Jason Miller

collaborators

4 papers

math.PR2025

Existence and uniqueness of the conformally covariant geodesic metric on simple conformal loop ensemble carpets

Jason Miller, Yi Tian

We prove that for each $κ \in (8/3, 4)$ there exists a geodesic metric on the carpet of a CLE $_{κ}$ which is canonical in the sense that it is characterized by a certain list of axiom…

math.PR2025

Existence and uniqueness of the conformally covariant geodesic metric on non-simple conformal loop ensemble gaskets

Jason Miller, Yizheng Yuan

We construct the canonical geodesic metric on the gasket of conformal loop ensembles (CLE $_{κ}$ ) in the regime $κ \in (4, 8)$ where the loops intersect themselves, each other, and the…

math.PR2025

Tightness of approximations to metrics on non-simple conformal loop ensemble gaskets

Valeria Ambrosio, Jason Miller, Yizheng Yuan

We study a class of approximation schemes aimed at constructing conformally covariant metrics defined in the gasket of a conformal loop ensemble (CLE $_{κ}$ ) for $κ \in (4, 8)$ . This is…

math.PR2025

Multiple SLE $_{κ}$ from CLE $_{κ}$ for $κ \in (4, 8)$

Valeria Ambrosio, Jason Miller, Yizheng Yuan

We define multichordal CLE $_{κ}$ for $κ \in (4, 8)$ as the conditional law of the remainder of a partially explored CLE $_{κ}$ . The strands of a multichordal CLE $_{κ}$ have a random link pa…

Existence and uniqueness of the conformally covariant geodesic metric on simple conformal loop ensemble carpets

Existence and uniqueness of the conformally covariant geodesic metric on non-simple conformal loop ensemble gaskets

Tightness of approximations to metrics on non-simple conformal loop ensemble gaskets

Multiple SLEκ​ from CLEκ​ for κ∈(4,8)

Multiple SLE $_{κ}$ from CLE $_{κ}$ for $κ \in (4, 8)$