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A Zeta Function For Flows With Positive Templates, Michael C. Sullivan
A Zeta Function For Flows With Positive Templates, Michael C. Sullivan
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A zeta function for a map f : M → M is a device for counting periodic orbits. For a topological flow however, there is not a clear meaning to the period of a closed orbit. We circumvent this for flows which have positive templates by counting the “twists” in the stable manifolds of the periodic orbits.