S. Mellick

most citedOn the Existence of Balancing Allocations and Factor Point Processes

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 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.PR2023★ 1 cited

On the Existence of Balancing Allocations and Factor Point Processes

Ali Khezeli, Samuel Mellick

In this article, we show that every stationary random measure on $R^{d}$ that is essentially free (i.e., has no symmetries a.s.) admits a point process as a factor (i.e., as…

math.GR2021

Point processes, cost, and the growth of rank in locally compact groups

Miklós Abért, Sam Mellick

Let $G$ be a locally compact, second countable, unimodular group that is nondiscrete and noncompact. We explore the theory of invariant point processes on $G$ . We show that every f…

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…