S. Mellick

collaborators

3 papers

math.GR2023

Gaboriau's criterion and fixed price one for locally compact groups

Sam Mellick

Let $G_{1}$ be a semisimple real Lie group and $G_{2}$ another locally compact second countable unimodular group. We prove that $G_{1} \times G_{2}$ has fixed price one if $G_{1}$ has higher…

math.GT2023

Poisson-Voronoi tessellations and fixed price in higher rank

Mikolaj Fraczyk, Sam Mellick, Amanda Wilkens

Let $G$ be a higher rank semisimple real Lie group or the product of at least two automorphism groups of regular trees. We prove all probability measure preserving actions of latti…

math.GR2021

The Palm groupoid of a point process and factor graphs on amenable and Property (T) groups

Sam Mellick

We define a probability measure preserving and r-discrete groupoid that is associated to every invariant point process on a locally compact and second countable group. This groupoi…