro Innovo, Universidad de Santiago de Chile, JUN/2008
- Departamento de Educación Matemática,
Universidad Católica Silva Henríquez, Chile, JUN/2008
- International Conference of Analysis of Algorithms,
Maresias, Brazil, APR/2008
- 2008 Analysis of Algorithms and Combinatorics Workshop,
San Francisco, JAN/19, 2008
- The John Knopfmacher Centre for Applicable Analysis and
Number Theory,
University of Witwatersrand, Johannesburg, South Africa, NOV/01-30, 2007
- CO/WY American Statistical Association, Fall Meeting,
OCT/26, 2007
- Dynamical Systems Seminar, Applied Mathematics Department,
University of Colorado, OCT/11, 2007
- AMS Special Session on 'Algorithmic Probability and
Combinatorics", DePau University, OCT/06, 2007
- ECE Department, University of Illinois at
Urbana-Champaign, OCT/04, 2007
- Combinatorics and Probability Seminar, Mathematics
Department, University of Pennsylvania, SEP/11, 2007
- Probability Seminar, Center of
Mathematical Modeling, Universidad de Chile, AUG/29,
2007
- Discrete Mathematicas Seminar, Center of
Mathematical Modeling, Universidad de Chile, AUG/24,
2007
- Session on Simulation, 32nd Conference on SPA, University
of Illinois at Urbana-Champaign, AUG/10, 2007
- Session on Trees, 32nd Conference on SPA, University of
Illinois at Urbana-Champaign, AUG/09, 2007
- 2007 International Conference on Analysis of Algorithms,
Juan-le-Pins, France, JUN/17-22, 2007
- 2007 Frontier Probability Days, University of Colorado,
Colorado Springs, MAY/21-22, 2007
- Information Theory and Applications Workshop, University
of California, San Diego, JAN/29-FEB/02, 2007
- Bioinformatics Supergroup, University of Colorado at
Boulder, OCT/16, 2006
- Fourth Colloquium on
Mathematics and Computer Science: Algorithms, Trees, Combinatorics and
Probabilities. Nancy, SEP/18-22, 2006
- 31st Conference on Stochastic Processes and their
Applications. Paris, JUL/17-21, 2006
- XXXVI International Saint Flour Summer School in
Probability. JUL/02-15, 2006
- Front Range Probability Day, University of Colorado at
Boulder. MAY/08, 2006
- Mathematics Colloquium, University of Colorado at Colorado
Springs. APR/13, 2006
- 2005 NIST Fall Symposium. NOV/14, 2005
- Prob/Stat Seminar, University of Colorado at Boulder.
OCT/05, 2005
- IMA: New
Directions in Probability Theory. AUG/05-06, 2005
- Cornell:
Summer School in Probability. JUL/10-23, 2005
- 2005
International Conference on the Analysis of Algorithms. JUN/06-10, 2005
- First
Young Researchers Workshop in Mathematical Biology. MAR/29-APR/01,
2005
Looking
for thesis advisor? ...
If you are an APPM PhD or Master student, or an IQ Biology students and
have some interests in
probability theory or its applications (e.g. to computer science,
engineering, bioinformatics, etc ) please feel free to contact me.
Advisory for students in other departments or programs is also very
welcome and
only subject to my interests and time availability. When it comes to
find a
dissertation problem you can come up with one of your own, I can give
you one, or we can both figure out a problem to work on that it is of
interest for both of us!
"I was as
working
on the proof of one of my poems all the morning, and
took out a comma. In the
afternoon I put it back
again."
-
CONVERSATION
