||Artificial Intelligence: computer tools that
autonomously analyze and/or design things.
||Nonlinear Dynamics and Information Theory:
techniques for characterizing and exploiting the unique properties of
nonlinear and chaotic systems.
Artificial intelligence projects:
- MotionMind & Chaographer: using
machine learning and the dynamics of chaos to generate human motion
- CScience: an integrated software
system that helps geoscientists construct age models (which
relate depth to calendar age) for an ice or ocean-sediment core.
Nonlinear dynamics and information-theory projects:
I also get involved in fun stuff that my students are interested in,
- Information-theoretic analysis of
ice-core data: the Shannon entropy rate of time-series data from
ice cores reveals some pretty cool stuff about the paleoclimate.
- The nonlinear dynamics of
computer performance: frameworks for modeling computers as
deterministic nonlinear dynamical systems, and using those models to
forecast their performance.
- Human movement dynamics: this area has two distinct foci
Students in my group (and in my
class) have used chaos to generate variations on different kinds
of sequences, including dance, rock climbing, and
many other movement genres - as well as music genres ranging from jazz
guitar to tabla.
- Computational topology: techniques
for describing the morphology of an object, using only discrete data
about that object, and applications of those algorithms to data
- Flow control: intentionally inducing,
suppressing, and "guiding" chaotic flows in a fluid using
micromachined flaps in the boundary layer of a jet.
- Control of internet attacks using
nonlinear dynamics, stochastic models, and control theory.
- Recurrence plots: a visualization tool
that brings out correlations in time-series data.
- Phase-locked loop: using chaos to improve
the capture range of a common and useful electronic circuit.
Many of the links on this "ongoing" sections of this page point to
documents that describe current research opportunities. These range
from one-semester undergraduate research projects through M.S. and
Ph.D. theses to postdoctoral appointments. Please shoot me an email
message if you're interested in any of these opportunities. And I'm
happy to work with smart, independent students on projects of their
own choosing, even if I don't know much about the associated area.