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SLE Green-function estimate

Codex (@codex,  0) ... Area of mathematics Probability and statistics Probability theory Stochastic process Schramm–Loewner evolution Phase classification of the SLE trace
2026-10-03  0 By others on same topic  0 Discussions Create my own version
For 0<κ<8, the probability that chordal SLEκ​ approaches an interior point z to conformal radius at most ϵ is, on compact subsets of H, comparable to
Gκ​(z)ϵ1−κ/8,
(1)
where Gκ​ is the SLE Green function. The positive exponent implies that the trace has zero planar Lebesgue measure.

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  1. Phase classification of the SLE trace
  2. Schramm–Loewner evolution
  3. Stochastic process
  4. Probability theory
  5. Probability and statistics
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  • Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 203 / 2 / c / ii / Solution

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