UBC Ergodic Theory and Dynamical Systems Seminar: Ignacio Rojas
Topic
A non-linear generalization of the Kakutani Equidistribution problem
Hybrid Event:
- In-person: PIMS 4133
- Zoom: https://ubc.zoom.us/j/64444159639?pwd=bw5JHf6TiTm6vkzYFpzmF4L8WP4M1F.1
Meeting ID: 644 4415 9639
Passcode: 189160
Speakers
Details
Abstract: Take the unit interval [0,1] and a number, b, between 0 and 1. At each step, split every interval of maximal length into two pieces in proportion b: (1-b). This recursive scheme is known as the Kakutani splitting procedure and in 1976, Kakutani showed that the sequence of partitions becomes equidistributed. In this talk we will explore a nonlinear generalization of this problem and sketch the proof.
Additional Information
This talk is a part of the UBC Ergodic Theory and Dynamical Systems Seminar series.