Janko Gravner
Home page:
http://www.math.ucdavis.edu/~gravner/
Position: Professor
Year joining UC Davis: 1992
Degree: Ph.D., 1991, University of Wisconsin, Madison
Refereed publications: Via
Math Reviews
Recent publications: Via
math arXiv
Research
Professor Gravner studies deterministic and random
cellular
automata.
These mathematical objects describe configurations which evolve by a repeated update of a local rule. Cellular automata have been used to model many natural
phenomena and have offered insights into fundamental organizational principles in many scientific fields. From a more abstract perspective, cellular automata
are a suitable tool used to characterize and catalog local dynamics which generate a prescribed global phenomenon. An important feature of this field is the interplay between rigorous mathematical analysis and large–scale computation, data analysis,and visualization.
Selected publications
[1] Gravner, J., and J. Quastel. "Internal DLA and the Stefan problem," Annals of Probability, 28(4):1528-1562, (2000),
Full Text.
[2] Gravner, J., and D. Griffeath. "Random growth models with polygonal shapes," Annals of Probability, 34(1):181-218, (2006),
Full Text.
[3] Gravner, J., Pitman, D., and S. Gavrilets. "Percolation on fitness landscapes: effects of correlation, phenotype, and incompatibilities," Journal of Theoretical Biology, 248(4):627-645, (2007),
Full Text.
[4] Gravner, J., and D. Griffeath. "Modeling snow-crystal growth: a three-dimensional approach," Physical Review E, 79: 011604, 1-18, (2009),
Full Text.
[5] Gravner, J., and D. Griffeath. "Asymptotic densities for Packard Box rules," Nonlinearity, 22(8):1817-1846, (2009),
Full Text.
Last updated: 2012/05/08
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