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Mathematics & Statistics



Deborah J. Bergstrand, Professor


Bergstrand, D. J. and L.M. Friedler. 2005. Domination graphs of tournaments and other digraphs. Ars Combinatoria 74 (Jan.): 89-96.
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Garikai Campbell, Associate Professor


Campbell, G., J. Jacobsen, A. Johnson, and M. Orrison. 2008. The Art of teaching mathematics. MAA Focus 28 (1): 10-11.
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Campbell, G., J. Brady '07, and A. Nair '06. 2007. Tiling the unit square with 5 rational triangles. Rocky Mountain Journal of Mathematics 37 (2): 399-418.
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Campbell, G. 2004. On optimal play in the game of Hex. Integers 4 (G2).
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Campbell, G. 2004. Points on y = x2 at rational distance. Mathematics of Computation 73 (248): 2093-2108.
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Campbell, G. 2003. A Note on arithmetic progressions on elliptic curves. Journal of Integer Sequences 6 (1).
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Philip J. Everson, Associate Professor


Everson, P.J. and S.C. Wang. 2007. Confidence intervals for pulsed mass extinction events. Paleobiology 33 (2): 324-336.
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Everson, P.J., R. Valelly, and J. Wiseman. 2004. The Poole-Rosenthal scores: A primer for political scientists. Paper read at American Political Science Association Annual Meeting, September 2, at the Hilton Chicago and the Palmer House Hilton, Chicago.
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Everson, P.J. and E.T. Bradlow. 2002. Bayesian inference for the beta-binomial distribution via polynomial expansions. Journal of Computational and Graphical Statistics 11 (1): 202-207.
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Everson, P.J. 2001. Exact Bayesian inference for normal hierarchical models. Journal of Statistics Computation and Simulation 68 (3): 223-241.
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Everson, P.J. and C.N. Morris. 2000. Inference for multivariate normal hierarchical models. Journal of the Royal Statistical Society Series B: Statistical Methodology 62 (2): 399-412.
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Everson, P.J. and C.N. Morris. 2000. Simulation from Wishart distributions with eigenvalue constraints. Journal of Computational and Graphical Statistics 9 (2): 390-389.
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Everson, P.J. 1998. Exact sampling for Bayesian inference. Paper read at 6th Valencia International Meeting on Bayesian Statistics, May 30th - June 5th, at Valencia, Spain.
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Charles M. Grinstead, Professor


Grinstead, C.M. and L.M. Friedler. 2002. A Characterization of a topology on the countably infinite random graph. Topology and Its Applications 124 (3): 465-473.
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Cheryl Grood, Associate Professor


Grood, C. 2006. The Rook partition algebra. Journal of Combinatorial Theory Series A 113 (2): 325-351.
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Grood, C.P., P.N. Jefferson, and A.C. Vollmer. 2005. Bridging cultures via molecular microbiology. Paper read at Haverford College Symposium and poster session, at Haverford College, Haverford, PA.
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Grood, C. 2002. A Specht module analog for the rook monoid. Electronic Journal of Combinatorics 9 (1): R2.
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Grood, C. 1999. Brauer algebras and centralizer algebras for SO(2n, c). Journal of Algebra 222 (2): 678-707.
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Gudmund R. Iversen, Professor Emeritus


Iversen, G.R. 2004. Two dozen entries on various statistical topics. In The Sage encyclopedia of social science research methods, edited by M.S. Lewis-Beck, A. Bryman, and T. Futing Liao. Thousand Oaks, CA: Sage.
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Iversen, G.R. 2003. Knowledge as a numbers game. In Social construction: A reader, edited by K.J. Gergen and M. Gergen, 23-26. Thousand Oaks, CA: Sage.
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Iversen, G.R. and M. Gergen. 2000. Statistics: The conceptual approach. Chinese ed. Beijing: Higher Education Press.
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Iversen, G.R. 2000. Study guide: Statistics. Indianapolis, IN: The College Network.
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Aimee S.A. Johnson, Associate Professor


Johnson, A., G. Campbell, J. Jacobsen and M. Orrison. 2008. The Art of teaching mathematics. MAA Focus 28 (1): 10-11.
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Johnson, A. and K. Madden. 2005. Factoring higher-dimensional shifts of finite type onto the full shift. Ergodic Theory and Dynamical Systems 25 (3): 811-822.
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Johnson, A., K. Dajani, and M. de Vries. 2005. The Relative growth on information in two-dimensional partitions. Real Analysis Exchange 31 (2): 397-408.
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Johnson, A., E.M. Coven, N. Jonoska, and K. Madden. 2003. The Symbolic dynamics of multidimensional tiling systems. Ergodic Theory and Dynamical Systems 23 (2): 447-460.
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Johnson, A. and K. Madden. 2002. Renewal systems, sharp-eyed snakes, and shifts of finite type. American Mathematical Monthly 109 (3): 258-272.
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Johnson, A. and A.A. Şahín. 2001. Even Kakutani equivalence and the loose block independence property for positive entropy Zd actions. Illinois Journal of Mathematics 45 (2): 495-516.
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Johnson, A. and A.A. Şahín. 2000. Isometric extensions of zero entropy Zd loosely Bernoulli transformations. Transactions of the American Mathematical Society 352 (3): 1329-1343.
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Johnson, A. and K.N. Haddad. 1999. Recurrent sequences and IP sets. Topology and Its Applications 98 (1-3): 203-210.
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Johnson, A. and K.M. Madden. 1999. The Decomposition theorem for two-dimensional shifts of finite type. Proceedings of American Mathematical Society 127 (5): 1533-1543.
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Johnson, A. and A.A. Şahín. 1998. Rank one and loosely Bernoulli actions in Z(d). Ergodic Theory and Dynamical Systems 18 (5): 1159-1172.
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Stephen B. Maurer, Professor


Maurer, S.B. and W. McCallum. 2006. Advising a precollege curriculum project. Notices of the American Mathematical Society 53 (9): 1018-1020.
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Maurer, S.B. 2005. Read this!. Review of Mathematical connections: A companion for teachers and others by A. Cuoco. MAA Online .
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Maurer, S.B., A. Ralston, L. Evans, H. Pomeranz, G. Rosenberg, and B. Taylor. 2005. Selected solutions for discrete algorithmic mathematics. 3rd ed. Wellesley, MA: AK Peters.
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Maurer, S.B. and A. Ralston. 2004. Discrete algorithmic mathematics. 3rd ed. Wellesley, MA: AK Peters.
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Maurer, S.B. 2004. Out of the box. Mathematics Teacher 97 (2): 143.
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Maurer, S.B. 2003. Directed acyclic graphs. In Handbook of graph theory, edited by J. Gross and J. Yellen, 142-155. Boca Raton, FL: CRC Press.
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Maurer, S.B. 2003. Support faculty, develop examples, and fix admissions tests. In Quantitative literacy: Why numeracy matters for schools and colleges, edited by B.L. Madison and L.A. Steen, 259-260. Princeton, NJ: National Council on Education and the Disciplines.
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Maurer, S.B. 2002. Hat derivatives. College Mathematics Journal 33 (1): 32-37.
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Maurer, S.B., H. Reiter, and L. Schneider. 2001. The American high school mathematics examination: A 50-year retrospective. Journal of the World Federation of National Mathematics Competitions 14 (2).
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Maurer, S.B. 2000. Algorithmics. In Encyclopedia of computer science, edited by A. Ralston, E. Reilly, and D. Hemmendinger, 40-42. 4th ed. London: Nature Publishing Group.
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Maurer, S.B. 2000. College entrance mathematics in the year 2000: What came true?. Mathematics Teacher 93 (6): 455-459.
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Maurer, S.B. 2000. Directed graphs. In Handbook of discrete mathematics, edited by K.H. Rosen, 516-539. Boca Raton, FL: CRC Press.
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Maurer, S.B. 2000. Local rail in Benelux and Germany. The Delaware Valley Rail Passenger XVIII (11): 8.
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Maurer, S.B. and A. Ralston. 1998. Discrete algorithmic mathematics . 2nd ed. Natick, MA: AK Peters.
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Maurer, S.B. 1998. What is an algorithm? What is an answer?. In The Teaching and learning of algorithms in school mathematics, edited by L.J. Morrow and M. Kenney, 21-31. Reston, VA: National Council of Teachers of Mathematics.
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David Rosen, Professor Emeritus


Rosen, D. and C. Towse. 2001. Continued fraction representations of units associated with certain Hecke groups. Archiv Der Mathematik 77 (4): 294-302.
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Helene Shapiro, Professor


Shapiro, H. 1999. The Weyr characteristic. American Mathematical Monthly 106 (10): 919-929.
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Shapiro, H. 1998. Introduction to special issue in memory of Olga Taussky Todd. Linear Algebra and Its Applications 280 (1): 5-8.
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Don H. Shimamoto, Associate Professor


Shimamoto, D. and C. Vanderwaart. 2005. Spaces of polygons in the plane and Morse theory. American Mathematical Monthly 112 (4): 289-310.
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Walter R. Stromquist, Visiting Associate Professor


Stromquist, W. and R. Schantz. 2009. A Bidding model for auctions of offshore alternative energy sites. Paper read at The Eastern Economic Association, March 1, at New York.
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Stromquist, W., J.B. Barbanel, and S.J. Brams. 2009. Cutting a pie is not a piece of cake. American Mathematical Monthly 116 (6): 496-514.
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Stromquist, W. and J.D. Grace. 2009. High-dimensional GIS. Paper read at IAMG09 (International Association for Mathematical Geosciences), August 23-28, 2009, at Stanford, CA.
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Stromquist, W., J.B. Barbanel, and S.J. Brams. 2008. Cutting a pie is not a piece of cake. Paper read at World Congress of the Game Theory Society, July 13, at Evanston, IL.
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Stromquist, W. 2008. Envy-free cake divisions cannot be found by finite protocols. Electronic Journal of Combinatorics 15 (1): R11.
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Stromquist, W. 2007. A Pie That Can't Be Cut Fairly. Paper read at Dagstuhl Seminar on Fair Division, June 7, at Dagstuhl, Saarland, Germany.
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Stromquist, W., T. Andreescu, and Z. Ŝunić. 2007. Bandwidth Reduction in Rectangular Grids. Algebra and Discrete Mathematics 2: 1-15.
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Stromquist, W. and A. Bursten. 2007. Dumont Permutations of the Third Kind. Paper read at Formal Power Series and Algebraic Combinatorics by A. Burstein, July 2-6, at Nankai University, Tianjin, China.
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Stromquist, W. 2007. Winning Paths in N-by-Infinity Hex. Integers 7: G5.
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Stromquist, W. and C. Battiste Presutti. A Conjecture for the Packing Density of 2413. Paper read at Permutation Patterns 2007, June 11-15, at St. Andrews, Scotland.
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Janet C. Talvacchia, Professor


Talvacchia, J.C., S.F. Singer, and N. Watson. 1999. Nontoric Hamiltonian circle actions on four-dimensional symplectic orbifolds. Proceedings of the American Mathematical Society 127 (3): 937-940.
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Steve C. Wang, Assistant Professor


Wang, S.C. and A.M. Bush. 2008. Adjusting global extinction rates to account for taxonomic susceptibility. Paleobiology 34 (4): 434-455.
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Wang, S.C. and A.R. Solow. 2008. Some problems with assessing Cope's Rule. Evolution 62 (8): 2092-2096.
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Wang, S.C. and P.J. Everson. 2007. Confidence intervals for pulsed mass extinction events. Paleobiology 33 (2): 324-336.
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Wang, S.C., K. Angielczyk, and P. Roopnarine. 2007. Does extinction resistance explain changes in trophic network structures in terrestrial vertebrate communities? Journal of Vertebrate Paleontology 27 (3): 41A.
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Wang, S.C., P.D. Roopnarine, K.D. Angielczyk, and R. Hertog. 2007. Trophic network models explain instability of Early Triassic terrestrial communities. Proceedings of the Royal Society B-Biological Science 274 (1622): 2077-2086.
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Wang, S.C., K. Angielczyk, and P. Roopnarine. 2006. Were end-Permian terrestrial vertebrate communities unusally susceptible to extinction? Journal of Vertebrate Paleontology 26 (3): 37A.
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Wang, S.C., S. Finnegan, and J.L. Payne. 2008. The Red Queen revisited: Reevaluating the age selectivity of Phanerozoic marine genus extinctions. Paleobiology 34 (3): 318-341.
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Wang, S.C. and P. Dodson. 2006. Estimating the diversity of dinosaurs. Proceedings of the National Academy of Sciences of the United States of America 103 (37): 13601-13605.
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Wang, S.C. 2005. Accounting for unequal variances in evolutionary trend mechanisms. Paleobiology 31 (2): 191-198.
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Wang, S.C. 2005. Baseball's highest honor: Teaching statistical thinking using the baseball hall of fame. Proceedings of the American Statistical Association, Section on Statistics in Sports: 2682-2688.
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Wang, S.C. 2005. Bayesian modeling of the duration of a multi-stage mass extinction event. Geological Society of America Abstracts with Programs 37 (7): 384.
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Wang, S.C., P.D. Roopnarine, and K.D. Angielczyk. 2005. Mathematical modeling and Bayesian analysis of Paleocommunity collapse during mass extinctions. Paper read at Geological Society of America Annual Meeting, October 16–19, at the Salt Palace Convention Center, Salt Lake City, UT.
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Wang, S.C. 2005. Modeling evolutionary trends: Don't forget the variance. Paper read at North American Paleontological Convention, at Dalhousie Unversity, Halifax, Nova Scotia, Canada.
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Wang, S.C., K.D. Angielczyk, and P.D. Roopnarine. 2005. Modeling the role of primary productivity disruption in end-Permian extinctions, Karoo Basin, South Africa. In The Nonmarine Permian: New Mexico Museum of Natural History and Science bulletin, edited by S.G. Lucas and K.E. Ziegler 16-23.
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Wang, S.C. and P. Dodson. 2004. Counting dinosaurs 2004: How many kinds were there? Journal of Vertebrate Paleontology 24.
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Wang, S.C. and P. Dodson. 2004. Estimating absolute diversity: How many dinosaur genera where there? Geological Society of America Abstracts with Programs 46 (5): 456.
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Wang, S.C. and C.R. Marshall. 2004. Improved confidence intervals for estimating the position of a mass extinction boundary. Paleobiology 30 (1): 5-18.
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Wang, S.C., R.K. Bambach, and A.H. Knoll. 2004. Origination, extinction, and mass depletions of marine diversity. Paleobiology 30 (4): 522-542.
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Wang, S.C. 2003. On the Continuity of background and mass extinction. Paleobiology 29 (4): 455-467.
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Wang, S.C. 2003. On the Continuity of background and mass extinction. Geological Society of America Abstracts with Programs 35 (6): 386.
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Wang, S.C., R.S. Legro, A.R. Kunselman, L. Demers, R. Bentley-Lewis, and A. Dunaif. 2002. Elevated dehydroepiandrosterone sulfate levels as the reproductive phenotype in the brothers of women with polycystic ovary syndrome. The Journal of Clinical Endocrinology and Metabolism 87 (5): 2134-2138.
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Wang, S.C., R.S. Legro, R. Bentley-Lewis, D. Driscoll, and A. Dunaif. 2002. Insulin resistance in the sisters of women with polycystic ovary syndrome: Association with hyperandrogenemia rather than menstrual irregularity. The Journal of Clinical Endocrinology and Metabolism 87 (5): 2128-2133.
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