Publications by the Mathematics Department faculty members are collected here.

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Submissions from 2021

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A single-scale fractal feature for classification of color images: A virus case study, Walker Arce, James E. Pierce, and Mihaela T. Velcsov

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Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound, Christopher S. Goodrich, Benjamin Lyons, Andrea Scapellato, and Mihaela T. Velcsov

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Analytical and numerical monotonicity results for discrete fractional sequential differences with negative lower bound, Christopher S. Goodrich, Benjamin Lyons, and Mihaela T. Velcsov

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Entropy analysis of Boolean network reduction according to the determinative power of nodes, Matthew J. Pelz and Mihaela T. Velcsov

Submissions from 2020

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Approximate and Exact Merging of Knapsack Constraints with Cover Inequalities, Fabio Vitor and Todd Easton

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Boolean Network Topologies and the Determinative Power of Nodes, Bronson W. Wacker, Mihaela T. Velcsov, and Jim A. Rogers

Submissions from 2019

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Analysis of optimal superconvergence of a local discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems, Mahboub Baccouch

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Weighted composition operators on the Hilbert Hardy space of a half-plane, Valentin Matache

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Two dimensional search algorithms for linear programming, Fabio Torres Vitor

Submissions from 2018

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Identification of Biologically Essential Nodes via Determinative Power in Logical Models of Cellular Processes, Trevor Pentzien, Bhanwar L. Puniya, Tomáš Helikar, and Mihaela Teodora Matache

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Not So Many Non-Disjoint Translations, Andrzej Roslanowski and Vyacheslav V. Rykov

Submissions from 2017

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AN OPTIMAL A POSTERIORI ERROR ESTIMATES OF THE LOCAL DISCONTINUOUS GALERKIN METHOD FOR THE SECOND-ORDER WAVE EQUATION IN ONE SPACE DIMENSION, Mahboub Baccouch

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Nonminimal Cyclic Invariant Subspaces of Hyperbolic Composition Operators, Valentin Matache

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A flexible distribution class for count data, Kimberly F. Sellers, Andrew W. Swift, and Kimberly S. Weems

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The double pivot simplex method, Fabio Vitor and Todd Easton

Submissions from 2016

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Analysis of a posteriori error estimates of the discontinuous Galerkin method for nonlinear ordinary differential equations, Mahboub Baccouch

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The Discontinuous Galerkin Finite Element Method for Ordinary Differential Equations, Mahboub Baccouch

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Analysis of optimal error estimates and superconvergence of the discontinuous Galerkin method for convection-diffusion problems in one space dimension, Mahboub Baccouch and Helmi Temimi

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Some New Refinements of the Arithmetic, Geometric and Harmonic Mean Inequalities with Applications, Steven G. From and R. Suthakaran

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Logical Reduction of Biological Networks to Their Most Determinative Components, Mihaela Teodora Matache and Valentin Matache

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Invertible and normal composition operators on the Hilbert Hardy space of a half–plane, Valentin Matache

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Systems Perturbation Analysis of a Large-Scale Signal Transduction Model Reveals Potentially Influential Candidates for Cancer Therapeutics, Bhanwar L. Puniya, Laura Allen, Colleen Hochfelder, Mahbubul Majumder, and Tomáš Helikar

Submissions from 2015

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Asymptotically exact local discontinuous Galerkin error estimates for the linearized Korteweg-de Vries equation in one space dimension, Mahboub Baccouch

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Difference equation for tracking perturbations in systems of Boolean nested canalyzing functions, Elena S. Dimitrova, Oleg I. Yordanov, and Mihaela Teodora Matache

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Community Chairs as a Catalyst for Campus Collaboration in STEM, Neal Grandgenett, David Boocker, Hesham Ali, Angela M. Hodge, Brian Dorn, and Christine E. Cutucache

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On spectra of composition operators, Valentin Matache

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Improving the solution time of integer programs by merging knapsack constraints with cover inequalities, Fabio Vitor

Submissions from 2014

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Global convergence of a posteriori error estimates for a discontinuous Galerkin method for one-dimensional linear hyperbolic problems, Mahboub Baccouch

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Superconvergence and a posteriori error estimates of a local discontinuous Galerkin method for the fourth-order initial-boundary value problems arising in beam theory, Mahboub Baccouch

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Sensitivity analysis of biological Boolean networks using information fusion based on nonadditive set functions, Naomi Kochi, Tomáš Helikar, Laura Allen, Jim A. Rogers, Zhenyuan Wang, and Mihaela Teodora Matache

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Isometric weighted composition operators, Valentin Matache

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Small-World Properties of Facebook Group Networks, Jason Wohlgemuth and Mihaela Teodora Matache

Submissions from 2013

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A Comprehensive, Multi-Scale Dynamical Model of ErbB Receptor Signal Transduction in Human Mammary Epithelial Cells, Tomáš Helikar, Naomi Kochi, Bryan Kowal, Manjari Dimri, Mayumi Naramura, Srikumar M. Raja, Vimla Band, Hamid Band, and Jim A. Rogers

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Phase transition of Boolean networks with partially nested canalizing functions, Kayse Jansen and Mihaela Teodora Matache

Submissions from 2012

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Bio-Logic Builder: A Non-Technical Tool for Building Dynamical, Qualitative Models, Tomáš Helikar, Brian Kowal, Alex Madrahimov, Manish Shrestha, Jay Pedersen, Kahani Limbu, Ishwor Thapa, Thaine Rowley, Rahul Satalkar, Naomi Kochi, John Konvalina, and Jim A. Rogers

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The Cell Collective: toward an open and collaborative approach to systems biology., Tomáš Helikar, Brian Kowal, Sean McClenathan, Mitchell Bruckner, Thaine Rowley, Alex Madrahimov, Ben Wicks, Manish Shrestha, Kahani Limbu, and Jim A. Rogers

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Mean-field Boolean network model of a signal transduction network, Naomi Kochi and Mihaela Teodora Matache

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Numerical Ranges of Composition Operators with Inner Symbols, Valentin Matache

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Composition Operators on a Class of Analytic Function Spaces Related to Brennan's Conjecture, Valentin Matache and Wayne Smith

Submissions from 2011

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Boolean Modeling of Biochemical Networks, Tomáš Helikar, Naomi Kochi, John Konvalina, and Jim A. Rogers

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Composition Operators Whose Symbols Have Orthogonal Powers, Valentin Matache

Submissions from 2010

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Galerkin methods for parabolic problems, Slimane Adjerid and Mahboub Baccouch

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A new nonlinear classifier with a penalized signed fuzzy measure using effective genetic algorithm, Julia Hua Fang, Maria L. Rizzo, Honggang Wang, Kimberly Espy, and Zhenyuan Wang

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When is the numerical range of a nilpotent matrix circular?, Valentin Matache and Mihaela Teodora Matache

Submissions from 2009

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ChemChains: a platform for simulation and analysis of biochemical networks aimed to laboratory scientists, Tomáš Helikar and Jim A. Rogers

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On the sensitivity to noise of a Boolean function, Mihaela Teodora Matache and Valentin Matache

Submissions from 2008

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Dynamical behavior and influence of stochastic noise on certain generalized Boolean networks, Gary L. Beck and Mihaela Teodora Matache

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Dynamics of Directed Boolean Networks under Generalized Elementary Cellular Automata Rules, with Power-Law Distributions and Popularity Assignment of Parent Nodes, Ray Goodman and Mihaela T. Velcsov

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Emergent decision-making in biological signal transduction networks, Tomáš Helikar, Jack Heidel, Jim A. Rogers, and Jimmy Rogers

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Weighted Composition Operators on H² and Applications, Valentin Matache

Submissions from 2007

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Clinical Experience and Examination Performance: Is There a Correlation?, Gary L. Beck, Mihaela Teodora Matache, Carrie Riha, Katherine Kerber, and Frederick A. McCurdy

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Dynamics of asynchronous random Boolean networks with asynchrony generated by stochastic processes, Xutao Deng, Huimin Geng, and Mihaela Teodora Matache

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The Stabilizing Effect of Noise on the Dynamics of a Boolean Network, Christopher S. Goodrich and Mihaela Teodora Matache

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Distances Between Composition Operators, Valentin Matache

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S-Toeplitz Composition Operators, Valentin Matache

Submissions from 2006

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Asynchronous Random Boolean Network Model with Variable Number of Parents based on Elementary Cellular Automata Rule 126, Mihaela Teodora Matache

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n–localization property, Andrzej Rosłanowski

Submissions from 2005

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On Convergence to the Denjoy-Wolff Point, P. S. Bourdon, Valentin Matache, and J. H. Shapiro

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Asynchronous random Boolean network model based on elementary cellular automata rule 126, Mihaela Teodora Matache and Jack Heidel

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Operator Self-Similar Processes On Banach Spaces, Mihaela Teodora Matache and Valentin Matache

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Queuing Systems with Multiple FBM-Based Traffic Models, Mihaela Teodora Matache and Valentin Matache

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A Short Proof of a Characterization of Inner Functions in Terms of the Composition Operators they Induce, Valentin Matache

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Convergent Sequences of Composition Operators, Valentin Matache

Submissions from 2004

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Palindrome-Polynomials with Roots on the Unit Circle, John Konvalina and Valentin Matache

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A Random Boolean Network Model and Deterministic Chaos, Mihaela Teodora Matache and Jack Heidel

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A Fixed Point Theorem for Analytic Functions, Valentin Matache

Submissions from 2001

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Composition operators and a pull-back measure formula, Valentin Matache

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Numerical Ranges of Composition Operators, Valentin Matache

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ITERATION OF λ-COMPLETE FORCING NOTIONS NOT COLLAPSING λ+, Andrzej Roslanowski

Submissions from 1999

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Composition Operators on Hardy Spaces of a Half-Plane, Valentin Matache

Submissions from 1998

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The Eigenfunctions of a Certain Composition Operator, Valentin Matache

Submissions from 1995

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Galois module structure of ideals in wildly ramified cyclic extensions of degree p2, Gove Griffith Elder

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Spectral properties of operators having dense orbits, Valentin Matache

Submissions from 1994

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Operator Equations and Invariant Subspaces, Valentin Matache

Submissions from 1990

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A Statistical Theory of Digital Circuit Testability, Sharad C. Seth, Vishwani D. Agrawal, and Hassan Farhat

Submissions from 1989

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A Theory of Testability with Application to Fault Coverage Analysis, Sharad Seth, Vishwani Agrawal, and Hassan Farhat

Submissions from 1988

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Test Generation by Fault Sampling, Vishwani Agrawal, Hassan Farhat, and Sharad C. Seth

Submissions from 1987

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Unitary Weighted Composition Operators, Valentin Matache