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Associate Professor
Dept. of Mathematics
Brock University
St. Catharines, ON
Canada L2S 3A1
tel. (905) 688-5550, Ext. 3296
email: hfuks (AT) brocku.ca
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Welcome
My current research interests can be summarized
as theory and applications of spatially-extended discrete dynamical
systems. I am interested in mathematical modeling of physical,
biological, and social systems using cellular automata (CA), lattice
gas automata (LGA), and agent-based systems. These areas could be
categorized as follows:
- Theory:
- Additive invariants in CA
- Phase transitions in CA
- Computation in CA
- Generalization of CA
- Modeling:
- Growth of complex networks
- Models of language acquisition
- Models of vocabularies of human languages
- Software:
- Algorithms for CA simulations
- Algorithms for analysis of complex networks
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In addition to the above, in the past I published on many other subjects,
including models of vehicular traffic, models of spatial spread of
infectious diseases, and models of data networks.
If you are interested in pursuing M. Sc. degree in Mathematics
and
have
interest in any of the above topics, please do not hesitate to contact me,
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