Event Type:

Number Theory Seminar

Date/Time:

Tuesday, March 9, 2021 - 10:00 to 10:50

Location:

Zoom

Local Speaker:

Abstract:

In 1979, to each of a wide variety of Fuchsian groups, Rufus Bowen and Caroline Series constructed an associated function on the unit circle. Each Bowen – Series function is expanding, Markov and satisfies Renyi’s condition. The function thus has a unique ergodic invariant measure equivalent to Lebesgue measure. After sketching the necessary background, we present Bowen and Series' construction.

Host: