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math.DS2007
On the injectivity of the X-ray transform for Anosov thermostats
Dan Jane, Gabriel P. Paternain
We consider Anosov thermostats on a closed surface and the X-ray transform on functions which are up to degree two in the velocities. We show that the subspace where the X-ray tran…
math.DS2006
An example of how the Ricci Flow can increase topological entropy
Dan Jane
We give a surface for which the Ricci Flow applied to the metric will increase the topological entropy of the geodesic flow. Specifically, we first adapt the Melnikov method to app…