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

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63 papers · 1 filter

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