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RINGS ON WATER AND THEIR ENTROPY

Part of: Incompressible inviscid fluids Geometric probability and stochastic geometry

Published online by Cambridge University Press:  14 March 2013

MICHEL MENDÈS FRANCE  and
TADASHI TOKIEDA
MICHEL MENDÈS FRANCE*
Affiliation:
A2X Mathématiques, UMR 5465, Université de Bordeaux 1, 33405 Talence Cedex, France
TADASHI TOKIEDA
Affiliation:
Trinity Hall, Cambridge CB2 1TJ, UK email tokieda@dpmms.cam.ac.uk
*
✉michel.mendes-france@math.u-bordeaux1.fr
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Abstract

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We introduce the entropy of a family of planar curves in terms of the number of intersections of the family with a random line, calculate it for key examples, and discuss the entropy of a pattern of rings produced by an impulse on the surface of still water.

Keywords

entropygeometric probabilitywater wavesoundraindrop

MSC classification

Secondary: 60D05: Geometric probability and stochastic geometry 76B10: Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 93 , Issue 1-2 , October 2012 , pp. 91 - 100
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc.

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