SLE reversibility conjecture

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Let H\mathbb H be the upper half-plane and let γ\gamma be a chordal SLEκSLE_\kappa path from the origin to infinity, with fixed κ≤8\kappa\leq 8. SLE reversibility conjecture. The law of the time-reversed and time-changed image −1/γ-1/\gamma is identical to the law of γ\gamma. 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 κ\kappa besides the cases known there.

References

Primary source

Wendelin Werner, “Conformal restriction and related questions”, arXiv:math/0307353 (2003).

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