Numerical ranges, Poncelet curves, invariant measures

DOI10.1016/S0024-3795(01)00233-6zbMath1029.51025MaRDI QIDQ5935580

Boris Mirman, Robert E. Vinograd, Lev Ladyzhensky, Vladimir A. Borovikov

Publication date: 4 February 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Pairs of plane curves with Poncelet's propertyPoncelet's closure condition

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Euclidean analytic geometry (51N20)

Related Items (16)

Numerical range of a normal compression. II ⋮ Poncelet's theorem, Sendov's conjecture, and Blaschke products ⋮ Complex Formulation of Poncelet Property in Numerical Range ⋮ Numerical Range of a Normal Compression ⋮ Poncelet's porism in the finite real plane ⋮ Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators ⋮ Explicit solutions to Poncelet's porism ⋮ Short cycles of Poncelet's conics ⋮ Numerical ranges of \(C_{0}(N)\) contractions ⋮ The Toeplitz-Hausdorff theorem revisited: Relating linear algebra and geometry ⋮ Vladimir A. Borovikov December 25, 1932-July 6, 2008 ⋮ Numerical range circumscribed by two polygons ⋮ A characterization of complex plane Poncelet curves ⋮ Four Theorems with Their Foci on Ellipses ⋮ UB-matrices and conditions for Poncelet polygon to be closed ⋮ Condition for the numerical range to contain an elliptic disc

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Poncelet's closure theorem
• A Poncelet theorem in space
• Poncelet's theorem and dual billiards
• Numerical ranges and Poncelet curves
• The rotation number of some transformation related to billiards in an ellipse
• Numerical range ofs(φ)
• Three Problems in Search of a Measure

This page was built for publication: Numerical ranges, Poncelet curves, invariant measures