Entropy maximizing curves

Authors

Ovidiu Calin, Eastern Michigan University

Document Type

Article

Publication Date

2018

Department/School

Mathematics

Publication Title

Revue Roumaine de Mathematiques Pures et Appliquees

Abstract

The paper defines the entropy of an oval curve as a function of its curvature and finds the ovals with maximum entropy. The problem of finding the entropy maximizing curves between two points is treated using the Lagrangian formalism and solved in closed form. The paper studies also the smooth isometric deformations of the type d t φ t (s) - 1/2d 2s φ t (s) = σ(t) φ t (s) and proves that they are both area and entropy increasing, the oval with the maximum entropy being a circle.

Comments

O. Calin is a faculty member in EMU's Department of Mathematics and Statistics.

Recommended Citation

Calin, O. (2018). Entropy maximizing curves. Revue Roumaine de Mathematiques Pures et Appliquees, 63(2), 91–105.