منابع مشابه
Reversibility of Chordal SLE
We prove that the chordal SLEκ trace is reversible for κ ∈ (0, 4].
متن کاملReversibility of Some Chordal SLE(κ; ρ) Traces
We prove that, for κ ∈ (0, 4) and ρ ≥ (κ − 4)/2, the chordal SLE(κ; ρ) trace started from (0; 0) or (0; 0−) satisfies the reversibility property. And we obtain the equation for the reversal of the chordal SLE(κ; ρ) trace started from (0; b0), where b0 > 0.
متن کاملDuality of Chordal SLE
We prove that the outer boundary of the final hull of some chordal SLE(κ; ~ ρ) process has the same distribution as the image of some chordal SLE(κ; ~ ρ′) trace, where κ > 4 and κ = 16/κ; and the reversal of some SLE(4; ~ ρ) trace has the same distribution as the time-change of some SLE(4; ~ ρ′) trace. And we also study some geometric properties of some chordal SLE(κ; ~ ρ) traces.
متن کاملDuality of Chordal SLE, II
We improve the geometric properties of SLE(κ; ~ ρ) processes derived in an earlier paper, which are then used to obtain more results about the duality of SLE. We find that for κ ∈ (4, 8), the boundary of a standard chordal SLE(κ) hull stopped on swallowing a fixed x ∈ R \ {0} is the image of some SLE(16/κ; ~ ρ) trace started from a random point. Using this fact together with a similar propositi...
متن کاملOn Chordal and Bilateral Sle in Multiply Connected Domains
We discuss the possible candidates for conformally invariant random non-self-crossing curves which begin and end on the boundary of a multiply connected planar domain, and which satisfy a Markovian-type property. We consider both, the case when the curve connects a boundary component to itself (chordal), and the case when the curve connects two different boundary components (bilateral). We esta...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2008
ISSN: 0091-1798
DOI: 10.1214/07-aop366