The Isoperimetric Problem in Higher Codimension
Frank Morgan, Isabel M. C. Salavessa
TL;DR
This paper explores three extensions of the classical isoperimetric problem to higher codimensions, analyzing equilibrium conditions, stability, and minimality of solutions.
Contribution
It introduces new generalizations of the isoperimetric problem in higher codimension and provides results on equilibrium, stability, and minimization.
Findings
Characterization of equilibrium configurations
Stability criteria for higher codimension solutions
Conditions for minimality in generalized isoperimetric problems
Abstract
We consider three generalizations of the isoperimetric problem to higher codimension and provide results on equilibrium, stability, and minimization.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsStochastic processes and statistical mechanics · Point processes and geometric inequalities · Markov Chains and Monte Carlo Methods