Characterization of the set of "ergodic directions" in the Novikov's problem of quasi-electrons orbits in normal metals
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 P2. These fractals are the complement of infinitely many open sets labeled by integer 2-cycles of T3. Here we present a characterization of the fractal points in terms of the open sets labels.
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