Abstract
The central quantity in the theory of transport for Hamiltonian systems, and in particular the area-preserving twist maps, is the action of rotational periodic orbits. Usually this is a complicated discontinuous function of two arguments: some perturbation parameter k and a rational rotation number , denoted by . We applied the idea of modular smoothing to this complicated fractal. Our main result is that all the information contained in the fractal can be retrieved from a set of continuous or smooth functions of one variable.
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