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

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

2002-07-25

arxiv.org/abs/math/0207234v1

Mathematics

Dynamical Systems

Scientific paper

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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