- Series
- CDSNS Colloquium
- Time
- Friday, October 24, 2025 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 311
- Speaker
- Fan Yang – Wake Forest University – yangf@wfu.edu – https://sites.google.com/view/fan-yang-dynamical-systems
- Organizer
- Asaf Katz
In a recent joint work with J. Buzzi, Y. Shi, and J. Yang, given a diffeomorphism preserving a one-dimensional expanding foliation $\mathcal F$ with homogeneous exponential growth, we construct a family of reference measures on each leaf of the foliation with controlled Jacobian and a Gibbs property.
We then prove that for any measure of maximal $\mathcal F$-entropy, its conditional measures on each leaf must be equivalent to the reference measures.
When the reference measures are equivalent to the leafwise Lebesgue measure, we prove that the log-determinant of $f$ must be cohomologous to a constant.
We will consider several applications, including the strong and center foliations of Anosov diffeomorphisms, factor over Anosov diffeomorphisms, and perturbations of the time-one map of geodesic flows on surfaces with negative curvature. We will also discuss several conjectures on the unique ergodicity and (exponential) equidistribution for the strong unstable foliations of Anosov systems.
Zoom link: https://gatech.zoom.us/j/92005780980?pwd=ptlx7KdBAbHI3DTvv6V7fjFn27LDaE.1
Meeting ID: 920 0578 0980
Passcode: 604975