SLE reversibility conjecture
Let be the upper half-plane and let be a chordal path from the origin to infinity, with fixed . SLE reversibility conjecture. The law of the time-reversed and time-changed image is identical to the law of . This asserts that chordal SLE has the same path law when viewed from infinity toward the origin, after inversion and reparametrization. The source states that this remains an open problem for all other values of besides the cases known there.
References
Primary source
Wendelin Werner, “Conformal restriction and related questions”, arXiv:math/0307353 (2003).
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