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College of Arts and Sciences

Dynamical Systems

Contact Information

Romeo Thomas

Professor

Mathematics

Work: 928-777-6965

E-mail:

Romeo Thomas (Warwick):
Dynamical Systems
Specific interests include topological entropy and shadowing properties.

My field of interest is “Smooth Dynamical Systems” (Phenomenon that changes with time).

In order to study the “Dynamical Systems” we need to study the "Topological Entropy" and "Shadowing Properties". This field of study attempts to survey the results about “Axiom A diffeomorphisms” obtained since Smale's well-known paper of 1967. In that paper Smale defined these diffeomorphisms and set up a program for dynamical systems centered around them. These examples are charming in that they display complicated behavior but are still intelligible. This means that there are many theorems and yet many beautiful open problems.

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