Swarthmore College

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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: 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*, and A. Nair*. 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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Linda Chen, Assistant Professor

Braden, T., L. Chen, and F. Sottile. 2008. The Equivalent Chow Rings of Quot Schemes. Pacific Journal of Mathematics 238 (2): 201-232.
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Scott Cook, Visiting Assistant Professor

Cook, S., and R. Feres. 2012. Random Billiards with Wall Temperature and Associated Markov Chains. Nonlinearity 25 (9): 2503-2541.
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Philip J. Everson, Professor

Wang, S.C., A.E. Zimmerman*, B.S. McVeigh*, P.J. Everson, and H.D. Wong*. 2012. Confidence Intervals for the Duration of a Mass Extinction. Paleobiology 38 (2): 265-277.
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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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Everson, P.J., R..M. Valelly, and J. Wiseman. 2004. The Poole-Rosenthal Scores: A Primer for Political Scientists. Presentation at American Political Science Association Annual Meeting, September 2, at Hilton Chicago and Palmer House Hilton, Chicago, IL.
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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. Presentation at 6th Valencia International Meeting on Bayesian Statistics, May 30 - June 5, at Valencia, Spain.
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Charles M. Grinstead, Professor

Grinstead, C.M., W.P. Peterson, and J.L. Snell. 2011. Probability Tales. Providence, RI: American Mathematical Society.
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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.N. Jefferson, and A.C. Vollmer. 2005. Bridging Cultures via Molecular Microbiology. Presentation 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: College Network.
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Iversen, G.R. 1996. Calculus. Quantitative Applications in the Social Sciences Series 7 (110). Newbury Park, CA: Sage.
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Aimee S.A. Johnson, Professor

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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Dajani, K., M. de Vries, and A. Johnson. 2005. The Relative Growth on Information in Two-Dimensional Partitions. Real Analysis Exchange 31 (2): 397-408.
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E.M. Coven, E.M., A. Johnson, 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. Şahin. 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. Şahin. 2000. Isometric Extensions of Zero Entropy Zd Loosely Bernoulli Transformations. Transactions of the American Mathematical Society 352 (3): 1329-1343.
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Haddad, K.N., and A. Johnson. 1999. Recurrent Sequences and IP Sets. Topology and its Applications 98 (1/3): 203-210.
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Johnson, A., and K. Madden. 1999. The Decomposition Theorem for Two-Dimensional Shifts of Finite Type. Proceedings of the American Mathematical Society 127 (5): 1533-1543.
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Johnson, A., and A.A. Şahin. 1998. Rank One and Loosely Bernoulli Actions in Zd. Ergodic Theory and Dynamical Systems 18 (5): 1159-1172.
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Eugene Klotz, Professor Emeritus

Renninger, K.A., S.A. Weimar, and E.A. Klotz. 1998. Teachers and Students Investigating and Communicating about Geometry: The Math Forum. In Designing Learning Environments for Developing Understanding of Geometry and Space, edited by R. Lehrer and D. Chazan, 465-487. Mahwah, NJ: Lawrence Erlbaum.
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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: A K Peters.
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Maurer, S.B., and A. Ralston. 2004. Discrete Algorithmic Mathematics. 3rd ed. Wellesley, MA: A K 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. Delaware Valley Rail Passenger 18 (11): 8.
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Maurer, S.B., and A. Ralston. 1998. Discrete Algorithmic Mathematics . 2nd ed. Natick, MA: A K 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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Nsoki Mavinga, Visiting Assistant Professor

Mavinga, N. 2012. Generalized Eigenproblem and Nonlinear Elliptic Equations with Nonlinear Boundary Conditions. Proceedings of the Royal Society of Edinburgh: Section A: Mathematics 142 (1): 137-153.
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Lynne S. Schofield, Assistant Professor

Schofield, L.S. 2012. Community-Based Learning Versus Traditional Courses in Statistics: Who Takes Them and Why. American Statistician 66 (2): 118-123.
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Matthew Sedlock, Visiting Assistant Professor

Ziff, R.M., C.R. Scullard, J.C. Wierman, and M. Sedlock. 2012. The Critical Manifolds of Inhomogeneous Bond Percolation on Bow-Tie and Checkerboard Lattices. Journal of Physics A: Mathematical and Theoretical 45 (49): 494005.
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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. Linear Algebra and its Applications 280 (1): 5-8.
Special issue in memory of O. Taussky Todd.
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Don H. Shimamoto, 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

Schantz, R., and W. Stromquist. 2009. A Bidding Model for Auctions of Offshore Alternative Energy Sites. Presentation at The Eastern Economic Association, March 1, at New York.
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Barbanel, J.B., S.J. Brams, and W. Stromquist. 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. Presentation at International Association for Mathematical Geosciences, August 23-28, at Stanford, CA.
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Barbanel, J.B., S.J. Brams, and W. Stromquist. 2008. Cutting a Pie is Not a Piece of Cake. Presentation 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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Battiste Presutti, C., and W. Stromquist. 2007. A Conjecture for the Packing Density of 2413. Presentation at Permutation Patterns 2007, June 11-15, at St. Andrews, Scotland.
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Stromquist, W. 2007. A Pie that Can't be Cut Fairly. Presentation at Dagstuhl Seminar on Fair Division, June 7, at Dagstuhl, Saarland, Germany.
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Andreescu, T., W. Stromquist, and Z. Ŝunić. 2007. Bandwidth Reduction in Rectangular Grids. Algebra and Discrete Mathematics 2: 1-15.
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Bursten, A., and W. Stromquist. 2007. Dumont Permutations of the Third Kind. Presentation at Formal Power Series and Algebraic Combinatorics, 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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Janet C. Talvacchia, Professor

Singer,S.F., J. Talvacchia, 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, Associate Professor

Payne, J.L., A.B. Jost, S.C. Wang, and J.M. Skotheim. 2013. A Shift in the Long-Term Mode of Foraminiferan Size Evolution Caused by the End-Permian Mass Extinction. Evolution 67 (37): 816-827.
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Wang, S.C., A.E. Zimmerman*, B.S. McVeigh*, P.J. Everson, and H.D. Wong*. 2012. Confidence Intervals for the Duration of a Mass Extinction. Paleobiology 38 (2): 265-277.
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Smith, S.M., K.D. Angielczyk, L. Schmitz, and S.C. Wang. 2012. How Well do Orbit Dimensions Predict Diel Activity in Sciurid Rodents?. Integrative and Comparative Biology 52: E163.
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Lloyd, G.T., S.C. Wang, and S.L. Brusatte*. 2012. Identifying Heterogeneity in Rates of Morphological Evolution: Discrete Character Change in the Evolution of Lungfish (Sarcopterygii; Dipnoi). Evolution 66 (2): 330-348.
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Rego, B.L., S.C. Wang, D. Altiner, and J.L. Payne. 2012. Within- and Among-Genus Components of Size Evolution during Mass Extinction, Recovery, and Background Intervals: A Case Study of Late Permian through Late Triassic Foraminifera. Paleobiology 38 (4): 627-643.
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Brusatte, S.L., G.T. Lloyd, S.C. Wang, S. Montanari, and H. Yi. 2011. Coping with Rock Record Bias in Studies of Morphological Evolution: New Methods for Analyzing Disparity and Evolutionary Rates. Journal of Vertebrate Paleontology 31 (5): 79A.
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Payne, J.L., C.R. McClain, A.G. Boyer, J.H. Brown, S. Finnegan, M. Kowalewski, R.A. Krause, S.K. Lyons, D.W. McShea, P.M. Novack-Gottshall, F.A. Smith, P. Spaeth, J.A. Stempien, and S.C. Wang. 2011. The Evolutionary Consequences of Oxygenic Photosynthesis: A Body Size Perspective. Photosynthesis Research 107 (1): 37-57.
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Kowalewski, M., J.L. Payne, F.A. Smith, S.C. Wang, D.W. McShea, S.H. Xiao, P.M. Novack-Gottshall, C.R. McClain, R.A. Krause, A.G. Boyer, S. Finnegan, S.K. Lyons, J.A. Stempien, J. Alroy, and P.A. Spaeth. 2011. The Geozoic Supereon. Palaios 26 (5/6): 251-255.
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Brusatte*, S.L., M.J. Benton, G.T. Lloyd, M. Ruta, and S.C. Wang. 2010. Macroevolutionary Patterns in the Evolutionary Radiation of Archosaurs (Tetrapoda: Diapsida). Earth and Environmental Science Transactions of the Royal Society of Edinburgh 101 (3/4): 367-382.
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Wang, S.C., D.J. Chudzicki*, and P.J. Everson. 2009. Optimal Estimators of the Position of a Mass Extinction when Recovery Potential is Uniform. Paleobiology 35 (3): 447-459.
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Payne, J.L., A.G. Boyer, J.H. Brown, S. Finnegan, M. Kowalewski, R.A. Krause, S.K. Lyons, C.R. McClain, D.W. McShea, P.M. Novack-Gottshall, F.A. Smith, J.A. Stempien, and S.C. Wang. 2009. Two-Phase Increase in the Maximum Size of Life over 3.5 Billion Years Reflects Biological Innovation and Environmental Opportunity. Proceedings of the National Academy of Sciences 106 (1): 24-27.
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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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Solow, A.R., and S.C. Wang. 2008. Some Problems with Assessing Cope's Rule. Evolution 62 (8): 2092-2096.
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Finnegan, J.L. Payne, and S.C. Wang. 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.J. Everson. 2007. Confidence Intervals for Pulsed Mass Extinction Events. Paleobiology 33 (2): 324-336.
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Wang, S.C., K.D. Angielczyk, and P.D. 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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Roopnarine, P.D., K.D. Angielczyk, S.C. Wang, 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., and P. Dodson. 2006. Estimating the Diversity of Dinosaurs. Proceedings of the National Academy of Sciences 103 (37): 13601-13605.
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Angielczyk, P.D. Roopnarine, and S.C. Wang. 2006. Were end-Permian terrestrial vertebrate communities unusually susceptible to extinction?. Journal of Vertebrate Paleontology 26 (3): 37A.
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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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Roopnarine, P.D., K.D. Angielczyk, and S.C. Wang. 2005. Mathematical Modeling and Bayesian Analysis of Paleocommunity Collapse during Mass Extinctions. Presentation at Geological Society of America Annual Meeting, October 16-19, at Salt Palace Convention Center, Salt Lake City, UT.
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Wang, S.C. 2005. Modeling Evolutionary Trends: Don't Forget the Cariance. Presentation at North American Paleontological Convention, at Dalhousie Unversity, Halifax, NS, Canada.
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Angielczyk, K.D., P.D. Roopnarine, and S.C. Wang. 2005. Modeling the Role of Primary Productivity Disruption in End-Permian Extinctions, Karoo Basin, South Africa. Nonmarine Permian 30: 16-23.
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Dodson, P., and S.C. Wang. 2004. Counting Dinosaurs 2004: How Many Kinds were There?. Journal of Vertebrate Paleontology 24: 52A-53A.
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Wang, S.C., and P. Dodson. 2004. Estimating Absolute Diversity: How many Dinosaur Genera were 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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Bambach, R.K., A.H. Knoll, and S.C. Wang. 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. Geological Society of America Abstracts with Programs 35 (6): 386.
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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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Legro, R.S., A.R. Kunselman, L. Demers, S.C. Wang, R. Bentley-Lewis, and A. Dunaif. 2002. Elevated Dehydroepiandrosterone Sulfate Levels as the Reproductive Phenotype in the Brothers of Women with Polycystic Ovary Syndrome. Journal of Clinical Endocrinology and Metabolism 87 (5): 2134-2138.
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Legro, R.S., R. Bentley-Lewis, D. Driscoll, S.C. Wang, and A. Dunaif. 2002. Insulin Resistance in the Sisters of Women with Polycystic Ovary Syndrome: Association with Hyperandrogenemia rather than Menstrual Irregularity. Journal of Clinical Endocrinology and Metabolism 87 (5): 2128-2133.
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