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Experimental Mathematics Volume 15, 2006 - Issue 1
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Original Article

Topology of Plane Sections of Periodic Polyhedra with an Application to the Truncated Octahedron

Roberto De Leo Department of Physics and INFN, University of Cagliari, Cagliari, Italy
Pages 109-124 | Published online: 30 Jan 2011

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  • R. De Leo. "Numerical Analysis of the Novikov Problem of a Normal Metal in a Strong Magnetic Field." SIADS 2:4 (2003), 517–545.
  • R. De Leo. "Characterization of the Set of 'Ergodic Directions' in the Novikov's Problem of Quasielectrons Orbits in Normal Metals." RMS 58 (2004), 1042–1043.
  • R. De Leo. "Topological Effects in the Magnetoresistance of Au and Ag." Physics Letters A 332 (2004), 469–474.
  • R. De Leo. "Proof of Dynnikov's Conjecture on the Location of Stability Zones in the Novikov Problem on Planar Sections of Periodic Surfaces." RMS 60:3 (2005), 566–567.
  • R. De Leo. "First-Principles Generation of Stereographic Maps for High-Field Magnetoresistance in Normal Metals: An Application to Au and Ag." Physica B 362 (2005), 62–75.
  • R. De Leo. "Topology of Plane Sections of Periodic Polyhedra with an Application to the Truncated Octahedron." math.DG/0502219, 2005.
  • R. De Leo. "Appendix to This Paper Containing High-Resolution Images." Available online at http://www.expmath.org/expmath/volumes/15/15.1/deleo/pol-appendix.pdf, 2006. http://www.expmath.org/expmath/volumes/15/15.1/deleo/pol-appendix.pdf
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  • I. V. Dynnikov. "The Geometry of Stability Regions in Novikov's Problem on the Semiclassical Motion of an Electron." RMS 54:1 (1999), 21–60.
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  • R. Wayne. "Infinite Periodic Discrete Minimal Surfaces without Self-Intersections." BJGA 10:2 (2005), 106–128.
  • A. V. Zorich. "A Problem of Novikov on the Semiclassical Motion of Electrons in a Uniform Almost Rational Magnetic Field." Usp. Mat. Nauk (RMS) 39: 5 (1984), 235–236.

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