Paul Cull
Recent Publications

Books

• Difference Equations From Rabbits to Chaos Series: Undergraduate Texts in Mathematics Cull, Paul; Flahive, Mary; Robson, Robby Springer, 2005, XIV, 394 p. 16 illus., Hardcover ISBN: 0-387-23233-8
  http://www.springeronline.com/sgw/cda/frontpage/0,11855,5-10043-22-35140090-0,00.html

Journal Papers

• Paul Cull. 2009. Moore Reducibility for Regular Languages, Scientiae Mathematicae Japonicae (to appear).
• Paul Cull, Katie Walsh, Jon Wherry. 2008. Stability and Instability in One Dimensional Population Models, Scientiae Mathematicae Japonicae, (No. 2), pp 105-124. Scientiae Mathematicae Japonicae Online, 2008 pp 29-48.
• Paul Cull and Tai Hsu. 2008. Biomimic Spider Double Stereo Vision by the Walking Tree Method. Cybernetics and Systems 2008 (R. Trappl, ed.), Austrian Society for Cybernetic Studies, pp 227-231.
• Paul Cull. 2007. The Mathematical Biophysics of Nicolas Rashevsky. BioSystems 88 (Issue 3, April) pp 178-184.
• Paul Cull. 2007. Population Models: Stability in One Dimension. Bulletin of Mathematical Biology, 69 (No. 3, April), pp 989-1017.
• Xingcheng Liu, Wei Zhang, Zhongfeng Wang, Paul Cull. 2006. An Efficient Adaptive Decoding for Block Turbo Codes. WiCOM 2006: 2nd International Conference on Wireless Communications, Networking and Mobile Computing.
• Paul Cull. 2006. Difference Equations as Biological Models. Scientiae Mathematicae Japonicae, 64 (No. 2), pp 217-233. Scientiae Mathematicae Japonicae Online, e-2006 pp 965-981.
• Paul Cull and Tai Hsu. 2006. The Walking Tree Method for 3D Vision. Cybernetics and Systems 2006 (R. Trappl, ed.), Austrian Society for Cybernetic Studies, pp.193-197.
• Tai Hsu and Paul Cull. 2005. Walking Tree Method for Stereo Vision. CAINE: Proceedings of the ISCA 18th International Conference on Computer Applications in Industry and Engineering (Sergiu Dascalu, ed.), pp340-343.
• P. Cull. 2005. Enveloping Implies Global Stability. In: Difference Equations and Discrete Dynamical Systems (Allen, Aulbach, Elaydi, Sacker, eds.), World Scientific, pp 71-85.
• P. Cull. 2005. Convergence of Iterations. R. Moreno Díaz et al. (Eds.): EUROCAST 2005, LNCS 3643, pp. 457–466.
• P. Cull. 2004. Caianiello and Neural Nets. Italian Institute for Philosophy and Science. In: Imagination and rigor. Essays on Eduardo R. Caianiello's Scientific Heritage 10 years after his death. (S. Termini ed.). Springer, Milan, pp 47-61.
• K. McGown, A. Leininger, and P. Cull. 2004. Knight's Tour on Boards with Holes is NP-complete. Bulletin of the Institute of Combinatorics and its Applications, Bulletin of the Institute of Combinatorics and its Applications, 45 pp 33-40.
• Tai Hsu and Paul Cull. 2004. Parallel Walking Tree Method for Sequence Recombination. ISCA 17th Parallel and Distributed Computing Systems. (D. Bader and A. Khokhar, eds.), pp7-12.
• Paul Cull. 2004. Computer Models and Genetic Systems. Cybernetics and Systems 2004 (R. Trappl, ed.), Austrian Society for Cybernetic Studies, pp.129-134.
• Jeffery Cavener, Paul Cull, James Holloway, Tai-Ching Hsu. 2004. Walking Tree Heuristics for Comparative Genomic Alignments. Mathematical Biosciences, 188 pp207-219.
• Tai Hsu and Paul Cull. 2003. Fast Walking Tree Method via Recurrence Reduction for Biological String Alignment. SCI 2003 7th World MultiConference Systemics, Cybernetics, and Informatics, Vol. XIV, pp228-233.
• Paul Cull and Tai Hsu. 2003. Recent Advances in the Walking Tree Method for Biological Sequence Alignment. Computer Aided Systems Theory-EUROCAST 2003. Springer, Lecture Notes in Computer Science 2809, pp349-359.
• Paul Cull. Stability in One-Dimensional Models. 2003. Scientiae Mathematicae Japonicae, 58 pp349-357. Scientiae Mathematicae Japonicae Online, 8 pp349-357.
• R.M. Capocelli and P. Cull. 2003. Rounding the Solutions of Fibonacci-like Difference Equations. Fibonacci Quarterly 41 pp133-141.
• Paul Cull and Tai Hsu. 2003. Recent Advances in the Walking Tree Method for Biological Sequence Alignment. EUROCAST 2003. Universidad de Las Palmas de Gran Canaria, p150-151.
• R.M. Capocelli and P. Cull, "Rounding the Solutions of Fibonacci-Like Difference Equations," Fibonacci Quarterly, 2002.
• P. Cull. 2002. Linear Fractionals - Simple Models with Chaotic-Like Behavior, in Computing Anticipatory Systems - CASYS 2001 (D. Dubois, ed.), AIP Conference Proceedings 627, American Institute of Physics, pp170-181.
• Luca G. Tallini and Paul Cull, "Neural Networks for Decoding Error-Correcting Codes," Italian Journal of Pure and Applied Mathematics, in press, 2001.
• T. Amoth, P. Cull, and P. Tadepalli, "On Exact Learning of Unordered Tree Patterns," Machine Learning, 44, 211-243, 2001.
• R. Hangartner and P. Cull, "Probabilistic Computation in Neuromime Networks," Biosystems, 58, pp. 167-176, 2000.
• P. Cull and I. Nelson, "Error-Correcting Codes on the Towers of Hanoi Graphs," Discrete Mathematics, 208-209, pp. 157-175, 1999.
• P. Cull and I. Nelson, "Perfect Codes, NP-Completeness, and Towers of Hanoi Graphs," Bulletin of the Institute of Combinatorics and its Applications, 26, pp. 13-38, 1999.
• P. Cull, "Table Automata / Finite-coFinite Languages," SIGACT News, 30, p. 41, 1999.
• P. Cull and S. Larson, "Twisted Cube Networks: Communication and Embedding," Mathematical and Computer Modelling and Scientific Computing, 1998, to appear.
• P. Cull and S. Larson, "Smaller Diameters in Hypercube-Variant Networks," International Journal of Telecommunication Systems, 10, pp. 175-184, 1998.
  
  

Conference Proceedings

• Paul Cull, Adam Murakami, and Stephanie Young. 2009. Fast Fibonacci! Proceedings of the Fibonacci Society (to appear).
• Xingcheng Liu, Zhuofeng Chen, Zhongfeng Wang, and Paul Cull. 2006. Decoding of Block Turbo Codes with RBF Networks. Proceedings of the International Conference on Sensing, Computing and Automation, Watam Press. pp. 1986-1990.
• P. Cull. 2002. Linear Fractionals - Simple Models with Chaotic-like Behavior. In Computing Anticipatory Systems - CASYS 2001 (D. Dubois, ed.), AIP Conference Proceedings 627, American Institute of Physics, pp170-181.
• P. Cull and R. Hangartner, "Should Biological Neurons be Boolean?" 5th World MultiConference Systemics, Cybernetics, and Informatics, SCI 2001, Vol. X, pp. 323-330, 2001.
• P. Cull and S. Larson, "Routing on Twisted Cube Networks," 5th World MultiConference Systemics, Cybernetics, and Informatics, SCI 2001, Vol. V, pp. 108-113, 2001.
• P. Cull and S. Larson, "Routing in Twisted Cube-Like Networks," CIC'2000 International Conference on Communications in Computing, CSREA Press, pp. 225-231, 2000.
• P. Cull and R. Hangartner, "Probabilistic Computation by Neuromime Networks," The 3rd International Workshop on Neuronal Coding '99, Osaka University, pp. 125-127, 1999.
• P. Cull and T. Hsu, "Improved Parallel and Sequential Walking Tree Methods for Biological String Alignments," SC99 (Supercomputing 99), 14 pp., 1999.
• P. Cull and J. Chaffee, "Stability in Simple Population Models," Computing Anticipatory Systems, CASYS'99, pp. 8/10-11, 1999.
• T. Amoth, P. Cull, and P. Tadepalli, "Exact Learning of Unordered Tree Patterns from Queries," Conference on Learning Theory, COLT'99, pp. 323-332, 1999.
• P. Cull and S. Larson, "Twisted Cubes with Fast Optimal Routing Algorithms, Joint Conference on Computer and Information Science, JCIS'98, Vol. IV, pp. 98-103, 1998.
• P. Cull, J.L. Holloway, and J.D. Cavener, "Walking Tree Heuristics for Biological String Alignment, Gene Location, and Phylogenies," Computing Anticipatory Systems, CASYS'98, pp. 33-34, 1998.
• T. Amoth, P. Cull, and P. Tadepalli, "Exact Learning of Tree Patterns from Queries and Counterexamples," Conference on Learning Theory, COLT '98, pp. 175-186, 1998.