This collection contains articles, books or chapters, working papers, and datasets authored or published by Mathematics and Statistics faculty.

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Submissions from 2022

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AlphaKnot: server to analyze entanglement in structures predicted by AlphaFold methods, Wanda Niemyska, Pawel Rubach, Bartosz A. Gren, Mai Lan Nguyen, Wojciech Garstka, Fernando Bruno da Silva, Eric J. Rawdon, and Joanna I. Sulkowska

Submissions from 2021

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Open knots, Julien Dorier, Dimos Goundaroulis, Eric J. Rawdon, and Andrzej Stasiak

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Knotting spectrum of polygonal knots in extreme confinement, Claus Ernst, Eric J. Rawdon, and Uta Ziegler

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Configurations and knot types of random cylindrical knots used to model knotting in extreme confinement (dataset), Claus Ernst, Uta Ziegler, and Eric J. Rawdon

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Configurations and knot types of random equilateral rooted polygons under spherical confinement with (a) 30 edges and radii between 1.0 and 4.5, and (b) radius 3.0 and edges between 10 and 90 (dataset), Claus Ernst, Uta Ziegler, and Eric J. Rawdon

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Configurations and knot types of random equilateral rooted polygons under spherical confinement with between 10 and 90 edges and radii between 1.0 and 4.5 (dataset), Claus Ernst, Uta Ziegler, and Eric J. Rawdon

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RiFNet: Automated rib fracture detection in postmortem computed tomography, Victor Ibanez, Samuel Gunz, Svenja Erne, Eric J. Rawdon, Garyfalia Ampanozi, Sabine Franckenberg, Till Sieberth, Raffael Affolter, Lars C. Ebert, and Akos Dobay

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x + y: a mathematician's manifesto for rethinking gender (review), Christina P. Knudson

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Likelihood-based inference for generalized linear mixed models: Inference with the R package glmm, Christina P. Knudson, Sydney Benson, Charles Geyer, and Galin Jones

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Causes and timing of recurring subarctic Pacific hypoxia, Karla P. Knudson, Ana C. Ravelo, Ivano W. Aiello, Christina P. Knudson, Michelle K. Drake, and Tatsuhiko Sakamoto

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Knot types of Petaluma knots for 5, 7, 9, 11, and 13 petals (dataset), Addie McCurdy, Jason Parsley, Brandon Tran, Elizabeth Whalen, and Eric J. Rawdon

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Path-cordial abelian groups, Rebecca Patrias and Oliver Pechenik

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Revisiting the Gelman-Rubin diagnostic, Dootika Vats and Christina P. Knudson

Submissions from 2020

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Leading Terms of SL3 Web Invariants, Veronique Bazier-Matte, Guillaume Douville, Alexander Garver, and Rebecca Patrias

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On the axisymmetric steady incompressible Beltrami flows, Pavel Bělík, Xueqing Su, Douglas P. Dokken, Kurt Scholz, and Mikhail M. Shvartsman

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Copula models of economic capital for life insurance companies, Sydney Bensen, Regina Burroughs, Vladimir Ladyzhets, Jessica Mohr, Arkady Shemyakin, David Walczak, and Huan Zhang

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Properties of a q-analogue of zero forcing, Steve Butler, Craig Erickson, Shaun Fallat, H. Tracy Hall, Brenda K. Kroschel, Jephian C-H Lin, Bryan Shader, Nathan Warnberg, and Boting Yang

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Maximum nullity and zero forcing of circulant graphs, Linh Duong, Brenda K. Kroschel, Michael Riddell, Kevin N. Vander Meulen, and Adam Van Tuyl

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Fast updating multipole Coulombic potential calculation, Thomas Höft and Bradley Alpert

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Empirical comparison of skewed t-copula models for insurance and financial data, Liwei Huang and Arkady Shemyakin

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Regional aspects of digital economic development, Nataliya Kravchenko, Svetlana Kuznetsova, Anastasia Ivanova, and Arkady Shemyakin

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Set-valued domino tableaux and shifted set-valued domino tableaux, Florence Maas-Gariepy and Rebecca Patrias

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Dynamics of plane partitions: Proof of the Cameron and Fon-Der-Flaass conjecture, Rebecca Patrias and Oliver Pechenik

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Alexander polynomials and determinants for knot types through 16 crossings (dataset), Eric J. Rawdon and Addie McCurdy

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Economic capital models in life insurance, Arkady Shemyakin, S. Benson, S. Burroughs, and J. Mohr

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Copula model selection for vehicle component failures based on warranty claims, Kathryn Wifvat, John Kumerow, and Arkady Shemyakin

Submissions from 2019

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Estimating probability of a cyber-security breach, Meghan Anthony, Maria Ishmael, Erik Santa, Arkady Shemyakin, Gary Stanull, and Natalie Vandeweghe

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KnotProt 2.0: a database of proteins with knots and other entangled structures, Pawel Dabrowski-Tumanski, Pawel Rubach, Dimos Goundaroulis, Julien Dorier, Piotr Sulkowski, Kenneth C. Millett, Eric J. Rawdon, Andrzej Stasiak, and Joanna I. Sulkowska

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Greene–Kleiman invariants for Sulzgruber insertion, Alexander Garver and Rebecca Patrias

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Dispersion of particulate in solvent cast magnetic thermoplastic polyurethane elastomer composites, Thomas J. Lee, Andrew H. Morgenstern, Thomas Höft, and Brittany Nelson-Cheeseman

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Promotion on generalized oscillating tableaux and web rotation, Rebecca Patrias

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What is Schur positivity and how common is it?, Rebecca Patrias

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Random rules and the ancient history of simulation, Arkady Shemyakin

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Copula models of economic capital for insurance companies, Arkady Shemyakin, Huan Zhang, Sydney Benson, and Regina Burroughs

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Bubble measurement via Hough Transform in highly overlapping conditions, Thomas Shepard and Thomas Höft

Submissions from 2018

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Coincidences among skew Grothendieck polynomials, Ethan Alwaise, Shuli Chen, Alexander Clifton, Rebecca Patrias, Rohil Prasad, Madeline Shinners, and Albert Zheng

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Jacobi–Trudi determinants over finite field, Ben Anzis, Shuli Chen, Yibo Gao, Jesse Kim, Zhaoqi Li, and Rebecca Patrias

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Possible implications of self-similarity for tornadogenesis and maintenance, Pavel Bělík, Brittany Dahl, Douglas P. Dokken, Corey K. Potvin, Kurt Scholz, and Mikhail M. Shvartsman

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Open knotting, Erin Brine-Doyle, Madeline Shogren, Emily Vecchia, and Eric J. Rawdon

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Average crossing number and writhe of knotted random polygons in confinement, Yuanan Diao, Claus Ernst, Eric J. Rawdon, and Uta Ziegler

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Relative frequencies of alternating and non-alternating prime knots and composite knots in random knot spaces, Yuanan Diao, Claus Ernst, Eric J. Rawdon, and Uta Ziegler

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The knot spectrum of random knot spaces, Yuanan Diao, Claus Ernst, Eric J. Rawdon, and Uta Ziegler

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Total curvature and total torsion of knotted random polygons in confinement, Yuanan Diao, Claus Ernst, Eric J. Rawdon, and Uta Ziegler

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Resequencing calculus, Dave Dwyer, Mark Gruenwald, Joe Stickles, and Michael Axtell

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Enumerations relating braid and commutation classes, Susanna Fishel, Elizabeth Milicevic, Rebecca Patrias, and Bridget Eileen Tenner

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Minuscule reverse plane partitions via quiver representation, Alexander Garver, Rebecca Patrias, and Hugh Thomas

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Doppelgängers: bijections of plane partitions, Zachary Hamaker, Rebecca Patrias, Oliver Pechienik, and Nathan Willliams

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Bering: Time series analysis for Bering Sea climate data (R software package), Christina P. Knudson

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stable GR: A stable Gelman-Rubin diagnostic for Markov chain Monte Carlo (R software package), Christina P. Knudson

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glmm: Generalized Linear Mixed Models via Monte Carlo Likelihood Approximation (R software package), Christina P. Knudson, Charles J. Geyer, and Sydney Benson

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Promotion on generalized oscillating tableaux and web rotation, Rebecca Patrias

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Dual filtered graphs, Rebecca Patrias and Pavlo Pylyavskyy

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The probability of positivity in symmetric and quasisymmetric functions, Rebecca Patrias and S. van Willigenburg

Submissions from 2017

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Applications of a vortex gas models to tornadogenesis and maintenance, Pavel Bělík, Douglas P. Dokken, Corey K. Potvin, Kurt Scholz, and Mikhail M. Shvartsman

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Zero forcing propagation time on oriented graphs, Adam Berliner, Chassidy Bozeman, Steve Butler, Minerva Catral, Leslie Hogben, Brenda K. Kroschel, Jephian C-H Lin, Nathan Warnberg, and Michael Young

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Knot fertility and lineage, Jason Canterella, Allison Henrich, Elsa Magness, Oliver O'Keefe, Kayla Perez, Eric J. Rawdon, and Briana Zimmer

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Time-to-default analysis of mortgage portfolios, M. Galloway, A. Johnson, and Arkady Shemyakin

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Shifted Hecke insertion and K-theory of OG(n,2n+ 1), Zachary Hamaker, Adam Keilthy, Rebecca Patrias, Lillian Webster, Yinuo Zhang, and Shuqi Zhou

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Shifted Hecke insertion andK-theory of OG(n,2n+ 1), Zachary Hamaker, Adam Keilthy, Rebecca Patrias, Lillian Webster, Yinuo Zhang, and Shuqi Zhou

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Modeling macro-level credit risk based on copulas (in Russian), K. Kazakova, A. Kniazev, O. Lepekhin, and Arkady Shemyakin

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Introduction to bayesian estimation and copula models of dependence, Arkady Shemyakin and Alexander Kniazev

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Statistical models in finance and insurance, Arkady Shemyakin and Vladimir Ladyzhets

Submissions from 2016

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Factorizations in self-idealizations of PIRs and UFRs, Michael Axtell, Nicholas R. Baeth, and Joe Stickles

New directions for calculus, Michael Axtell, S. Doree, and T. Dray

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Cut-structures in zero-divisor graphs of commutative rings, Mike Axtell, Nicholas R. Baeth, and Joe Stickles

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Assessing the Impact of a Multi-Disciplinary Peer-Led-Team Learning Program on Undergraduate STEM Education, Kerri Carlson, Dayius Turvold Celotta, Erin Curran, Mithra Marcus, and Melissa Loe

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LinkProt: A database collecting information about biological links, Pawel Dabrowski-Tumanski, Aleksandra I. Jarmolinska, Wanda Niemyska, Eric J. Rawdon, Kenneth C. Millett, and Joanna I. Sulkowska

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K-Knuth equivalence for increasing tableau, Christian Gaetz, Michelle Mastrianni, Rebecca Patrias, Hailee Peck, Colleen Robichaux, Davic Schwein, and Ka Yu Tam

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Bayesian copula models for statistical dependence of national stock indices, Nataliya Kangina, Alexander Knyazev, Oleg Lepekhin, and Arkady Shemyakin

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Modeling joint distributions of national stock indices, Nataliya Kangina, Alexander Knyazev, Oleg Lepekhin, and Arkady Shemyakin

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Antipode formulas for some combinatorial Hopf algebras, Rebecca Patrias

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Combinatorial constructions motivated by K-theory of the Grassmannian, Rebecca Patrias

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Combinatorics of K-theory via aK-theoretic Poirier–Reutenauer bialgebra, Rebecca Patrias and Pavlo Pylyavskyy

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How topoisomerase IV can efficiently unknot and decatenate negatively supercoiled DNA molecules without causing their torsional relaxation, Eric J. Rawdon, Julien Dorier, Dusan Racko, Kenneth C. Millett, and Andrzej Stasiak

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Bayesian model selection for hierarchical copulas and vines, Arkady Shemyakin

Bayesian models of diversification of the international markets with applications of hierarchical copulas and vines, Arkady Shemyakin

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Joint distribution of stock Indices: Methodological aspects of construction and selection of copula models, Arkady Shemyakin

Submissions from 2015

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τ-U-factorizations and their graphs in commutative rings with zero divisors, Michael Axtell and C. Mooney

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Clinical signs, treatment, and outcome in cats with myeloma-related disorder receiving systemic therapy, Claire M. Cannon, Christina P. Knudson, and Antonella Borgatti

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Safety of ultrasound-guided fine-needle aspiration of the feline pancreas: a case-control study, Sarah K. Crain, Leslie C. Sharkey, Amy P. Cordner, Christina P. Knudson, and P. Jane Armstrong

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Link lengths and their growth powers, Youngsik Huh, Sungjong No, Seungsang Oh, and Eric J. Rawdon

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Knotting fingerprints resolve knot complexity and knotting pathways in ideal knots, David A.B. Hyde, Joshua Henrich, Eric J. Rawdon, and Kenneth C. Millett

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KnotProt: a database of proteins with knots and slipknots, Michal Jamroz, Wanda Niemyska, Eric J. Rawdon, Andrzej Stasiak, Kenneth C. Millett, Piotr Sulkowski, and Joanna I. Sulkowska

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A comparative study of regional innovative entrepreneurship in Russia and the United States, Natalie A. Kravchenko, Svetlana A. Kuznetsova, Almira Yusupova, Thadavill Jithendranathan, Lorman Lundsten, and Arkady Shemyakin

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Dual filtered graphs, Rebecca Patrias and Pavlo Pylyavskyy

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Subknots in ideal knots, random knots, and knotted proteins, Eric J. Rawdon, Kenneth C. Millett, and Andrzej Stasiak

Submissions from 2014

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An exploration of ideal-divisor graphs, Michael Axtell, Joe Stickles, Lane Bloome, Rob Donovan, Paul Milner, Hailee Peck, Abigail Richard, and Tristan Williams

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An investigation into the effectiveness of pre-class reading questions, Mike Axtell and William Turner

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Fractal powers in Serrin’s vortex solutions, Pavel Bělík, Douglas P. Dokken, Kurt Scholz, and Mikhail M. Shvartsman

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The spectrum of tightly knotted flux tubes in QCD, Roman V. Buniy, Jason Cantarella, Thomas W. Kephart, and Eric J. Rawdon

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Tight knot spectrum in QCD, Roman V. Buniy, Jason Cantarella, Thomas W. Kephart, and Eric J. Rawdon

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The knot spectrum of confined random equilateral polygons, Yuanan Diao, Claus Ernst, Anthony Montemayor, Eric J. Rawdon, and Uta Ziegler

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Conditions for a totally positive completion in the case of a symmetrically placed cycle, Charles R. Johnson and Brenda K. Kroschel

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Platelet volume and plateletcrit in dogs with presumed primary immune-mediated thrombocytopenia, D. Schwartz, L. Sharkey, P. J. Armstrong, Christina P. Knudson, and J. Kelley

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Hellinger distance and non-informative priors, Arkady Shemyakin

Submissions from 2013

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Graphical representations of factorizations in commutative rings, Michael Axtell, Nicholas Baeth, and Joe Stickles

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All monofilament knots assume sliding conformation in vivo, Daniel Davis, Donna M. Pellowski, and Eric J. Rawdon

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Single image DC-removal method for increasing the precision of two-dimensional Fourier transform profilometry, Thomas Höft

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Identifying knots in proteins, Kenneth C. Millett, Eric J. Rawdon, Andrzej Stasiak, and Joanna I. Sulkowska

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Knot localization in proteins, Eric J. Rawdon, Kenneth C. Millett, Joanna I. Sulkowska, and Andrzej Stasiak