https://neckpinch.com/authors/benjamin-richards/New arXiv papers by Benjamin Richards, from Neckpinch Tue, 03 Nov 2026 07:43:57 GMT https://neckpinch.com/papers/2309.00712/arxiv:2309.00712Fri, 01 Sep 2023 00:00:00 GMTTheodora Bourni, Benjamin Richards — We construct a translating solution to anisotropic curve shortening flow and show that for a given anisotropic factor g:S¹→ℝ_+, and a given direction and speed, this translator is unique. We then construct an ancient compact solution to anisotropic curve shortening flow, and show that this solution, along with the appropriate translating solution, are the unique solutions to anisotropic curve shortening flow that lie in a slab of a given width and no smaller.Curve shorteningAncient solutionsSelf-shrinkers & translators