Ran Xie — Neckpinchhttps://neckpinch.com/authors/ran-xie/New arXiv papers by Ran Xie, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT Self-similar curve shortening flow in hyperbolic 2-spacehttps://neckpinch.com/papers/2101.07469/arxiv:2101.07469Tue, 19 Jan 2021 00:00:00 GMTEric Woolgar, Ran Xie — We find and classify self-similar solutions of the curve shortening flow in standard hyperbolic 2-space. Together with earlier work of Halldórsson on curve shortening flow in the plane and Santos dos Reis and Tenenblat in the 2-sphere, this completes the classification of self-similar curve shortening flows in the constant curvature model spaces in 2-dimensions.Curve shortening