Gregory Budzban SIUC, Mathematics Professor   Ph.D. University of South Florida 1991   Probability on Algebraic Structures   Office: Neckers A 387 Office Phone: 618-453-6561 Email: gbudzban at math.siu.edu Web Page: www.math.siu.edu/budzban Home Page: http://www.math.siu.edu/budzban/personal.html

Research Interests

Random walks on algebraic structures, in particular, matrix semigroups. Semigroup approaches to discrete dynamical systems, especially the road coloring problem. Development of mathematics curriculum based on "Mathematically-rich" experiences.

Selected Publications

1. A Semigroup Approach to the Road Coloring Problem, Contemporary Mathematics, Vol. 261, pp. 195-207 (2000). (with A. Mukherjea).
2. Subsemigroups of Completely Simple Semigroups and Weak Convergence of Convolution Products of Probability Measures, Semigroup Forum, Vol. 68, pp. 400-410 (2004). (with A. Mukherjea).
3. Semigroups and the Generalized Road Coloring Problem, Semigroup Forum, Vol. 69, pp. 201-208 (2004).  
4. Convolution Products of Probability Measures on Completely Simple Semigroups, Journal of Mathematical Analysis and Applications, Vol. 317, pp. 698-706, (2006).
5. Completely Simple Semigroups, Lie Algebras, and the Road Coloring Problem, accepted for publication in Semigroup Forum. (with P. Feinsilver).