## Mean action of periodic orbits of area-preserving annulus diffeomorphisms

## Branched conformal structures and the Dyson superprocess

In the early 1920s, Loewner introduced a constructive approach to the Riemann mapping theorem that realized a conformal mapping as the solution to a differential equation. Roughly, the “input” to Loewner’s differential equation is a driving measure and the “output” is a family of nested, conformally equivalent domains. This theory was revitalized in the late 1990s by Schramm. The Schramm-Loewner evolution (SLE) is a stochastic family of slit mappings driven by Loewner’s equation when the driving measure is an atom executing Brownian motion.

## The Lucky Logarithmic Derivative

## Kinematics of Circumgalactic Gas

Most of the baryons associated with galaxy halos reside in the

circumgalactic medium. A significant fraction of the mass is at

temperatures well below the halo virial temperature. What holds

the cool CGM up? I will present new measurements of the kinematics

of circumgalactic gas. The data show that much of the low-ionization

CGM rotates in the same direction as the galactic disk, suggesting

substantial centrifugal support. Disturbances from galactic winds