2 problems
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Carleson's conjecture on the density of elliptic islands in the Standard family
Let denote the Standard Map with coupling constant , and consider the set of parameter values for which has at least one elliptic island. Carleson's c…
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No-elliptic-islands conjecture for the universal area-preserving map
Let be the universal area-preserving map, let be its domain of analytic continuation, and let denote the corresponding invar…