Publications coming out of the Iowa State Math REU
2023
Sajid Bin Mahamud, Steve Butler, Hannah Graff, Jiah Jin, Nick Layman, Taylor Luck, Noah Owen, Angela Yuan, Coalescing sets preserving cospectrality of graphs arising from block similarity matrices, submitted.
2022
Connor Albright, Kimberly P. Hadaway, Ari Holcombe Pomerance, Joel Jeffries, Kate J. Lorenzen, Abigail K. Nix, On the Directional Derivative of Kemeny's Constant, submitted.
Steve Butler, Elena D'Avanzo, Rachel Heikkinen, Joel Jeffries, Alyssa Kruczek, and Harper Niergarth, Complements of coalescing sets, submitted.
Steve Butler, Elena D'Avanzo, Rachel Heikkinen, Joel Jeffries, Alyssa Kruczek, and Harper Niergarth, Spectral faux trees, submitted.
2019
Riley Borgard, Steven N. Harding, Haley Duba, Chloe Makdad, Jay Mayfield, Randal Tuggle, Eric Weber, Accelerating the Distributed Kaczmarz Algorithm by Strong Over-relaxation, Linear Algebra and its Applications 611 (2021), 334-355.
Steve Butler, Elizabeth Cooper, Aaron Li, Kate Lorenzen, Zoë Schopick, Spectral properties of the exponential distance matrix, Involve 15 (2022), 739-762.
Allison Byars, Evan Camrud, Steven Harding, Sarah McCarty, Keith Sullivan, Eric Weber, Sampling and interpolation of cumulative distribution functions of Cantor sets in [0,1], Demonstratio Mathematica 54 (2021), 85-109.
2017
John Ahn, Christine Alar, Beth Bjorkman, Steve Butler, Joshua Carlson, Audrey Goodnight, Haley Knox, Casandra Monroe, and Michael Wigal, Ordered multiplicity inverse eigenvalue problem for graphs on six vertices, Electronic Journal of Linear Algebra 37 (2021), 316-358.
Camille Felton, Mariana Harris, Caleb Logemann, Stefan Nelson, Ian Pelakh, James A. Rossmanith, A Positivity-Preserving Limiting Strategy for Locally-Implicit Lax-Wendroff Discontinuous Galerkin Methods, submitted.
2015
Esther Banaian, Steve Butler, Christopher Cox, Jeffrey Davis, Jacob Landgraf, and Scarlitte Ponce, A generalization of Eulerian numbers via rook placements, Involve 10 (2017), 691-705.
Esther Banaian, Steve Butler, Christopher Cox, Jeffrey Davis, Jacob Landgraf, and Scarlitte Ponce, Counting prime juggling patterns, Graphs and Combinatorics 32 (2016), 1675-1688.
Chassidy Bozeman, Minerva Catral, Brendan Cook, Oscar González, Carolyn Reinhart, On the tree cover number of a graph, Involve 10 (2017), 767-779
2013
Adam Berliner, Cora Brown, Joshua Carlson, Nathanael Cox, Leslie Hogben, Jason Hu, Katrina Jacobs, Kathryn Manternach, Travis Peters, Nathan Warnberg, Michael Young, Path cover number, maximum nullity, and zero forcing number of oriented graphs and other simple digraphs, Involve 8 (2015), 147-167.
2011
Kimberly Ayers, Xavier Garcia, Worlfgang Kliemann, Jennifer Kunze, Thomas Rudelius, Anthony Sanchez, Sijing Shao, Emily Speranza, Limit and Morse sets for deterministic hybrid systems, Qualitative Theory of Dynamical Systems 12 (2013), 335-360.
Jonathan Ackerman, Kimberly Ayers, Eduardo Beltran, Joshua Bonet, Devin Lu, Thomas Rudelius, A Behavioral Characterization of Discrete Time Dynamical Systems over Directed Graphs, Qualitative Theory of Dynamical Systems 13 (2014), 161-180. (2009+2011 REU)
Adam Berliner, Minerva Catral, Leslie Hogben, My Huynh, Kelsey Lied, Michael Young, Minimum rank, maximum nullity, and zero forcing number of simple digraphs, Electronic Journal of Linear Algebra 26 (2013), 762–780.
Minerva Catral, Anna Cepek, Leslie Hogben, My Huynh, Kirill Lazebnik, Travis Peters, Michael Young, Zero forcing number, maximum nullity, and path cover number of subdivided graphs, Electronic Journal of Linear Algebra 23 (2012), 906–922.
Justin Cyr, Jason Ekstrand, Nathan Meyers, Crystal Peoples, Justin Peters, Diagonalizing Hermitian Matrices of Continuous Functions, International Journal of Contemporary Mathematical Sciences 8 (2013), 227-234.
Leslie Hogben, My Huynh, Nicole Kingsley, Sarah Meyer, Shanise Walker, Michael Young, Propagation time for zero forcing on a graph, Discrete Applied Mathematics 160 (2012), 1994-2005.
2010
Marie Archer, Minerva Catral, Craig Erickson, Rana Haber, Leslie Hogben, Xavier Martinez-Rivera, Antonio Ochoa, Constructions of potentially eventually positive sign patterns with reducible positive part, Involve 4 (2011), 405-410, 2011.
Marie Archer, Minerva Catral, Craig Erickson, Rana Haber, Leslie Hogben, Xavier Martinez-Rivera, Antonio Ochoa, Potentially eventually exponentially positive sign patterns, Involve 6 (2013), 261-271
Kuejai Jungjaturapit, Timothy Pluta, Reza Rastegar, Alexander Roitershtein, Matthew Temba, Chad N. Vidden, Brian Wu, Trading cookies in a gambler’s ruin scenario, Involve 6 (2013), 191-220.
2009
Jonathan Ackerman, Kimberly Ayers, Eduardo Beltran, Joshua Bonet, Devin Lu, Thomas Rudelius, A Behavioral Characterization of Discrete Time Dynamical Systems over Directed Graphs, Qualitative Theory of Dynamical Systems 13 (2014), 161-180. (2009+2011 REU)
Edgard Almodovar, Laura DeLoss, Leslie Hogben, Kirsten Hogenson, Kaitlyn Murphy, Travis Peters, Camila A. Ramirez, Minimum rank, maximum nullity and zero forcing number for selected graph families, Involve 3 (2010), 371-392.
Christina J. Edholm, Leslie Hogben, My Huynh, Joshua LaGrange, Darren D. Row, Vertex and edge spread of zero forcing number, maximum nullity, and minimum rank of a graph, Linear Algebra and its Applications 436 (2012), 4352–4372.
Arka P. Ghosh, Diana Hay, Vivek Hirpara, Reza Rastegar, Alexander Roitershtein, Ashley Schulties, Jiyeon Suh, Random linear recursions with dependent coefficients, Statistics and Probability Letters 80 (2010), 1597-1605.
Diana Hay, Reza Rastegar, Alexander Roitershtein, Multivariate linear recursions with Markov-dependent coefficients, Journal of Multivariate Analysis 102 (2011), 521-527.
2006
Nathan L. Chenette, Sean V. Droms, Leslie Hogben, Rana Mikkelson, Olga Pryporova, Minimum Rank Of A Tree Over An Arbitrary Field, Electronic Journal of Linear Algebra 16 (2007), 183–186.
Stephen Dupal, Michael Yoshizawa, Design and Optimization of Explicit Runge-Kutta Formulas, Rose-Hulman Undergraduate Mathematics Journal 8 (2007).
Yeon-Jung Seo, Shiliang Chen, Marit Nilsen-Hamilton, Howard A Levine, A mathematical analysis of multiple-target SELEX, Bulletin of Mathematical Biology 72 (2010), 1623-1665.
2005
Jose Ayala-Hoffman, Patrick Corbin, Fritz Colonius, Wolfgang Kliemann, Kelly McConville, Justin R. Peters, Morse Decompositions, Attractors and Chain Recurrence, Proyecciones 25 (2006), 79–110.
Atoshi Chowdhury, Leslie Hogben, Rana Mikkelson, Jude Melancon, Rational Realization of Maximum Eigenvalue Multiplicity of Symmetric Tree Sign Patterns, Linear Algebra and its Applications 418 (2006), 380–393.
Justin P. Peters, Khalid Boushaba, Marit Nilsen-Hamilton, A Mathematical Model for Fibroblast Growth Factor Competition Based on Enzyme Kinetics, Mathematical Biosciences and Engineering 2 (2005), 789–810.
2004
Ghanshyam Bhatt, Lorraine Kraus, Laura Walters, Eric Weber, On Hiding Messages in the Oversampled Fourier Coefficients, Journal of Mathematical Analysis and Applications 320 (2006), pp. 492–498.
Gargi Bhattacharyya, John Hegeman, Joohyung Kim, Jeff Langford, Sung-Yell Song, Some Existence and Construction Results of Polygonal Designs, European Journal of Combinatorics 29 (2008), 1396–1407.
John Bowers, Job Evers, Leslie Hogben, Steve Shaner, Karyn Snider, Amy Wangsness, On completion problems for various classes of P-matrices, Linear Algebra and its Applications 413 (2006) 342–354. (2003+2004 REU)
Doug Doan, Benard Kivunge, Jessica J. Poole, Jonathan D.H. Smith, Tiya Sykes, Misha Teplitskiy, Partial semigroups and and primality indicators in the fractal generation of binomial coefficients to a prime square modulus, Demonstratio Mathematica 42 (2009), 23–39. (2003+2004 REU)
2003
John Bowers, Job Evers, Leslie Hogben, Steve Shaner, Karyn Snider, Amy Wangsness, On completion problems for various classes of P-matrices, Linear Algebra and its Applications 413 (2006) 342–354. (2003+2004 REU)
Doug Doan, Benard Kivunge, Jessica J.Poole, Jonathan D.H. Smith, Tiya Sykes, Misha Teplitskiy, Partial semigroups and and primality indicators in the fractal generation of binomial coefficients to a prime square modulus, Demonstratio Mathematica 42 (2009), 23–39. (2003+2004 REU)