## Recent publications by Winfried Just

### Instructional writing published online

1. W. Just, H. Callender, and M. D. LaMar; Exploring Transmission of Infectious Diseases on Networks with NetLogo; This page contains a description and provides access to the software tool IONTW that allows for exploration of network-based models of the transmission of infectious diseases. The site also contains background information on this type of models and modules for targeted explorations of them with the help of IONTW.
2. W. Just, H. Callender, M. D. LaMar and N. Toporikova; Dynamics of Disease Transmission on Networks: Slides, Student Projects, m-files, and Sample Solutions. A module for project-based student exploration.

### Preprints and research notes

1. W. Just; The steady state system problem is NP-hard even for monotone quadratic Boolean dynamical systems. Abstract Preprint
2. W. Just and B. Stigler; Efficiently Computing Groebner Bases of Ideals of Points. arXiv:0711.3475v1 Abstract Link to preprint
3. W. Just and M. Korb; (In)consistency: Some low-dimensional examples. Abstract Link to note
4. W. Just and S. Ahn; Lengths of attractors and transients in neuronal networks with random connectivities. arXiv:1404.5536 Abstract Link to preprint

### Submitted

1. W. Just; Approximating Network Dynamics: Some Open Problems.
Submitted to Discrete and Continuous Dynamical Systems B (DCDS-B). Abstract
2. B. Oduro, M. Grijalva, and W. Just; Models of disease vector control: A hysteresis-like effect.
Submitted to Bulletin of Mathematical Biology. Abstract
3. W. Just, J. Saldaña, and Ying Xin; Oscillations in epidemic models with spread of awareness.
Submitted to Journal of Mathematical Biology. Abstract.

### To appear

1. W. Just and H. Callender Highlander; Vaccination strategies for small worlds.
To appear as a chapter in the book Foundations for Undergraduate Research: A Primer for Starting Student Projects. A. Wootton, V. Peterson, C. Lee, eds., Springer Verlag. Abstract

### Articles and book chapters (since 1996)

1. W. Just and S. Ahn; Lengths of attractors and transients in neuronal networks with random connectivities. SIAM Journal on Discrete Mathematics 30(2) (2016) 912–933. Abstract Link to paper
2. W. Just, H. Callender, M. D. LaMar, and N. Toporikova; Transmission of infectious diseases: Data, models, and simulations. In Raina Robeva (ed.), Algebraic and Discrete Mathematical Methods for Modern Biology. Academic Press, 2015, 193-215. Abstract Link to online appendix
3. W. Just, H. Callender, and M. D. LaMar; Disease transmission dynamics on networks: Network structure vs. disease dynamics. In: Raina Robeva (ed.), Algebraic and Discrete Mathematical Methods for Modern Biology. Academic Press, 2015, 217-235. Abstract Link to online appendix
4. W. Just and G. A. Enciso; Ordered Dynamics in Biased and Cooperative Boolean Networks. Advances in Difference Equations 2013, 2013:313. Abstract Link to paper
5. W. Just, M. Korb, B. Elbert, and T. R. Young; Two classes of ODE models with switch-like behavior. Physica D 264 (2013) 35-48. Abstract Link to paper
6. W. Just and M. Malicki; Cooperative Boolean systems with generically long attractors II. Advances in Difference Equations 2013, 2013:268. Abstract Link to paper
7. W. Just and M. Malicki; Cooperative Boolean systems with generically long attractors I. Journal of Difference Equations and Applications 19(5) (2013) 772-795. Abstract Link to preprint
8. W. Just, S. Ahn, and D. Terman ; Neuronal Networks: A Discrete Model. In Mathematical Concepts and Methods in Modern Biology, R. Robeva and T. Hodge, eds., Academic Press, 2013, 179-211. Abstract
9. S. Ahn and W. Just; Digraphs vs. Dynamics in Discrete Models of Neuronal Networks. Discrete and Continuous Dynamical Systems - Series B (DCDS-B) 17(5) (2012) 1365-1381. Abstract Link to the paper
10. G. A. Enciso and W. Just; Analogues of the Smale and Hirsch Theorems for Cooperative Boolean and Other Discrete Systems. Journal of Difference Equations and Applications 18(2) (2012) 223-238. Abstract Link to preprint
11. W. Just and G. A. Enciso; Exponentially long orbits in Boolean networks with exclusively positive interactions. Nonlinear Dynamics and Systems Theory 11(3) (2011) 275-284. Abstract
12. W. Just and A. Nevai; A Kolmogorov-type Competition Model with Finitely Supported Allocation Profiles and its Applications to Plant Competition for Sunlight. Journal of Biological Dynamics 3(6) (2009) 599-619. DOI 10.1080/17513750902850019 Abstract Link to article
13. W. Just, S. Ahn, and D. Terman; Minimal attractors in digraph system models of neuronal networks. Physica D 237 (2008), 3186-3196. Abstract
14. W. Just and A. Nevai; A Kolmogorov-type Competition Model with Multiple Coexistence States and its Applications to Plant Competition for Sunlight. Journal of Mathematical Analysis and its Applications 348(2) (2008), 620-636. Abstract
15. D. Terman, S. Ahn, X. Wang, and W. Just; Reducing neuronal networks to discrete dynamics. Physica D 237(3) (2008) 324-338. Abstract
16. W. Just; Data requirements of reverse-engineering algorithms. Annals of the New York Academy of Sciences 1115 (2007) 142-153. Abstract Preprint
17. W. Just, M. R. Morris, and X. Sun; The evolution of aggressive losers. Behavioural Processes 74(3) (2007) 342-350. Abstract
18. W. Just and B. Stigler; Computing Groebner Bases of Ideals of Few Points in High Dimensions.. Communications in Computer Algebra 40(3) (2006) 65-76. Abstract Link to paper on arXiv
19. W. Just; Reverse engineering discrete dynamical systems from data sets with random input vectors. Journal of Computational Biology 13(8) (2006) 1435-1456. Abstract
20. W. Just and G. Della Vedova; Multiple Sequence Alignment as a Facility Location Problem.
INFORMS Journal on Computing 16(4) (2004) 430-440. Abstract
21. W. Just, I. Shmulevich, and J. Konvalina; The number and probability of canalizing functions. Physica D 197(3-4) (2004) 211-221. Abstract Link to the paper on arXiv
22. W. Just and X. Sun; Is the Predicted ESS in the Sequential Assessment Game Evolvable? Proceedings of GECCO 2004 (Genetic and Evolutionary Computation Conference 2004), Kalyanmoy Deb et al. (eds.), Lecture Notes in Computer Science 3102, Springer Verlag: Berlin, 499-500. Abstract
23. X. Sun and W. Just; Evolution of Strategies in Modified Sequential Assessment Games. Proceedings of CEC 2004 (2004 Congress on Evolutionary Computation), Garrison W. Greenwood (ed.), IEEE Press, 388-394. Abstract
24. W. Just and F. Zhu; Individual-Based Simulations of the War of Attrition. Behavioural Processes 66(1) (2004) 53-62. Abstract
25. W. Just and M. R. Morris; The Napoleon Complex: Why Smaller Males Pick Fights. Evolutionary Ecology 17(5) (2003) 509-522. Abstract
26. Y. Xiao and W. Just; A Possible Mechanism of Repressing Cheating Mutants in Myxobacteria. E. Cantú-Paz et al. (Eds.): Genetic and Evolutionary Computation Conference - GECCO 2003. LNCS 2723, Springer Verlag: Berlin, 154-155. Abstract Companion web page
27. W. Just and X. Sun; Simulating the Evolution of Contest Escalation. Alwyn Barry (Ed.): Workshop Program for GECCO 2003 (Genetic and Evolutionary Computation Conference), 75-77. Abstract pdf file A slightly expanded version of the paper Companion web page
28. W. Just and F. Zhu; Effects of Genetic Architecture on Simultaneous Evolution of Multiple Traits. Alwyn Barry (Ed.): Workshop Program for GECCO 2003 (Genetic and Evolutionary Computation Conference), 22-26. Abstract pdf file
29. W. Just; Computational complexity of multiple sequence alignment with SP-score. Journal of Computational Biology Vol. 8 No. 6 (2001) 615-623. Abstract
30. W. Just; $\clubsuit$-like principles under CH. Fundamenta Mathematicae 170 (2001) 247-256. Abstract
31. J. Brendle, W. Just, and C. Laflamme; On the refinement and countable refinement numbers. Questions and Answers in General Topology 18 (2000) 123-128. Abstract
32. Z. T. Balogh, S. W. Davis, W. Just, S. Shelah, and P. J. Szeptycki; Strongly almost disjoint sets and weakly uniform bases. Transactions of the AMS 352(11) (2000) 4971-4987. Abstract
33. W. Just and G. Della Vedova; Multiple Sequence Alignment as a Facility Location Problem. Proceedings of Prague Stringology Club Workshop '2000, Collaborative Report DC-2000-03, M. Balik and M. Simanek, eds., Department of Computer Science and Engineering, Czech Technical University, 60-70. Abstract dvi file postscript file pdf file
34. W. Just, M. Wu, and J. Holt; How to Evolve a Napoleon Complex. Proceedings of 2000 Congress on Evolutionary Computation, Vol. 2, IEEE Press 2000, 851-856. Abstract Word file
35. W. Just, M. V. Matveev, and P. J. Szeptycki; Some results on property (a). Topology and its Applications 100 (2000) 67-83. Abstract
36. A. V. Arhangel'skii, W. Just, E. A. Reznichenko, and P. J. Szeptycki; Sharp bases and weakly uniform bases versus point-countable bases. Topology and its Applications 100 (2000) 39-46. Abstract
37. W. Just, S. Shelah, and S. Thomas; The Automorphism Tower Problem Revisited. Advances in Mathematics 148(2) (1999) 243-265. Abstract
38. P. DeLaney and W. Just; Two remarks on weaker connected topologies. Commentationes Mathematicae Universitatis Carolinae (CMUC) 40,2 (1999) 327-329. Abstract
39. S. Garcia-Ferreira and W. Just; Some remarks on the $\gamma_p$-property. Questions and Answers in General Topology 17 (1999) 1-8. Abstract
40. S. Garcia-Ferreira and W. Just; Two examples of relatively pseudocompact spaces. Questions and Answers in General Topology 17 (1999) 35-45. Abstract
41. W. Just and J. Tartir; A $\kappa$-normal, not densely normal Tychonoff space. Proceedings of the AMS 127 Number 3 (1999) 901-905. Abstract
42. W. Just and P. Vojtas; On matrix rapid filters. Fundamenta Mathematicae 154 (1997) 177-182. Abstract
43. W. Just and A. Tanner; Splitting $\omega$-covers. Comment. Math. Univ. Carolinae 38,2 (1997) 375-378. Abstract.
44. W. Just, M. Scheepers, J. Steprans, and P. J. Szeptycki; $G_\delta$-sets in topological spaces and games. Fundamenta Mathematicae 153 (1997) 41-58. Abstract
45. A. V. Arhangel'skii, W. Just, and G. Plebanek; Sequential continuity on dyadic compacta and topological groups. Comment. Math. Univ. Carolinae 37,4 (1996) 775-790. Abstract
46. W. Just, A. W. Miller, M. Scheepers, and P. J. Szeptycki; The combinatorics of open covers II. Topology and its Applications 73 (1996) 241-266. Abstract
47. W. Just; The sizes of relatively compact $T_1$-spaces. Comment. Math. Univ. Carolinae 37,2 (1996) 379-380. Abstract
48. W. Just, O. Sipacheva, and P. J. Szeptycki; Nonnormal spaces $C_p(X)$ with countable extent. Proceedings of the AMS vol. 124(4) (1996) 1227-1235. Abstract

### Books

1. W. Just and M. Weese; Discovering Modern Set Theory. I: The Basics. Graduate Studies in Mathematics vol. 8, American Mathematical Society, Providence, RI, 1996.
2. W. Just and M. Weese; Discovering Modern Set Theory. II: Set-Theoretic Tools for Every Mathematician. Graduate Studies in Mathematics vol. 18, American Mathematical Society, Providence, RI, 1997.