The exact negative-curvature area exponent conjecture

Let χν\chi^-_\nu be the exponent governing the large-area tail of the negative-curvature JT area distribution. Exact negative-curvature exponent conjecture.

χν=11ν.\chi^-_\nu=\frac{1}{1-\nu}.

This agrees with the semiclassical asymptotic relation stated in the paper and with the expected limiting behavior, but remains conjectural.

Sources & referencesView supporting material

Primary source

Frank Ferrari, “Random Disks of Constant Curvature: the Lattice Story”, arXiv:2406.06875 (2024).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.