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## Research
Algebra / Alg. Geometry |
## Research## Dynamical SystemsDynamical systems at Tufts involves faculty, graduate students and
undergraduate students, and runs a weekly working seminar. The work here
encompasses a variety of research subjects in "pure" and applied
dynamical systems. These include hyperbolic dynamical systems
("maximally chaotic" ones in which any two time-evolutions drift apart
exponentially fast), geometrically motivated dynamical systems (such as
free particle motion in curved spaces in the form of geodesic flows,
periodic orbits studied with methods of braid theory, mapping class
groups, or the trajectories in billiards), ergodic theory (the study of
deterministic dynamical systems with probabilistic methods to capture
the pseudorandom behavior of complex systems), mathematical
neuroscience, and methods of hyperbolic dynamics in computational fluid
dynamics. |
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