Boundary Green's functions and Minkowski content measure of multi-force-point SLE_κ(\underlineρ)

2021/06/23 by Dapeng Zhan, Zhan, Dapeng
Mathematics · #60J67 #FOS: Mathematics #Geometry and complex manifolds #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2106.12670

openalex publication_date 2021/06/23 · openalex created_date 2021/07/05 · openalex updated_date 2026/07/28

Abstract

We consider a transient chordal SLE_κ(ρ₁,…,ρ_m) curve η in ℍ from w to ∞ with force points v₁> ⋯ >v_m in (-∞,w^-], which intersects and is not boundary-filling on (-∞,v_m). The main result is that there is an atomless locally finite Borel measure μ_η on η∩ (-∞,v_m] such that for any v

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