**Papers**

Stability and Fluctuations in a Simple Model of Phonetic Category Change.

B. Goodman, P.Tupper.

2017.

Effects of Limiting Memory Capacity on the Behaviour of Exemplar Dynamics.

B. Goodman, P.Tupper.

2017.

Connectionist approaches to generative phonology

J. Alderete, P. Tupper.

To appear in A. Bosch and S.J. Hannahs (eds.), *
The Routledge handbook of phonological theory.*, 2017.

A Dynamic Neural Field Model of Speech Cue Compensation

G. Jenkins, P. Tupper.

*Proceedings of the 28th Annual Meeting of the Cognitive Science
Society*, 2016.

Which Learning Algorithms Can Generalize Identity-Based Rules to Novel Inputs?

P. Tupper, B. Shahriari.

*Proceedings of the 28th Annual Meeting of the Cognitive Science
Society*, 2016.

Constant distortion embeddings of symmetric diversities.

D. Bryant, P. Tupper.

*Analysis and Geometry of Metric Spaces*, 2016.

A diversity analogue of the Urysohn metric space.

D. Bryant, A. Nies, P. Tupper.

2015.

Exemplar Dynamics and Sound Merger in Language.

Paul Tupper.

*SIAM Journal on Applied Mathematics*,
2015.

Convergence of a Metropolized Integrator for Stochastic Differential
Equations with Variable Diffusion Coefficient.

Paul Tupper, Xin Yang.

2014.

Exemplar Dynamics Models of the Stability of Phonological Categories.

Paul F. Tupper.

*Proceedings of the 26th Annual Meeting of the Cognitive Science
Society*, 2014.

Diversities and the Geometry of Hypergraphs.

David Bryant and Paul F. Tupper.

*Discrete Math and Theoretical Computer Science*, 2014.

Phonological
constraint induction in a connectionist network: learning OCP-Place
constraints from data.

John Alderete, Paul Tupper, Stefan A. Frisch.

*Language Sciences,* May 2013.

Supplemental materials: data
supplement, software
supplement.

Phonotactic learning without a priori constraints: Arabic root cooccurrence
restrictions revisited.

John Alderete, Paul Tupper, Stefan A. Frisch.

*Proceedings of the 48th annual meeting of the Chicago Linguistics
Society*, 2012.

Math supplement.

A Paradox of State-Dependent Diffusion and How to Resolve It.

Paul Tupper, Xin Yang.

*Proceedings of the Royal Society
A*, 2012.

Hyperconvexity and Tight Span Theory for Diversities.

David Bryant, Paul Tupper.

*Advances in Mathematics*, December
2012.

A stochastic branching-diffusion model for gene expression.

David Cottrell, Peter Swain, Paul Tupper.

*Proceedings of the National Academy of Sciences.* June 2012.

Sonority and Syllabification in a Connectionist Network: An Analysis of
BrbrNet.

Paul Tupper and Michael Fry.

*The Sonority
Controversy*, Steve Parker, ed. 2012.

On the well-posedness of the stochastic Allen-Cahn equation in
two dimensions.

Marc Ryser, Nilima Nigam, Paul Tupper.

*Journal of Computational Physics*, March 2012.

Improving the numerical convergence of viscous-plastic sea
ice models with the Jacobian-free Newton-Krylov method.

Jean-François Lemieux, Bruno Tremblay, Jan Sedláček, Paul Tupper, Stephen Thomas, David Huard and Jean-Pierre Auclaire.

*Journal of Computational Physicsi*, January 2010.

The Relation between Approximation in Distribution and Shadowing in Molecular Dynamics.

P. F. Tupper.

*SIAM Journal on Applications of Dynamical Systems*, June 2009.

Weak Convergence in the Prokhorov Metric of Methods for
Stochastic Differential Equations.

B. Charbonneau, Y. Svyrydov, P. F. Tupper.

*IMA Journal of Numerical Analysis*, February 2009.

Phase Field Crystals as a Coarse-Graining in Time of Molecular Dynamics.

P. F. Tupper, Martin Grant.

*Europhysics Letters*, 81 No. 4 (February 2008) 40007.

A Conjecture about Molecular Dynamics.

P. F. Tupper.

*Mathematics and Computation, a Contemporary View: The
Abel Symposium 2006*. Chapter 5 November 2008.

Energy Drift in Molecular Dynamics Simulations.

D. Cottrell and P. F. Tupper.

*BIT Numerical Mathematics.* Volume 47, No 3, September 2007, 507-523.

Computing Statistics for Hamiltonian Systems: A Case Study.

P. F. Tupper.

*Journal of Computational and Applied Mathematics*, Volume 205, Issue 2,
August 2007, 826-834.

Continuous and Tractable models for the Variation of Evolutionary Rates.

T. Lepage, S. Lawi, P. Tupper, D. Bryant

*Mathematical Biosciences*, Volume 199, Issue 2, February 2006, Pages 216-233.

Ergodicity and the Numerical Simulation of Hamiltonian Systems.

P. F. Tupper.

*SIAM Journal on Applied Dynamical Systems*, v. 4, 2005.

A Test Problem for Molecular Dynamics Integrators.

P. F. Tupper.

*IMA Journal of Numerical Analysis*, v. 25, 2005.

Adaptive Model Reduction for Chemical
Kinetics.

P. F. Tupper.

*BIT Numerical Mathematics*, June 2002.

Further information about this
paper.

Long Term Behaviour of Large Mechanical Systems with Random Initial Data.

R. Kupferman, A. M. Stuart, J. R. Terry, P. F. Tupper.

*Stochastics and Dynamics*, December 2002.

A Non-Existence Result for Hamiltonian Integrators.

P. F. Tupper. 2006.