Abstract
This lecture was to be a description of the work of Mendès France and of various of his collaborators on how one may felicitously and instructively attach thermodynamic quantities to plane curves. However, our interest in that project cooled somewhat as we became interested in questions arising from the preparation of the pictures that were to illustrate the ideas to be presented. As a result we give only a summary introduction to the work on thermodynamics and divert our efforts to a description and reformulation of the work of Berry and Goldberg [1] on renormalisation of certain curves containing fantastic curls and twists.
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