This collection features articles and book reviews written by faculty in the Department of Mathematics at Fairfield University.
Submissions from 2022
Mathematical Identity and the Role of the Educator, Kimberly M. Barba
Submissions from 2021
The Mathematical Mindsets and Mathematical Identities Revealed in Social Media Discourse, Kimberly M. Barba
Submissions from 2018
Exponential decay of correlations for finite horizon Sinai billiard flows, Vviane Baladi, Mark Demers, and Carlangelo Liverani
The Portrayal of Mathematicians and Mathematics in Popular Culture, Kimberly M. Barba
Secure Passwords Using Combinatorial Group Theory, Gilbert Baumslag, Benjamin Fine, Anja Moldenhauer, and Gerhard Rosenberger
Fluctuation of the entropy production for the Lorentz gas under small external forces, Mark Demers, Luc Rey-Bellet, and Hong-Kun Zhang
Orderable groups, elementary theory, and the Kaplansky conjecture, Benjamin Fine, Anthony Gaglione, Gerhard Rosenberger, and Dennis Spellman
Axioms for the fixed point index of n-valued maps, and some applications, Christopher P. Staecker
Submissions from 2017
The Vibration Spectrum of Two Euler–Bernoulli Beams Coupled Via a Dissipative Joint, Chris Abriola, Matt Coleman, Aglika Darakchieva, and Tyler Wales
Submissions from 2016
A comparison of reproductive patterns and adult dispersal in sympatric introduced and native marine crabs: implications for species characteristics of invaders, Diane J. Brousseau and Laura McSweeney
Cryptographic Protocols Based on Nielsen Transformations, Benjamin Fine, Anja IS Moldenhauer, and Gerhard Rosenberger
A Construction of Totally Reflexive Modules, Rahmati Hamid, Janet Striuli, and Roger Wiegand
Submissions from 2012
The Wecken property for random selfmaps on surfaces with boundary, Jacqueline Brimley, Matthew Griisser, Allison Miller, and Christopher P. Staecker
Behavior of the escape rate function in hyperbolic dynamical systems, Mark Demers and Paul Wright
Axioms for the coincidence index of maps between manifolds of the same dimension, Daciberg L. Goncalves and Christopher P. Staecker
A Nielsen theory for coincidences of iterates, Philip Heath and Christopher P. Staecker
The asymptotic density of Wecken maps on surfaces with boundary, Seungwon Kim and Christopher P. Staecker
Submissions from 2011
Vertex maps on graphs-trace theorems, Chris Bernhardt
On Lyndon's Equation in Some Lambda-Free Groups and HNN Extensions, Laura Ciobanu, Benjamin Fine, and Gerhard Rosenberger
Entropy, Lyapunov exponents and escape rates in open systems, Mark Demers, Paul Wright, and Lai-Sang Young
Spectral analysis of the transfer operator for the Lorentz gas, Mark Demers and Hong-Kun Zhang
Surface Groups Within Baumslag Doubles, Benjamin Fine and Gerhard Rosenberger
Dynamics of random selfmaps of surfaces with boundary, Seungwon Kim and Christopher P. Staecker
Maps on graphs can be deformed to be coincidence-free, Christopher P. Staecker
Nielsen equalizer theory, Christopher P. Staecker
Remnant inequalities and doubly-twisted conjugacy in free groups, Christopher P. Staecker
Submissions from 2010
Existence and Convergence Properties of Physical Measures for Certain Dynamical Systems with Holes, Henk Bruin, Mark Demers, and Ian Melbourne
Functional Norms for Young Towers, Mark Demers
Escape rates and physically relevant measures for billiards with small holes, Mark Demers, Paul Wright, and Lai-Sang Young
Typical elements in free groups are in different doubly-twisted conjugacy classes, Christopher P. Staecker
Submissions from 2009
Evil twins alternate with odious twins, Chris Bernhardt
A family of pseudo-Anosov maps, Mark Demers and Marciej P. Wojtkowski
A formula for the coincidence Reidemeister trace of selfmaps on bouquets of circles, Christopher P. Staecker
Axioms for a local Reidemeister trace in fixed point and coincidence theory on differentiable manifolds, Christopher P. Staecker
Submissions from 2008
Stability of Statistical Properties in Two-Dimensional Piecewise Hyperbolic Maps, Mark Demers and Carlangelo Liverani
Submissions from 2007
Reflections on Discriminating Groups, Gilbert Baumslag, Benjamin Fine, Anthony M. Gaglione, and Dennis Spellman
Witten's nonabelian localization for noncompact Hamiltonian spaces, Stephen F. Sawin
On the uniqueness of the coincidence index on orientable differentiable manifolds, Christopher P. Staecker
Submissions from 2006
Vertex Maps for Trees: Algebra and Periods of Periodic Orbits, Chris Bernhardt
Escape rates and conditionally invariant measures, Mark Demers and Lai-Sang Young
An Analysis of Four Spectral Control Charts, Laura McSweeney
Quantum groups at roots of unity and modularity, Stephen F. Sawin
Submissions from 2005
Deterministic models of the simplest chemical reactions, Leonid A. Bunimovich and Mark Demers
Markov extensions and conditionally invariant measures for certain logistic maps with small holes, Mark Demers
Markov extensions for dynamical systems with holes: an application to expanding maps of the interval, Mark Demers
Using Excel to Create Interactive Statistics Worksheets, Laura McSweeney
Submissions from 2004
Three-dimensional 2-framed TQFTS and surgery, Stephen F. Sawin
Trigonometric Identities on a Graphing Calculator, Joan Wyzkoski Weiss
Submissions from 2003
Assessing the math online tool: A progress report, Laura McSweeney and Joan Wyzkoski Weiss
Submissions from 2002
Groups Whose Universal Theory Is Axiomatizable by Quasi-Identities, Benjamin Fine, Anthony M. Gaglione, A. G. Myasnikov, and Dennis Spellman
Invariants of spin three-manifolds from Chern-Simons theory and finite-dimensional Hopf algebras, Stephen F. Sawin
Jones-Witten invariants for nonsimply connected Lie groups and the geometry of the Weyl alcove, Stephen F. Sawin
Submissions from 2001
Discriminating Groups, Benjamin Fine, A. G. Myasnikov, Anthony M. Gaglione, and Dennis Spellman
Submissions from 1999
Beyond kappa: A review of interrater agreement measures, Mousumi Banerjee, Michelle Capozzoli, Laura McSweeney, and Debajyoti Sinha
Submissions from 1998
Centrality and the KRH invariant, Louis H. Kauffman, David Radford, and Stephen F. Sawin
Submissions from 1997
On finiteness of certain Vassiliev invariants, Louis H. Kauffman, Masahico Saito, and Stephen F. Sawin
Functional integration on spaces of connections, Stephen F. Sawin and John C. Baez
Submissions from 1996
On the Ordering of N-Modal Cycles, Chris Bernhardt
Submissions from 1992
Comparing Periodic Orbits of Maps of the Interval, Chris Bernhardt, E. Coven, M. Misiurewicz, and Irene Mulvey
IBM Software for Finite Mathematics, Part II, Joan Wyzkoski Weiss
Submissions from 1991
Analysis of Vibration Eigenfrequencies of a Thin Plate by the Keller-Rubinow Wave Method .1. Clamped Boundary-Conditions with Rectangular or Circular Geometry, G. Chen, Matt Coleman, and J.X. Zhou
IBM Software for Finite Mathematics, Part I, Joan Wyzkoski Weiss
Submissions from 1987
An Application of Matrices to Space Shuttle Technology, Joan Wyzkoski Weiss
Submissions from 1983
Computer Graphics Applications to Crew Displays, Joan Wyzkoski Weiss
