Internet publication
A new approach to SLE phase transition
- Abstract:
- 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 Bessel SDE with d=1−4/κ. This not only gives a new perspective, but also allows to describe the formation of the SLE `bubbles' for κ>4.
- Publication status:
- Published
- Peer review status:
- Not peer reviewed
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- Files:
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(Preview, Pre-print, pdf, 154.4KB, Terms of use)
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- Publisher copy:
- 10.48550/arXiv.2001.10987
- Publication website:
- https://arxiv.org/abs/2001.10987
Authors
- Publication date:
- 2020-01-29
- DOI:
- Language:
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English
- Pubs id:
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1083939
- Local pid:
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pubs:1083939
- Deposit date:
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2023-01-13
Terms of use
- Copyright holder:
- Beliaev et al.
- Copyright date:
- 2020
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