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Publications

Submitted

John C. Wierman (2007) Percolation Thresholds, Exact. Encyclopedia of Complexity and System Science, Springer Verlag.

John C. Wierman, Jonathan S. Smalletz, and Cindy Lui (2007) Percolation threshold approximations based on the second moment of the degree distribution. Congressus Numerantium.

Accepted

John C. Wierman, Marybeth F. Camerer, Benjamin G. Gibbs, and Lawrence B. Aronhime (2007) Creating a framework for undergraduate entrepreneurs to start and manage student-run businesses. 2007 Proceedings of the American Society for
Engineering Education [CD-ROM].

Jonathan S. Smalletz and John C. Wierman (2007) Exploring optimal values into an approximation formula for bond percolation thresholds of planar periodic lattices.
Proceedings of the 2007 National Conference on Undergraduate Research.

Cindy Lui and John C. Wierman (2007) Improving site percolation threshold approximations using the second moment of the degree of the lattice.  Proceedings of the 2007 National Conference on Undergraduate Research.

2007

[88] William D. May and John C. Wierman (2007) The application of non-crossing partitions to improving percolation threshold bounds.  Combinatorics, Probability, and Computing, 16, 285-307.

[87] John C. Wierman, Dora Passen Naor, and Jon Smalletz (2007) Incorporating variability into an approximation formula for bond percolation thresholds of planar periodic lattices.  Physical Review E,  75, 011114.

2006

[86] William D. May and John C. Wierman (2006) Algorithms for non-crossing partitions. Congressus Numerantium, 179, 65-88.

[85] Elvan Ceyhan, Carey E. Priebe, and John C. Wierman (2005) Relative density of the random r-factor proximity catch digraph for testing spatial patterns of segregation and association. Computational Statistics and Data Analysis, 50, 1925-1965.

[84] John C. Wierman (2006) Chance and risk: an activity-based course in probabilistic thinking for humanities students.  Proceedings of the 5th Hawaii International Conference on Statistics, Mathematics and Related Fields, [CD-ROM]

[83] John C. Wierman (2006) Construction of infinite self-dual graphs.  Proceedings of the 5th Hawaii International Conference on Statistics, Mathematics and Related Fields, [CD-ROM]

2005

[82] John C. Wierman, Dora Passen Naor, and Rulian Cheng (2005) An improved site percolation threshold universal formula for two-dimensional matching lattices.  Physical Review E, 72, 066116.

[81] Robert Parviainen and John C. Wierman  (2005) Inclusions and non-inclusions among the Archimedean and Laves lattices, with applications to bond percolation thresholds.  Congressus Numerantium, 176, 89-128.

[80] Matthew Lad, George Lam, John Wierman, Sajod Moradi, and Brian Yagoda (2005) On inclusions and non-inclusions among 2-unifrom, Archimedean, and Laves lattices.  Congressus Numerantium, 172, 43-63.

[79] Matthew Lad, George Lam, and John C. Wierman (2005) Using lattice inclusions to prove percolation threshold bounds.  2005 Proceedings of the National Conference on Undergraduate Research [CD-ROM].

[78] John C. Wierman and Dora Passen Naor (2005) Criteria for evaluation of universal formulas for percolation thresholds. Physical Review E, 71, 036143.

[77] William D. May and John C. Wierman (2003) Using symmetry to improve percolation threshold bounds. Combinatorics, Probability, and Computing 14, 549-566.

[76] Lawrence B. Aronhime and John C. Wierman (2005) Practical entrepreneurship at Johns Hopkins University. 2005 Proceedings of the American Society for Engineering Education [CD-ROM].

[75] John C. Wierman (2005) Improvements in bounds and estimates for percolation thresholds.  Proceedings of the 4th Hawaii International Conference on Statistics, Mathematics, and Related Fields, 1071-1087.

2004

[74] George Lam, Sajod Moradi, Matthew Lad, Brian Yagoda, and John Wierman (2004) Inclusions among 2-uniform tilings.  Congressus Numerantium 176, 45-55.

[73] Xue Lin and John C. Wierman (2004) Cycles as constraint graphs in multi-type percolation.  Congressus Numerantium 171, 67-75.

[72] John C. Wierman, Rulian Cheng, and William D. May (2004) Estimating bond percolation thresholds using the substitution method.  Congressus Numerantium 170, 113-122.

[71] John C. Wierman (2004) A susceptible-infected-susceptible model with reintroduction for computer virus epidemics. (Chapter 11) Statistical Methods in Computer Security, (William W. S. Chen, editor), Marcel Dekker, 175-186.

[70] John C. Wierman and Pengfei Xiang (2004) Limit theory for the domination number of random class cover catch digraphs.  Proceedings of the 2003 Symposium on the Interface of Statistics and Computing.

[69] John C. Wierman and David J. Marchette (2004) Modeling computer virus prevalence with a susceptible--infected--susceptible model with reintroduction, Computational Statistics and Data Analysis, 45, 3-23.

2003

[68] Pengfei Xiang and John C. Wierman (2003) Limit theory for the domination number of random class cover catch digraphs.  Congressus Numerantium 162, 169-179.

[67] John C. Wierman and Dora Passen Naor (2003) Desirable properties of universal formulas for percolation thresholds. Congressus Numerantium 163, 125-142.

[66] William D. May and John C. Wierman (2003) Recent improvements to the substitution method for bounding percolation thresholds. Congressus Numerantium 162, 5-25.

[65] Robert H. Allen, Lawrence Aronhime, Artin A. Shoukas, and John C. Wierman  (2003)  Integrating biomedical engineering with entrepreneurship and management,  2003 Proceedings of the American Society for Engineering Education
[CD-ROM].

[64] John C. Wierman and Marybeth Camerer (2003) Lessons from starting an entrepreneurship program,  2003 Proceedings of the American Society for Engineering Education [CD-ROM].

[63] John C. Wierman (2003) Pairs of graphs with site and bond percolation critical probabilities in opposite orders, Discrete Applied Mathematics 129, 545-548.

[62]   John C. Wierman (2003) Upper and lower bounds for the Kagome lattice bond percolation critical probability, Combinatorics, Probability, and Computing, 12, 95-111.

2002

[61]   John C. Wierman (2002) A susceptible-infected-susceptible model with reintroduction for computer virus epidemics, 2002 Proceedings of the American Statistical Association, Statistical Computing Section [CD-ROM], American Statistical Association, Alexandria, Virginia.

[60]   John C. Wierman (2002) Probabilistic analysis of a computer virus epidemic model,  Proceedings of the Workshop on Statistical and Machine Learning Techniques in Computer Intrusion Detection, www.mts.jhu.edu/~cidwkshp/ Presentations2002.html.

[59]   John C. Wierman and Mohammad Q. Vahidi-Asl (2002) A conjectured lower bound for bond percolation critical probabilities of regular planar graphs, Congressus Numerantium 154, 201-216.

[58]   Jason DeVinney and John C. Wierman (2002) A SLLN for a one-dimensional class cover problem, Statistics and Probability Letters, 59, 425-435.

[57]   John C. Wierman (2002) The percolation critical probability is not a decreasing function of the average degree, Physical Review E 66, 046125.

[56]   John C. Wierman (2002) An improved upper bound for the hexagonal lattice sit percolation critical probability, Combinatorics, Probability, and Computing 11, 629-643.

[55]   John C. Wierman (2002) Accuracy of universal formulas for percolation thresholds based on dimension and coordination number, Physical Review E, 66, 027105.

[54]   John C. Wierman (2002) Bond percolation critical probability bounds for three Archimedean lattices, Random Structures and Algorithms, 20, 507-518.

2001

[53]   John C. Wierman (2001) On the range of bond percolation thresholds for fully-triangulated graphs, Journal of Physics A: Mathematical and General, 35, 959-964.

[52]   John C. Wierman (2001) Site percolation critical probability bounds for the (4,82) and (4,6,12) lattices, Congressus Numerantium 150, 117-128.

1999

[51]    John C. Wierman (1999)  A multi-type percolation model, Paul Erdos and his Mathematics: Research Communications, 278-280. 

[50]    Sven Erick Alm and John C. Wierman (1999)  Inequalities for means of restricted first-passage times in percolation theory,  Combinatorics, Probability, & Computing, 8, 307-315..

1995

[49]    John C. Wierman (1995)  Substitution method critical probability bounds for the square lattice site percolation model,  Combinatorics, Probability, & Computing, 4, 181-188.

1994

[48]    John C. Wierman (1994)  Equality of directional critical exponents in multiparameter percolation models,  Journal of Physics A: Mathematical and General, 27, 1851-1858.

[47]    Tomasz Luczak, Boris Pittel, and John C. Wierman (1994) The structure of a random graph at the point of phase transition, Transactions of the American Mathematical Society, 341, 721-748.

1993

[46]    Martin J. B. Appel and John C. Wierman (1993) AB percolation on bond-decorated graphs, Journal of Applied Probability, 30, 153-166.

1992

[45]    John C. Wierman (1992) Equality of the bond percolation critical exponents for two pairs of dual lattices,  Combinatorics, Probability & Computing, 1, 95-105.

[44]    Mohammad Q. Vahidi-Asl and John C. Wierman (1992) Upper and lower bounds for the route length of first-passage percolation in Voronoi tessellations,  Bulletin of the Iranian Mathematical Society, 19, 15-28.

1990

[43]    Mohammad Q. Vahidi-Asl and John C. Wierman (1990) A shape result for first-passage percolation on the Voronoi tesselation and Delaunay triangulation,  Random Graphs '89, John Wiley & Sons, 247-262.

[42]    John C. Wierman (1990)  Flow paths, (Review of Percolation, by Geoffrey Grimmett),  Science, 247-262.

[41]    John C. Wierman (1990)  Bond Percolation critical probability bounds for the Kagome lattice by a substitution method,  Disorder in Physical Systems, Oxford University Press, 349-360.

[40]    Mohammad Q. Vahidi-Asl and John C. Wierman (1990) First-passage percolation on the Voronoi tessellation and Delaunay triangulation,  Random Graphs, 87, John Wiley & Sons, 341-359.

[39]    Bela Bollobas and John C. Wierman (1990) Subgraph counts and containment probabilities of balanced and unbalanced subgraphs in a large random graph,  Graph Theory and Its Applications: East and West, (Proceedings of the First China-USA International Graph Theory Conference), 63-70.

1989

[38]    Edward Scheinerman and John C. Wierman (1989)  Optimal and near-optimal broadcast in random graphs,  Discrete Applied Mathematics, 24, 289-297.

[37]    Tomasz Luczak and John C. Wierman (1989)  The chromatic number of random graphs at the double-jump theshold,  Combinatorica, 9, 39-49.

[36]    John C. Wierman (1989)  AB percolation: A brief survey,  Combinatorics and Graph Theory, Banach Center Publications, Volume 25, 241-251.

[35]    Tomasz Luczak and John C. Wierman (1989) Counterexamples in AB percolation,  Journal of Physics A, 22, 185-191.

1988

[34]    Tomasz Luczak and John C. Wierman (1988)  Critical Probability bounds for two-dimensional site percolation models,  Journal of Physics A, 21, 3131-3138.

[33]    K. Nowicki and John C. Wierman (1988)  Subgraph counts in random graphs by incomplete U-statistics methods,  Discrete Mathematics, 72, 299-310.

[32]    John C. Wierman (1988)  AB percolation on close-packed graphs,  Journal of Physics A, 21, 1939-1944.

[31]    John C. Wierman (1988)  On AB percolation on bipartite graphs,  Journal of Physics A, 21, 1945-1949.

[30]    John C. Wierman (1988)  Bond percolation critical probability bounds derived by edge contraction, Journal of Physics A, 21, 1487-1492.

[29]    Edward R. Scheinerman and John C. Wierman (1988) On circle containment orders, Order 4, 315-318.

1987

[28]    John C. Wierman and Martin J. Appel (1987) Infinite AB percolation clusters exist on the triangular lattice,  Journal of Physics A, 20, 2533-2537.

[27]    Martin J. Appel and John C. Wierman (1987) On the absence of AB percolation in bipartite graphs, Journal of Physics A, 20, 2537-2531.

[26]    Edward R. Scheinerman and John C. Wierman (1987) Infinite AB percolation clusters exist,  Journal of Physics A, 20, 1305-1307.

[25]    John C. Wierman (1987)  Duality of k-degree percolation on the square lattice, Proceedings of the Workshop on Percolation and Ergodic Theory of Infinite Particle Systems, Lecture Notes in Mathematics Series, Springer-Verlag, 311-323.

[24]    J. Gimbel, D. Kurtz, L. Lesniak, E. Scheinerman, and John C. Wierman (1987)  Hamiltonian closure in random graphs,  Annals of Discrete Mathematics, 33, 59-67.

[23]    John C. Wierman (1987)  Directed site percolation and dual filling models, Annals of Discrete Mathematics, 33, 339-352.

1985

[22]    John C. Wierman (1985)  Critical percolation probabilities,  Annals of Discrete Mathematics, 28, 349-359

[21]    John C. Wierman (1985) Percolation Theory,  Encyclopedia of Statistical Sciences (S. Kotz, N. Johnson, and C. Read, editors), Volume 6, 674-679.

[20]    John C. Wierman (1985)  Duality for directed site percolation,  Particle Systems, Random Media, and Large Deviations, Contemporary Mathematics Series, American Mathematical Society,Volume 41, 363-380.

1984

[19]    John C. Wierman (1984)  "Percolation Theory for Mathematicians, by Harry Kesten,"  Bulletin of the American Mathematical Society, 11, 404-409.

[18]   C.J. Stoeckert, Michael Beer, John C. Wierman, and J.W. Wiggins (1984)  Histone positions within the nucleosome using platinum labeling and the scanning transmission electron microscope, Journal of Molecular Biology, 177, 483-505.

[17]    John C. Wierman (1984)  A bond percolation critical probability determination based on the star-triangle transformation,  Journal of Physics A, 17, 1525-1530.

[16]    John C. Wierman (1984)  Counterexamples in percolation: the site percolation critical probabilities pH and pT are unequal for a class of fully triangulated graphs,  Journal of Physics, 17, 637-646.

[15]    John C. Wierman (1984)  Critical probabilities in percolation models,  The Mathematics and Physics of Disordered Media, Lecture Notes in Mathematics, Volume 1035, Springer-Verlag, 300-313.

[14]    John C. Wierman (1984)  Mixed percolation on the square lattice,  Journal of Applied Probability, 21, 247-259.

1983

[13]    John C. Wierman (1983)  On square lattice directed percolation and resistance models,  Journal of Physics A, 16, 3545-3551.

1982

[12]    John C. Wierman (1982)  Percolation theory, (Special Invited Paper),  Annals of Probability, 10, 509-524.

1981

[11]    John C. Wierman (1981)  Bond percolation on the honeycomb and triangular lattices,  Advances in Applied Probability, 13, 298-313.

1980

[10]    Larry Gray, Robert T. Smythe, and John C. Wierman (1980)  Lower bounds for the critical probability in percolation models with oriented bounds,  Journal of Applied Probability, 17, 979-986.

[9]    John C. Wierman (1980)  Weak moment conditions for time coordinates in first-passage percolation models,  Journal of Applied Probability, 17, 968-978.

1979

[8]    John C. Wierman (1979)  The front velocity of the simple epidemic,  Journal of Applied Probability, 16, 409-415.

1978

[7]    John C. Wierman (1978)  On critical probabilities in percolation theory,  Journal of Mathematical Physics, 19, 1979-1982.

[6]    Robert T. Smythe and John C. Wierman (1978)  First-passage percolation on the square lattice, III,  Advances in Applied Probability, 10, 155-171.

[5]    Robert T. Smythe and John C. Wierman (1978)  First-passage percolation on the square lattice,  Lecture Notes in Mathematics, Volume 671, Springer-Verlag.

[4]    John C. Wierman and Wolfgang Reh (1978)  On conjectures in first-passage percolation theory, Annals of Probability, 6, 388-397.

1977

[3]    Robert T. Smythe and John C. Wierman (1977)  First-passage percolation on the square lattice, II,  Advances in Applied Probability, 9, 283-295.

[2]    Robert T. Smythe and John C. Wierman (1977)  First-passage percolation on the square lattice, I,  Advances in Applied Probability, 6, 38-54.

[1]    Y. K. Chan and John C. Wierman (1977)  On the Berry-Esseen Theorem for U-statistics,  Annals of Probability, 5, 136-139.

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