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Determinant Identities and the Geometry of Lines and Circles
This article focuses on the nontrivial determinant identities which typically underlie the complex analytic proofs of all the results in the plane geometry of lines and circles.
Date:
October 20, 2015
Creator:
Anghel, Nicolae
System:
The UNT Digital Library
Estimating Hausdorff measure for Denjoy maps
Article describes how the authors plant to deal with orientation preserving homeomorphisms and, more specifically, diffeomorphisms of the unit circle S1. By employing the recurrence method worked out in Pawelec the authors provide effective lower estimates of the proper-dimensional Hausdorff measure of minimal sets of circle homeomorphisms that are not conjugate to any rotation.
Date:
October 20, 2023
Creator:
Pawelec, Łukasz & Urbański, Mariusz
System:
The UNT Digital Library