Quantitative Stability of the Cheeger Cut
2023-05
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Quantitative Stability of the Cheeger Cut
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2023-05
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We show the existence and regularity of the Cheeger cut on a closed Riemannian manifold. We show quantitative stability of the Cheeger cut for closed Riemannian manifolds of dimensions 2 ≤ n ≤ 7, and show that the stability estimate achieved is sharp. The main novelty of this work is in showing stability for a non-smooth functional.
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University of Minnesota M.S. thesis. May 2023. Major: Mathematics. Advisor: Max Engelstein. 1 computer file (PDF); ii, 75 pages.
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de Clercq, Adriaan. (2023). Quantitative Stability of the Cheeger Cut. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/256936.
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