Publications 

    1. "Fixed points imply chaos for a class of differential inclusions that arise in economic models,'' (with Brian Raines), Transactions of the American Mathematical Society, Volume 364, Number 5, May 2012, pp. 2479-2492.
    2. "Chaos and Capacity Utilization under Increasing Returns to Scale," Journal of Economic Behavior & Organization, Volume 77, Issue 2, February 2011, pp. 147-162.
    3. "Chaotic Sets and Euler Equation Branching," (with Brian Raines), Journal of Mathematical Economics, Volume 46, Issue 6, November 2010, pp. 1173-1193.
    4. "Basins of Measures on Inverse Limit Spaces for the Induced Homeomorphism," (with Judy Kennedy and Brian Raines), Ergodic Theory and Dynamical Systems, Volume 30, Issue 04, August 2010, pp. 1119-1130.
    5. "Balanced-Budget Rules: Chaos and Deterministic Sunspots," Journal of Economic Theory, Volume 145, Issue 3, May 2010, pp. 1060-1085.
    6. "Chaos and Sector-Specific Externalities," Journal of Economic Dynamics & Control, Volume 33,   Issue 12, pp. 2030-2046, December 2009.
    7. "Uniform Measures on Inverse Limit Spaces," Applicable Analysis, Volume 88, No. 2, February 2009, pp. 293--299
    8. "The Inverse Limits Approach to Chaos," (with Judy Kennedy and James Yorke),  Journal of Mathematical Economics, Volume 44, Issues 5-6, pp. 423--444, April 2008.
    9. "Chaos and Models with Backward Dynamics," (with Judy Kennedy), Journal of Economic Dynamics & Control, Vol. 32, pp. 939–955, 2008.
    10. "Inverse Limits and an Implicitly Defined Difference Equation from Economics," (with Judy Kennedy and James Yorke), Topology and Its Applications, Volume 154, Issue 13, 1, pp. 2533-2552, July 2007.
    11. "Sunspots in a Cash-in-Advance Model: a Quantitative Assessment," Journal of Macroeconomics, Volume 29, Issue 1, pp. 123-144, March 2007.
    12.  "Money as Real Options in a Cash-in-Advance Economy ," (with Stacie Beck), Economics Letters, Volume 87, pp. 337-345, 2005.
    13. "Default, Reputation and Balanced-Budget Rules," Review of Economic Dynamics, Volume 7, No. 2, April 2004.
    14. "Balance-Budget Rules: Welfare Loss and Optimal Policies,"  Review of Economic Dynamics, Volume 4, No. 2, April 2001.

    Work in progress ...

    • Measures on Inverse Limit Spaces for the Shift Homeomorphism.
    • Markov switching models.
    • Chaos and backward dynamics.
    • Chaos and multiple equilibria in dynamic general equilibrium models.
    • Expected utility in models with chaos and multiple equilibria.
    • Oil shocks in dynamic general equilibrium models.
    • Inflation volatility.