Abstract
Let n be a positive integer and ∥ · ∥ any norm in R 2 . Denote by B the unit ball of ∥ · ∥ and P B , n the class of convex lattice polygons with n vertices and least ∥ · ∥ -perimeter. We prove that after suitable normalization, all members of P B , n tend to a fixed convex body, as n → ∞ .
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
