Jason Miller

activity

20082026

most citedLiouville quantum gravity and the Brownian map I: The QLE(8/3,0) metric

107 citations · 484 across the 43 of their papers we have counts for

collaborators

66 papers

math.PR2026

The conformal dimension of the Brownian sphere is two

Jason Miller, Yi Tian

The conformal dimension of a metric space $(X, d)$ is equal to the infimum of the Hausdorff dimensions among all metric spaces quasisymmetric to $(X, d)$ . It is an important quasis…

math.PR2023

Conformal removability of non-simple Schramm-Loewner evolutions

Konstantinos Kavvadias, Jason Miller, Lukas Schoug

We consider the Schramm-Loewner evolution (SLE $_{κ}$ ) for $κ \in (4, 8)$ , which is the regime that the curve is self-intersecting but not space-filling. We let $K$ be the se…

math.PR2022

Equivalence of metric gluing and conformal welding in $γ$ -Liouville quantum gravity for $γ \in (0, 2)$

Liam Hughes, Jason Miller

We consider the $γ$ -Liouville quantum gravity (LQG) model for $γ \in (0, 2)$ , formally described by $e^{γ h}$ where $h$ is a Gaussian free field on a planar domain $D$ . Sheffield show…

math.PR2022

Conformal removability of SLE $_{4}$

Konstantinos Kavvadias, Jason Miller, Lukas Schoug

We consider the Schramm-Loewner evolution (SLE $_{κ}$ ) with $κ = 4$ , the critical value of $κ > 0$ at or below which SLE $_{κ}$ is a simple curve and above which it is self-intersecting. We…

math.PR2022

A continuous proof of the existence of the SLE $_{8}$ curve

Valeria Ambrosio, Jason Miller

Suppose that $η$ is a whole-plane space-filling SLE $_{κ}$ for $κ \in (4, 8)$ from $\infty$ to $\infty$ parameterized by Lebesgue measure and normalized so that $η (0) = 0$ . For each $T…

math.PR2022

Bipolar oriented random planar maps with large faces and exotic SLE $_{κ} (ρ)$ processes

Konstantinos Kavvadias, Jason Miller

We consider bipolar oriented random planar maps with heavy-tailed face degrees. We show for each $α \in (1, 2)$ that if the face degree is in the domain of attraction of an $α$ -stabl…

The conformal dimension of the Brownian sphere is two

Conformal removability of non-simple Schramm-Loewner evolutions

Equivalence of metric gluing and conformal welding in γ-Liouville quantum gravity for γ∈(0,2)

Conformal removability of SLE4​

A continuous proof of the existence of the SLE8​ curve

Bipolar oriented random planar maps with large faces and exotic SLEκ​(ρ) processes

Equivalence of metric gluing and conformal welding in $γ$ -Liouville quantum gravity for $γ \in (0, 2)$

Conformal removability of SLE $_{4}$

A continuous proof of the existence of the SLE $_{8}$ curve

Bipolar oriented random planar maps with large faces and exotic SLE $_{κ} (ρ)$ processes