Computability of Markov Partitions (24rit027)


(The City College of New York)


Christian Wolf (CUNY Graduate Center)


The Banff International Research Station will host the "Computability of Markov Partitions" workshop in Banff from September 8 - 15, 2024.

In this project, we study the computability of Markov partitions for smooth dynamical systems. Markov partitions, whose existence has been established for many classes of hyperbolic systems, allow for the reduction of dynamical properties of smooth systems to the corresponding properties of the associated symbolic systems. This allows for the application of known computability results from symbolic systems to deduce computability properties for smooth systems.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), and Alberta's Advanced Education and Technology.