Priv.-Doz. Dr. Norbert Peyerimhoff

List of Preprints and Publications

• The Cheeger constant of simply connected, solvable Lie groups
  to appear in Proc. Amer. Math. Soc., (Postscript-File)
  (joint with Evangelia Samiou)
  
  
• Integrated density of states for random metrics on manifolds
  preprint, (Postscript-File)
  (joint with D. Lenz and I. Veselic)
  
  
• Geodesics in non-positively curved plane tessellations
  preprint, (Postscript-File)
  (joint with Oliver Baues)
  
  
• Groupoids, von Neumann algebras, and the integrated density of states
  preprint, (Postscript-File)
  (joint with D. Lenz and I. Veselic)
  
  
• The dynamics of magnetic flows for energies above Mane's critical value
  to appear in Israel Journal of Mathematics, (Postscript-File)
  (joint with K.F. Siburg)
  
  
• Integrated Density of States for Random Schrödinger Operators on Manifolds
  Geom. Ded. 91 (2002), 117-135
  (joint with I. Veselic)
  
  
• Isoperimetric and ergodic properties of horospheres in symmetric spaces
  Proc. Symp. Pure Math. "Smooth Ergodic Theory and its Applications" 69 (2001), 797-808
  
  
• Curvature and Geometry of Tesselating Plane Graphs
  Discrete and Computational Geometry 25 (2001), 141-159
  (joint with O. Baues)
  
  
• Simplices of Maximal Volume or Minimal Total Edge Length in Hyperbolic Space
  to appear in Journal of the London Mathematical Society, ( Postscript-File)
  
  
• Extremal Properties of the Principal Dirichlet Eigenvalue for Regular Polygons in the Hyperbolic Plane
  Arch. Math. 79 (2002) 223-231
  (joint with L. Karp)
  
  
• On the Distribution of Hypersurfaces Equidistant from Totally Geodesic Submanifolds in Hyperbolic Space
  Analysis 18 (1998), 217-225
  (joint with L. Karp)
  
  
• Horospherical Means and Uniform Distribution of Curves of Constant Geodesic Curvature
  Math. Z. 231 (1999), 655-677
  (joint with L. Karp)
  
  
• Spectral Gaps of Schrödinger Operators on Hyperbolic Space
  Math. Nachr. 217 (2000), 105-124
  (joint with L. Karp)
  
  
• On Index Formulas For Manifolds with Metric Horns
  Comm. in Partial Differential Equations 23 (1998), 649-684
  (joint with M. Lesch)
  
  
• Areas and Intersections in Convex Domains
  Amer. Math. Monthly 104 (1997), 697-704
  
  
• Mathematik in Anwendung mit C++
  Algorithmen aus Analysis und Zahlentheorie
  UTB für Wissenschaft, Uni Taschenbücher 1816 (1994), Quelle & Meyer Verlag Heidelberg, Berlin, ISBN 3-8252-1816-3
  Out of Print, zu reduziertem Preis (12.95 DM) bestellbar bei Humanitas Buchversand GmbH, Wiesbaden
  (zusammen mit M. Hüttenhofer und M. Lesch)
  
  
• The $\bar{\partial}$-Operator on Algebraic Curves
  Commun. Math. Phys. 129 (1990), 525-534
  (joint with J. Brüning and H. Schröder)