2 citations · 6 across the 12 of their papers we have counts for
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Smooth mixing transformations with loosely Bernoulli cartesian product
Frank Trujillo
A zero-entropy system is said to be loosely Bernoulli if it can be induced from an irrational rotation of the circle. We provide a criterion for zero-entropy systems to be loosely…
Quasi-analytic properties of the KAM curve
Frank Trujillo
Classical KAM theory guarantees the existence of a positive measure set of invariant tori for sufficiently smooth non-degenerate near-integrable systems. When seen as a function of…
Lyapunov instability in KAM stable Hamiltonians with two degrees of freedom
Frank Trujillo
For a fixed frequency vector obeying we show the existence of Gevrey-smooth Hamiltonians, arbitrarily close to a…
On the Hausdorff dimension of invariant measures for multicritical circle maps
Frank Trujillo
We give explicit bounds for the Hausdorff dimension of the unique invariant measure of multicritical circle maps without periodic points. These bounds depend only on the arit…