**Papers**

Negative type diversities, a multi-dimensional analogue of negative type metrics.

Pei Wu, D. Bryant, P. Tupper.

A Dynamic Neural Gradient Model of Two-Item and Intermediate Transposition

G. Jenkins, P. Tupper.

*Neural Computation*, 2018.

Game Theoretic Models of Clear versus Plain Speech

P. Tupper, J. Jian, K.Leung, Y. Wang.

*Proceedings of the 30th Annual Meeting of the Cognitive Science
Society*, 2018.

Phonological regularity, perceptual biases, and the role of grammar in speech error analysis.

J. Alderete, P. Tupper.

*WIREs Cognitive Science*, 2018.

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

B. Goodman, P.Tupper.

*SIAM Journal on Applications of Dynamical Systems,* 2018.

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

B. Goodman, P.Tupper.

*Journal of Applied Probability,* 2018.

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.* 2018.

A Universal Separable Diversity.

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

*Analysis and Geometry of Metric Spaces*, 2018.

A modeling link between cognitive and biological homeostasis

G. Jenkins, J. I. Barnes, P. Tupper, M. Blair.

*Proceedings of the 29th Annual Meeting of the Cognitive Science
Society*, 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.

Exemplar Dynamics and Sound Merger in Language.

Paul Tupper.

*SIAM Journal on Applied Mathematics*,
2015.

A dynamic neural field model of self-regulated
eye movements during category learning.

J. I. Barnes, M. R. Blair, P. F. Tupper, R. C. Walshe.

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