Submissions from 2001
The Long-Term Impact of University Budget Cuts: A Mathematical Model, Emmeline G. de Pillis and Lisette G. de Pillis
A Mathematical Tumor Model with Immune Resistance and Drug Therapy: An Optimal Control Approach, Lisette G. de Pillis and Ami E. Radunskaya
Volume-Preserving Great Circle Flows on the 3-Sphere, Herman Gluck and Weiqing Gu
Uniqueness of Volume-Minimizing Submanifolds Calibrated by the First Pontryagin Form, Daniel A. Grossman and Weiqing Gu
Oxtoby's Pseudocompleteness Revisited, Melvin Henriksen, Ralph Kopperman, Marlon Rayburn, and Aaron R. Todd
A Globalization of the Implicit Function Theorem with Applications to Nonlinear Elliptic Equations, Jon T. Jacobsen
Modeling Control of HIV Infection Through Structured Treatment Interruptions with Recommendations for Experimental Protocol, Shannon Kubiak, Heather Lehr, Rachel Levy, Todd Moeller, Albert Parker, and Edward Swim
Transient Anomalous Diffusion in Poiseuille Flow, Marco Latini '01 and Andrew J. Bernoff
Enumeration of Equicolourable Trees, Nicholas Pippenger
The Fermion–Boson Transformation in Fractional Quantum Hall Systems, John J. Quinn, Arkadiusz Wojs, Jennifer J. Quinn, and Arthur T. Benjamin
Transformation of Statistics in Fractional Quantum Hall Systems, John J. Quinn, Arkadiusz Wojs, Jennifer J. Quinn, and Arthur T. Benjamin
Scroll Waves in the Presence of Slowly Varying Anisotropy with Application to the Heart, S. Setayeshgar and Andrew J. Bernoff
Discrepancy Convergence for the Drunkard's Walk on the Sphere, Francis E. Su
Submissions from 2000
When is |C(X x Y)| = |C(X)||C(Y)|?, O. T. Alas, W. W. Comfort, S. Garcia-Ferreira, Melvin Henriksen, R. G. Wilson, and R. G. Woods
A Rational Solution to Cootie, Arthur T. Benjamin and Matthew T. Fluet '99
What's Best?, Arthur T. Benjamin and Matthew T. Fluet '99
Optimal Token Allocations in Solitaire Knock'm Down, Arthur T. Benjamin, Mark L. Huber, and Matthew T. Fluet '99
Random Approaches to Fibonacci Identities, Arthur T. Benjamin, Gregory M. Levin, Karl Mahlburg '01, and Jennifer J. Quinn
Phased Tilings and Generalized Fibonacci Identities, Arthur T. Benjamin, Jennifer J. Quinn, and Francis E. Su
Counting on Continued Fractions, Arthur T. Benjamin, Francis E. Su, and Jennifer J. Quinn
Existence of Many Positive Nonradial Solutions for a Superlinear Dirichlet Problem on thin Annuli, Alfonso Castro and Marcel B. Finan
Evolution of Positive Solution Curves in Semipositone Problems with Concave Nonlinearities, Alfonso Castro, Sudhasree Gadam, and Ratnasingham Shivaji
Lévy Concentration of Metric Measure Manifolds, Weiqing Gu and Zhongmin Shen
A Look at Biseparating Maps from an Algebraic Point of View, Melvin Henriksen and Frank A. Smith
Procedural Support for Cooperative Negotiations: Theoretical Design and Practical Implementation, Matthias G. Raith and Francis Su
A LeVeque-type Lower Bound for Discrepancy, Francis E. Su
Review: Cake-Cutting Algorithms: Be Fair if You Can, Francis E. Su
Dynamics of Three-Dimensional Thin Film Rupture, Thomas P. Witelski and Andrew J. Bernoff
Submissions from 1999
Bounds on a Bug, Arthur T. Benjamin and Matthew T. Fluet '99
The Best Way to Knock 'm Down, Arthur T. Benjamin and Matthew T. Fluet '99
Why the Player Never Wins in the Long Run at LA Blackjack, Arthur T. Benjamin, Michael Lauzon '00, and Christopher Moore '00
Recounting Fibonacci and Lucas Identities, Arthur T. Benjamin and Jennifer J. Quinn
Unevening the Odds of "Even Up", Arthur T. Benjamin and Jennifer J. Quinn
Magic "Squares" Indeed, Arthur T. Benjamin and Kan Yasuda '97
On the Number of Radially Symmetric Solutions to Dirichlet Problems with Jumping Nonlinearities of Superlinear Order, Alfonso Castro and Hendrik J. Kuiper
An Inverse Function Theorem, Alfonso Castro and J. W. Neuberger
Model Updating by Adding Known Masses and Stiffnesses, Philip D. Cha and Lisette G. de Pillis
Knotty Matrices in Knots, Weiqing Gu and Shenjun Jiang
The Bordalo Order on a Commutative Ring, Melvin Henriksen and Frank A. Smith
Separate Versus Joint Continuity: A Tale of Four Topologies, Melvin Henriksen and R. G. Woods
Global Bifurcation Problems Associated With k-Hessian Operators, Jon T. Jacobsen
Entropy and Enumeration of Boolean Functions, Nicholas Pippenger
Upper and Lower Bounds for the Average-Case Complexity of Path-Search, Nicholas Pippenger
The Computational Complexity of Knot and Link Problems, Nicholas Pippenger, Joel Hass, and Jeffrey C. Lagarias
Large-Amplitude Solutions to the Sivashinsky and Riley–Davis Equations for Directional Solidification, David C. Sarocka, Andrew J. Bernoff, and Louis F. Rossi
Almost Periodic Factorization of Certain Block Triangular Matrix Functions, Ilya M. Spitkovsky and Darryl H. Yong
Rental Harmony: Sperner's Lemma in Fair Division, Francis E. Su
Stability of Self-similar Solutions for Van der Waals Driven Thin Film Rupture, Thomas P. Witelski and Andrew J. Bernoff
Submissions from 1998
Interacting Vortex and Vortex Layer: How Length Scale Affects Entrainment and Ejection, Oliver V. Atassi, Andrew J. Bernoff, and Seth Lichter
Axisymmetric Surface Diffusion: Dynamics and Stability of Self-Similar Pinchoff, Andrew J. Bernoff, Andrea L. Bertozzi, and Thomas P. Witelski
Onset of Superconductivity in Decreasing Fields for General Domains, Andrew J. Bernoff and Peter Sternberg
A Minmax Principle, Index of the Critical Point, and Existence of Sign Changing Solutions to Elliptic Boundary Value Problems, Alfonso Castro, Jorge Cossio, and John M. Neuberger
Positive Solutions for a Concave Semipositone Dirichlet Problem, Alfonso Castro and Ratnasingham Shivaji
Transpose-Free Formulations of Lanczos-Type Methods for Nonsymmetric Linear Systems, Tony F. Chan, Lisette G. de Pillis, and Henk van der Vorst
A Comparison of Iterative Methods for Solving Nonsymmetric Linear Systems, Lisette G. de Pillis
Newton's Cubic Roots, Lisette G. de Pillis
The Multiple Scale Transport Equation in One Space Dimension, Lisette G. de Pillis
The Multiple Scale Wave Equation, Lisette G. de Pillis and Ami E. Radunskaya
Average-Case Lower Bounds for Noisy Boolean Decision Trees, William Evans and Nicholas Pippenger
The Stable 4-dimensional Geometry of the Real Grassmann Manifolds, Weiqing Gu
Global Bifurcation for Monge-Ampère Operators, Jon T. Jacobsen
Optimal Contention-Free Unicast-Based Multicasting in Switch-Based Networks of Workstations, Ran Libeskind-Hadas, Dominic Mazzoni '99, and Ranjith Rajagopalan '99
Tree-Based Multicasting in Wormhole-Routed Irregular Topologies, Ran Libeskind-Hadas, Dominic Mazzoni '99, and Ranjith Rajagopalan '99
Random Interval Graphs, Nicholas Pippenger
On the Maximum Tolerable Noise for Reliable Computation by Formulas, Nicholas Pippenger and William Evans
Convergence of Random Walks on the Circle Generated by an Irrational Rotation, Francis E. Su
Self-similar Asymptotics for Linear and Nonlinear Diffusion Equations, Thomas P. Witelski and Andrew J. Bernoff
Submissions from 1997
The Interaction of a Point Vortex with a Wall-bounded Vortex Layer, Oliver V. Atassi, Andrew J. Bernoff, and Seth Lichter
Enumerating Backgammon Positions: The Perfect Hash, Arthur T. Benjamin and Andrew M. Ross '96
A Sign-Changing Solution for a Superlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio, and John M. Neuberger
On Multiple Solutions of a Nonlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio, and John M. Neuberger
Positive Solution Curves of Semipositone Problems with Concave Nonlinearities, Alfonso Castro, Sudhasree Gadam, and Ratnasingham Shivaji
Numerical Methods for Analyzing the Effects of Uncertainties on the Dynamics of Periodic Structures, Philip D. Cha and Lisette G. de Pillis
A Survey of f-Rings and Some of their Generalizations, Melvin Henriksen
Rings of Continuous Functions in the 1950s, Melvin Henriksen
Joincompact Spaces, Continuous Lattices, and C*-algebras, Melvin Henriksen, Ralph Kopperman, J. Mack, and D. W. B. Somerset
Adaptive Multicast Routing in Wormhole Networks, Ran Libeskind-Hadas, Tom Hehre '96, Andrew Hutchings '98, Mark Reyes '98, and Kevin Watkins '97
Pure versus Impure Lisp, Nicholas Pippenger
Regular Languages and Stone Duality, Nicholas Pippenger
Strong Chromatic Index of Subset Graphs, Jennifer J. Quinn and Arthur T. Benjamin
Quasi-steady Monopole and Tripole Attractors in Relaxing Vortices, Louis F. Rossi, Joseph F. Lingevitch, and Andrew J. Bernoff
Borsuk-Ulam Implies Brouwer: A Direct Construction, Francis E. Su
Submissions from 1996
Positive Solutions for a Semilinear Elliptic Problem with Critical Exponent, Ismail Ali and Alfonso Castro
Existence Results for Semipositone Systems, V. Anuradha, Alfonso Castro, and Ratnasingham Shivaji
The Interaction of a Point Vortex with a Boundary Layer Leading to Eruption, Oliver V. Atassi, Seth Lichter, and Andrew J. Bernoff
Combinatorics and Campus Security, Arthur T. Benjamin
The Steady Boundary Layer due to a Fast Vortex, Andrew J. Bernoff, Harald J. H. M. van Dongen, and Seth Lichter
Radial Solutions to a Dirichlet Problem Involving Critical Exponents when N=6, Alfonso Castro and Alexandra Kurepa
Lower Bounds for Noisy Boolean Decision Trees, William Evans and Nicholas J. Pippenger
Meyer Jerison, 1922-1995, Leonard Gillman and Melvin Henriksen
The Intermediate Value Theorem for Polynomials over Lattice-ordered Rings of Functions, Melvin Henriksen, Suzanne Larson, and Jorge Martinez
Determinants of the Tournaments, Clifford A. McCarthy '94 and Arthur T. Benjamin
Self-Routing Superconcentrators, Nicholas Pippenger
Routing Algorithms for Switching Networks with Probabilistic Traffic, Nicholas Pippenger and Geng Lin
Submissions from 1995
Sensible Rules for Remembering Duals -- The S-O-B Method, Arthur T. Benjamin
How Do I Marry Thee? Let Me Count the Ways!, Arthur T. Benjamin, Cherlyn Converse, and Henry A. Krieger
Optimal Klappenspiel, Arthur T. Benjamin and Derek Stanford '93
Singularities in a Modified Kuramoto-Sivashinsky Equation Describing Interface Motion for Phase Transition, Andrew J. Bernoff and Andrea L. Bertozzi
Branches of Radial Solutions for Semipositone Problems, Alfonso Castro, Sudhasree Gadam, and Ratnasingham Shivaji
Distortion and Evolution of a Localized Vortex in an Irrotational Flow, Joseph F. Lingevitch and Andrew J. Bernoff
