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Characterization of the set of "ergodic directions" in the Novikov's problem of quasi-electrons orbits in normal metals

Roberto De Leo
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Abstract

Novikov's problem of semiclassical orbits of quasi-electrons in a normal metal leads to a correspondance between 3-ply periodic functions in R and fractals in R P^2. These fractals are the complement of infinitely many open sets labeled by integer 2-cycles of T^3. Here we present a characterization of the fractal points in terms of the open sets labels.

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Roberto De Leo. 2002-07-25. Characterization of the set of "ergodic directions" in the Novikov's problem of quasi-electrons orbits in normal metals. https://arxiv.org/abs/math/0207234

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