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...

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Bibliographic Details
Main Authors: Beliaev, D, Lyons, TJ, Margarint, V
Format: Internet publication
Language:English
Published: 2020