Reversibility conjecture for whole-plane SLE
Reversibility conjecture for whole-plane SLE
Let , and let be a whole-plane SLE trace in the Riemann sphere , growing from a point to a point . Reversibility means that, after a time-change, the reversal of has the same distribution as a whole-plane SLE trace from to .
Whole-plane SLE reversibility conjecture. The whole-plane SLE trace satisfies reversibility for .
The conjecture is the whole-plane analogue of chordal SLE reversibility, and is relevant to identifying reversals of radial SLE traces. The supplied text presents it as the goal of the paper and gives no evidence of resolution, so its status is left open here.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Sources & referencesView supporting material
Primary source
Dapeng Zhan, “On the reversal of radial SLE, I: Commutation Relations in Annuli”, arXiv:0904.0808 (2017).
Additional references
2 papers in this index state this conjecture (2006–2009). The statement above is taken from the most recent of them; the others are arXiv:math/0609167.
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