Gregory Budzban

Department of Mathematics
Southern Illinois University


Articles in Journals and Refereed Conference Proceedings

The following papers are available as PDF files.

  1. Markov Random Fields on a SIMD Machine for Global Region Labelling, Proceedings of the SPIE, Vol. 1470, pp. 175-182, (1991). (with J. DeCatrel)  
  2. A Locally Connected Parallel Network for Real-Time Target Detection, invited paper, 20th AIPR Workshop: Computer Vision Applications, Joan B. Lurie, Editor, Proc. SPIE 1623, pp. 209-214 (1992). (with A. Forman and R. Skoblick)  
  3. Convolution Products of Non-identical Distributions on A Topological Semigroup, Journal of Theoretical Probability, Vol. 5, No. 2, pp. 283-307 (1992). (with A. Mukherjea)  
  4. Necessary and Sufficient Conditions for the Convergence of Convolution Products of Non-identical Distributions on a Finite Abelian Semigroup, Journal of Theoretical Probability, Vol. 7, No. 3, pp. 635-646 (1994).  
  5. Hierarchical Markov Random Fields with Stable Points, Proc. SPIE, Vol. 2304, pp. 105-110 (1994). (with T. Stirewalt)  
  6. Markov Random Fields with Stable Points for Region Labelling, Proceedings of Neural, Parallel, and Scientific Computations, Vol. 1, pp. 69-72 (1995). (with T. Stirewalt)  
  7. The Structure of Limit Measures and their Supports on Topological Semigroups," Semigroup Forum, Vol. 52, pp. 25-35 (1996). (with M. Beintema)  
  8. Some Results Concerning Convergence of Convolution Products of Probability Measures on Discrete Semigroups, Journal of Theoretical Probability, Vol. 10, No. 1, pp. 185-200 (1997). (with I. Ruzsa)  
  9. Semigroups of Binary Stochastic Matrices and the Convergence of Non-homogeneous Markov Chains," Semigroup Forum, Vol. 57, pp. 348-358 (1998). (with M. Beintema)  
  10. The Effect of Stable Points on the Convergence Transitions in Markov Random Fields, Proceedings of IEEE International Conference on Image Processing, pp. 77-79 (1998). (with W. Casey)  
  11. A Semigroup Approach to the Road Coloring Problem, Contemporary Mathematics, Vol. 261, pp. 195-207 (2000). (with A. Mukherjea)  
  12. 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)  
  13. Product Subsemigroups of Completely Simple Semigroups, in “Lectures on Stochastic Difference Equations," Abo Akademi Reports in Computer Science and Mathematics, Vol. 35, pp. 36-45 (2004). (with A. Mukherjea)  
  14. Semigroups and the Generalized Road Coloring Problem, Semigroup Forum, Vol. 69, pp. 201-208 (2004).  
  15. Quaternionic Algebras with Applications to the Road Coloring Problem, invited paper, Proceedings of the Workshop on Semigroups and Automata, ICALP 2005, Lisbon. (with P. Feinsilver)  
  16. Convolution Products of Probability Measures on Completely Simple Semigroups, Journal of Mathematical Analysis and Applications, Vol. 317, pp. 698-706, (2006).  
  17. Completely Simple Semigroups, Lie Algebras, and the Road Coloring Problem, Semigroup Forum, Vol. 74, pp. 206-226 (2007). (with P. Feinsilver)  
  18. A Vector Space Approach to the Road Coloring Problem, Russian Mathematics (Iz. VUZ), Vol. 54, No. 1, pgs. 10-15 (2010). (with P. Feinsilver)  
  19. Periodic Digraphs and the Generalized Road Coloring Problem, Applicable Algebra in Engineering, Communication and Computing, Vol. 22, pp. 21-35 (2011). (with P. Feinsilver)
 
  20. Convolution Products of Probability Measures on a Compact Semigroup with Applications to Random Measures , Contemporary Mathematics, Vol. 516, pp. 93-98 (2010). (with G. Högnas)  
  21. A Hierarchical Structure of Transformation Semigroups with Applications to Probability Limit Measures, Journal of Difference Equations and Applications, (to appear) (with P. Feinsilver)  
  22.

Convolution Products of Probability Measures on Finite Completely Simple Semigroups, in preparation.

 
  23. The Road Coloring, the Algebra Project, and the Writing of K-12 Curriculum Based on ‘Mathematically Rich Experiences’, (to be submitted).  



Home Page: http://www.math.siu.edu/budzban/