Matt Clay

collaborators

3 papers

math.GT2026

Subgraph Entropy

Tarik Aougab, Matt Clay, Tawfiq Hamed

Given $r \geq 3$ , we prove that there exists $I^» > 0$ depending only on $r$ so that if $G$ is a metric graph of rank $r$ with metric entropy $1$ , then there exists a proper subgraph…

math.MG2025

Pseudo-Isometric Surgery

Matt Clay, Josh Thompson

We introduce a type of surgery on metric spaces. This surgery, in some sense, seeks to replace a subspace $S$ of a metric space $X$ with another metric space $T$ via a function $f…

math.GR2025

Bounded projections to the $Z$ -factor graph

Matt Clay, Caglar Uyanik

Suppose $G$ is a free product $G = A_{1} * A_{2} * \dots * A_{k} * F_{N}$ , where each of the groups $A_{i}$ is torsion-free and $F_{N}$ is a free group of rank $N$ . Let $O$ be the de…

Subgraph Entropy

Pseudo-Isometric Surgery

Bounded projections to the Z-factor graph

Bounded projections to the $Z$ -factor graph