Work

Sharp comparison between the perimeter and its fractional analogue in two dimensions

Year: 2026

Type: preprint

Abstract: We show that the fractional perimeter of any order $0

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.14513

Authors: Frank, Rupert L., Ivanisvili, Paata

Institutions: Ludwig-Maximilians-Universität München, University of California, Irvine, Munich Center for Quantum Science and Technology

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Deutsche Forschungsgemeinschaft

Awards: G1768993395, G1889978188, G5141357660, G6671297155, TRR 352: Mathematik der VielteilchenQuantensysteme und ihrer kollektiven Phänomene, CAREER: Discrete Structures and Orthogonal Systems, EXC 2111: Munich Center for Quantum Science and Technology (MCQST)

OpenAlex ID: W7213363933

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