Research
My
area of
specialization is probability theory with a background in stochastic
processes and a later emphasis in problems
related to discrete probability, asymptotic enumeration, analytic
combinatorics and generating functions. I have a variety of other
interests (some of them interdisciplinary) that include patterns
in random strings, automata theory, bioinformatics and computational
molecular biology.
Refereed
journal and proceedings publications
- Information, probability, and the
abundance of the simplest RNA active sites
R. Kenney, M. Lladser, M. Yarus, R. Knight. To appear in Frontiers of
Bioscience, 2008
- Semi-supervised learning
of a Markovian metric (extended abstract)
A.S. Bijral, M. Lladser, G. Grudic. To appear in the 2008 SIAM
Conference on Data Mining Conference
- Uniqueness of polynomial
cannonical representations (extended abstract)
M. Lladser. To appear in the proceedings of the 2007 International
Conference on Analysis of Algorithms, 2007
- Multiple
pattern matching: A
Markov chain approach
M. Lladser, M.D. Betterton, R. Knight.
To appear in the Journal of Mathematical Biology
- Mixed powers of
generating functions (extended abstract)
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
M. Lladser. SIAM J. Discrete Math. 20, 811-828, 2006
- Asymptotic
enumeration via
singularity analysis
M. Lladser. Ph.D. dissertation, The Ohio State University, 227 p., 2003
Graduate Advisor: Robin Pemantle
- Domain of attraction of the
quasi-stationary distributions of the Ornstein-Uhlenbeck process
M. Lladser and J. San Martin. Journal of Applied Probability,
Vol. 37, No. 2, 511-520, 2000
Undergraduate Advisor: Jaime San Martin
Non-refereed publications
Submitted
- The diameter of random
Cayley digraphs of given degree
M. Lladser, P. Potocnik, J. Siran, J. Siagiova, M. Wilson - Submitted
In preparation
- Uniform
formulae for
coefficients of meromorphic functions in two variables, part II: the
Airy phenomena
M. Lladser - In preparation
- Minimal Markov chain
embeddings of pattern problems
M. Lladser - In preparation
- Gamma and Airy function
asymptotics for mixed power generating functions
M. Lladser - In preparation
Recent
Conferences/Seminars/Workshops
- 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 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 is also very welcome and
only subject to my 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.
It
happened
...
101 years ago: In 1906, Walther Hermann Nenst
formulated the III law of thermodynamics. For his work on
thermochemistry, Nenst will be awarded the Nobel prize for chemistry in
1920.
...
102 years ago: In 1905, Albert Einstein
formulated his hypothesis of light quanta. For his discovery of the law
governing the photoelectric effect, Einstein will be awarded the Nobel
prize for physics in 1921.
"I
was
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