منابع مشابه
On Invariant Line Arrangements
We classify all arrangements of lines that are invariant under foliations of degree 4 of the real projective plane.
متن کاملOn invariant line
We show that a rational function of degree 2 admits an invariant line eld with respect to some measure , which is an equilibrium state of a HH older continuous potential whose topological pressure is greater than its supremum, only in very special cases when the Julia set is either a geometric circle or an interval or it is totally disconnected and contained in a real-analytic curve. Let f : C ...
متن کاملOn shortest paths in line arrangements
In this paper, we show that the shortest path between two points in a grid-like arrangement of two pencils of lines has a particularly simple structure, as was previously conjectured. This gives a linear-time algorithm for computing shortest paths in such arrangements.
متن کاملA Note on Coloring Line Arrangements
We show that the lines of every arrangement of n lines in the plane can be colored with O( √ n/ log n) colors such that no face of the arrangement is monochromatic. This improves a bound of Bose et al. by a Θ( √ log n) factor. Any further improvement on this bound would also improve the best known lower bound on the following problem of Erdős: estimate the maximum number of points in general po...
متن کاملLine Arrangements in H
If M = H3/G is a hyperbolic manifold and γ ⊂ M is a simple closed geodesic, then γ lifts to a collection of lines in H3 acted upon by G. In this paper we show that such a collection of lines cannot contain a particular type of subset (called a bad triple) unless G has orientation-reversing elements. This fact allows us to extend certain lower bounds on hyperbolic volume to the non-orientable case.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2014
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-014-9570-0