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Embedding the symbolic dynamics of Lorenz maps
Tony Samuel, Nina Snigireva, Andrew Vince
Necessary and sufficient conditions for the symbolic dynamics of a Lorenz map to be fully embedded in the symbolic dynamics of a piecewise continuous interval map are given. As an…
math.DS2012
A Simple Proof of Vitali's Theorem for Signed Measures
Tony Samuel
There are several theorems named after the Italian mathematician Vitali. In this note we provide a simple proof of an extension of Vitali's Theorem on the existence of non-measurab…