A new approach to SLE phase transition
It is well know that SLEκ curves exhibit a phase transition at κ=4. For κ≤4 they are simple curves with probability one, for κ>4 they are not. The standard proof is based on the analysis of the Bessel SDE of dimension d=1+4/κ. We propose a different approach which is based on the analysis of the...
Những tác giả chính: | Beliaev, D, Lyons, TJ, Margarint, V |
---|---|
Định dạng: | Internet publication |
Ngôn ngữ: | English |
Được phát hành: |
2020
|
Những quyển sách tương tự
-
Continuity in κ in SLEκ theory using a constructive method and rough path theory
Bằng: Beliaev, D, et al.
Được phát hành: (2021) -
Continuity of zero-hitting times of Bessel processes and welding homeomorphisms of SLE$_κ$
Bằng: Beliaev, D, et al.
Được phát hành: (2021) -
Convergence to closed-form distribution for the backward S L E κ at some random times and the phase transition at κ = 8
Bằng: Lyons, TJ, et al.
Được phát hành: (2023) -
An asymptotic radius of convergence for the Loewner equation and simulation of SLEκ traces via splitting
Bằng: Foster, J, et al.
Được phát hành: (2022) -
Harmonic measure and SLE
Bằng: Beliaev, D, et al.
Được phát hành: (2008)