W. Just and B. Stigler;
Efficiently Computing Groebner Bases of Ideals of Points.
arXiv:0711.3475v1
W. Just and M. Korb; (In)consistency: Some low-dimensional examples.
W. Just and S. Ahn;
Lengths of attractors and transients in neuronal networks with random
connectivities.
arXiv:1404.5536
W. Just; COVID-19 Unmasked: The News, the Science, and Common Sense. World Scientific, March 2021.
These are the questions that this book is trying to address. It is written in the form of dialogues. Alice, a student of epidemiology, explains the science to three of her fellow students who have a lot of questions for her. The students have the same concerns that we all share to varying degrees: What the pandemic is doing to our health, our economy, and our cherished freedoms. In their conversations, they discover how the science relates to these questions. The book focuses on epidemiology, the science of how infections spread and how the spread can be mitigated. The science of how many infections can be prevented by certain kinds of actions. This is what we need to understand if we want to act wisely, as individuals and as a society.
The author's goal is to help the reader think about the COVID-19 pandemic like an epidemiologist. About the various preventive measures, what they are trying to accomplish, what the obstacles are. About what is likely to be most effective in the long run at moderate economic and personal cost. About the likely consequences of personal decisions. About how to best protect oneself and others while allowing all of us to lead lives that are as close as possible to normal. While some chapters present slightly more advanced material than others, no scientific background is needed to follow the conversations. The technical concepts are explained in small steps and the occasional calculations in the book require only high-school mathematics.
W. Just and Y. Xin;
Limsup is needed in the definitions of topological entropy via spanning or separation numbers.
Dynamical Systems 35(3) (2020), 430-489.
B. Oduro, M. Grijalva, and W. Just; A model of insect control with imperfect treatment. Journal of Biological Dynamics 13(1) (2019).
Y. Xin, C. K. Mudiyanselage, and W. Just; Development of epithelial tissues: How are cleavage planes chosen? PLoS ONE 13(11):e0205834 (2018). https://doi.org/10.1371/journal.pone.0205834
B. Oduro, M. Grijalva, and W. Just;
Models of disease vector control: When can aggressive initial intervention lower long-term cost?
Bulletin of Mathematical Biology, 80(4) (2018), 788-824.
W. Just and H. Callender Highlander;
Vaccination strategies for small worlds.
In A. Wootton, V. Peterson, C. Lee, eds.,
A Primer for Undergraduate Research: From Groups and Tiles to Frames and Vaccines. Springer Verlag, 2018, 223-264.
W. Just, J. Saldaña, and Y. Xin;
Oscillations in epidemic models with spread of awareness.
Journal of Mathematical Biology, 76(4) (2018), 1027-1057.
Preliminary version available at arXiv:1606.08788
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.
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.
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.
W. Just and G. A. Enciso;
Ordered Dynamics in Biased and Cooperative Boolean Networks.
Advances in Difference Equations 2013, 2013:313.
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.
W. Just and M. Malicki;
Cooperative Boolean systems with generically long attractors II.
Advances in Difference Equations 2013, 2013:268.
W. Just and M. Malicki;
Cooperative Boolean systems with generically long attractors I.
Journal of Difference Equations and Applications 19(5) (2013) 772-795.
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.
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.
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.
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.
W. Just, S. Ahn, and
D. Terman;
Minimal attractors in digraph system models of neuronal
networks.
Physica D 237 (2008) 3186-3196.
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.
D. Terman,
S. Ahn, X. Wang, and W. Just;
Reducing neuronal networks to discrete dynamics.
Physica D 237(3) (2008) 324-338.
W. Just; Data requirements of reverse-engineering algorithms.
Annals of the New York Academy of Sciences 1115 (2007) 142-153.
W. Just, M.
R. Morris, and X. Sun; The evolution of aggressive losers.
Behavioural Processes 74 (2007) 342-350.
W. Just; Reverse engineering discrete dynamical systems from data sets with random input vectors. Journal of Computational Biology 13(8) (2006) 1435-1456.
W. Just and G. Della Vedova; Multiple Sequence Alignment as a Facility Location Problem. INFORMS Journal on Computing 16(4) (2004) 430-440.
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.
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.
W. Just and F. Zhu; Individual-Based Simulations of the War of Attrition. Behavioural Processes 66(1) (2004) 53-62.
W. Just and M. R. Morris; The Napoleon Complex: Why Smaller Males Pick Fights. Evolutionary Ecology 17(5) (2003) 509-522.
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.
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.
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.
W. Just; Computational complexity of multiple sequence alignment with SP-score. Journal of Computational Biology Vol 8, Number 6 (2001) 615-623.
W. Just; $\clubsuit$-like principles under CH. Fundamenta Mathematicae 170 (2001) 247-256.
J. Brendle, W. Just, and C. Laflamme; On the refinement and countable refinement numbers. Questions and Answers in General Topology 18 (2000) 123-128.
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 number 11 (2000) 4971-4987.
W. Just and Gianluca Della Vedova; Multiple Sequence Alignment as a Facility Location Problem. Proceedings of the 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.
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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.
W. Just, S. Shelah, and S. Thomas; The Automorphism Tower Problem Revisited. Advances in Mathematics 148(2) (1999) 243-265.
P. DeLaney and W. Just; Two remarks on weaker connected topologies. Comment. Math. Univ. Carolinae 40,2 (1999) 327-329.
S. Garcia-Ferreira and W. Just; Some remarks on the $\gamma_p$-property. Questions and Answers in General Topology 17 (1999) 1-8.
S. Garcia-Ferreira and W. Just; Two examples of relatively pseudocompact spaces. Questions and Answers in General Topology 17 (1999) 35-45.
W. Just and J. Tartir; A $\kappa$-normal, not densely normal Tychonoff space. Proceedings of the AMS 127 Number 3 (1999) 901-905.
W. Just and P. Vojtas; On matrix rapid filters. Fundamenta Mathematicae 154 (1997) 177-182.
W. Just and A. Tanner; Splitting $\omega$-covers. Comment. Math. Univ. Carolinae 38,2 (1997) 375-378.
W. Just, M. Scheepers, J. Steprans, and P. J. Szeptycki; $G_\delta$-sets in topological spaces and games. Fundamenta Mathematicae 153 (1997) 41-58.
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.
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.
W. Just; The sizes of relatively compact $T_1$-spaces. Comment. Math. Univ. Carolinae 37,2 (1996) 379-380.
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.