Reversibility of Some Chordal SLE(κ; ρ) Traces
نویسنده
چکیده
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.
منابع مشابه
Duality 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 کامل2 3 M ay 2 00 5 SLE coordinate changes
The purpose of this note is to describe a framework which unifies radial, chordal and dipolar SLE. When the definition of SLE(κ; ρ) is extended to the setting where the force points can be in the interior of the domain, radial SLE(κ) becomes chordal SLE(κ; ρ), with ρ = κ − 6, and vice versa. We also write down the martingales describing the Radon-Nykodim derivative of SLE(κ; ρ1, . . . , ρn) wit...
متن کاملar X iv : m at h / 05 05 36 8 v 1 [ m at h . PR ] 1 7 M ay 2 00 5 SLE coordinate changes
The purpose of this note is to describe a framework which unifies radial, chordal and dipolar SLE. When the definition of SLE(κ; ρ) is extended to the setting where the force points can be in the interior of the domain, radial SLE(κ) becomes chordal SLE(κ; ρ), with ρ = κ − 6, and vice versa. We also write down the martingales describing the Radon-Nykodim derivative of SLE(κ; ρ1, . . . , ρn) wit...
متن کاملar X iv : m at h / 05 05 36 8 v 3 [ m at h . PR ] 6 A pr 2 00 6 SLE Coordinate Changes
The purpose of this note is to describe a framework which unifies radial, chordal and dipolar SLE. When the definition of SLE(κ; ρ) is extended to the setting where the force points can be in the interior of the domain, radial SLE(κ) becomes chordal SLE(κ; ρ), with ρ = κ− 6, and vice versa. We also write down the martingales describing the Radon–Nykodim derivative of SLE(κ; ρ1, . . . , ρn) with...
متن کامل