Chris Bose

Chris Bose
Position
Professor
Mathematics and Statistics
Credentials

PhD U Toronto

Contact
Office: DTB A517

I work in an area of mathematical research known as Ergodic Theory, a subfield of a broad, modern research area, Dynamical Systems. Dynamical systems provides many theoretical tools that are foundational for other areas of Science and Engineering, including Ordinary Differential Equations (in Biology, Medicine, Chemistry, Astronomy and Electrical Engineering), Partial Differential Equations (in all the above areas, plus Mathematical Physics and Earth Sciences), Symbolic Dynamics and Coding Theory (with deep connections to Computer Science) and so-on.

Ergodic theory is distinguished within dynamical systems theory by its focus on invariant measures -- these describe the stable statistical properties of the dynamical orbits and the asymptotic or long-range behaviour of the system. For example, an invariant measure can be used to answer the question: `What fraction of time, in the long run, does a particular orbit in the system spend in a given region of the state space?' Ergodic theory is now a mature and vibrant research area.

Interests

  • Nonsingular transformations and absolutely continuous invariant measures
  • Open dynamical systems
  • Intermittent Dynamical Systems
  • Non-autonomous systems and random maps

Selected Publications