Kyle Ambrose

collaborators

2 papers

math.PR2026

Thick points of log-correlated Gaussian fields do not depend on the mollifier

Kyle Ambrose

The log-correlated Gaussian field (LGF) on $R^{d}$ ( $d \geq 2$ ) is a centered Gaussian random tempered distribution, defined modulo additive constants, whose covariance kern…

math.GR2026

Spectral properties of the Schreier graphs of the basilica group

Kyle Ambrose, Noah Dunham, Michael Morris +2

We study the spectral properties of Laplacians on the Schreier graphs $Γ_{n}$ of the basilica group, the iterated monodromy group of the polynomial $z^{2} - 1$ , which is an important e…