The geometry of stability regions in Novikov's problem on the semiclassical motion of an electron

Contents § 1. Introduction1.1. Statement of results § 2. The algebraic density of closed trajectories and the Euler characteristic2.1. Types of trajectories. Degree of irrationality2.2. Stability of closed trajectories2.3. The algebraic density of closed trajectories2.4. The heights of critical points2.5. The heights of cylinders of closed trajectories2.6. The density of the Euler characteristic2.7. The critical cycle and the mean density of the Euler characteristic § 3. Stability regions3.1. Minimal generic components3.2. The set U(H) is a closed interval3.3. Essential components3.4. k-subordination § 4. Degeneration4.1. The simplest types of degeneration. The boundary of a stability region4.2. The general case4.3. The sizes of the stability regions4.4. Rotational symmetry Bibliography