On the Novikov problem for dihedral symmetry potentials
Abstract
We consider Novikov's problem of describing level lines of quasiperiodic functions on a plane for two-dimensional potentials of dihedral symmetry. It is shown that quasiperiodic potentials of this type can have open level lines only at a single energy level \, ε = ε0 \, , which brings them close to random potentials on a plane.
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