Modular Dynamical System and Modular Flow
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IISER-M
Abstract
A surprising relation has been found by numerous authors between the
modular flow and the Lorenzian dynamical system. These two systems are
topologically isomorphic. This allows us to use modular knots to study
closed orbits of the Lorenzian system. Following an exposition of these
topics by Etienne Ghys some computer generated knots are exhibited.