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| Area of Research |
Dynamical Systems, Population Dynamics, Mathematical Ecology,
Infectious Diseases, Statistical Physics, Geometry, Fractals, and Wavelets
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| Degree | Ph.D. 1986, University of Maryland
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Current research interests:
My main research interests revolve around applications of dynamical systems
to population biology/ecology, statistical physics, geometry, and
fractals/wavelets.
- Dynamics and applications of density dependent age structured population
models
- Dynamics and applications of agent based population models
- Global bifurcations
- Thermodynamic formalism, including rigidity properties of free energy
(and other periodic orbit invariants)
- Wavelet regularity via thermodynamic formalism
- Genericity of stochastic behavior
- Unification of the following problems: Can you hear the shape of a
drum?, does the Dedekind zeta function determine the number field?, and
does the free energy determine the potential for a lattice gas?
- Dynamics of geodesic flows on Teichmuller space
- Dynamics of geodesic flows on positively curved manifolds
- Spatial models of infectious diseases
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