ICTS:31229

Video URL

Isoperimetric inequality for disconnected regions

Isoperimetric inequality for disconnected regions

(2025). Isoperimetric inequality for disconnected regions. SciVideos. https://youtube.com/live/8M4tMDZrxoM

Isoperimetric inequality for disconnected regions. SciVideos, Feb. 26, 2025, https://youtube.com/live/8M4tMDZrxoM 

          @misc{ scivideos_ICTS:31229,
            doi = {},
            url = {https://youtube.com/live/8M4tMDZrxoM},
            author = {},
            keywords = {},
            language = {en},
            title = {Isoperimetric inequality for disconnected regions},
            publisher = {},
            year = {2025},
            month = {feb},
            note = {ICTS:31229 see, \url{https://scivideos.org/index.php/icts-tifr/31229}}
          }
Bidyut Sanki
Talk numberICTS:31229
Source RepositoryICTS-TIFR
Collection

Abstract

The discrete isoperimetric inequality states that the regular $n$-gon has the largest area among all $n$-gons with a fixed perimeter $p$. In this talk, we extend the discrete isoperimetric inequality to disconnected regions in the hyperbolic plane, i.e., we permit the area to be divided between regions. We provide the necessary and sufficient conditions to ensure that the result holds for multiple polygons with areas that add up.
This is a joint work with Arya Vadnere.