NET map slope functions

2018/11/03 by Walter Parry, Parry, Walter
Mathematics · #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1811.01274

Abstract

This paper studies NET map slope functions. It establishes Lipschitz-type conditions for them. It relates Lipschitz-type conditions to the half-space theorem. It gives bounds on the number of slope function fixed points. It provides examples of rational NET maps with many matings.

Related

• Slope filtrations
• Slope inequality for families of curves over surfaces
• Global Lipschitz extension preserving the slope
• Local Lipschitz property of the map which puts in correspondence to N--net its Chebyshev center
• A note about Intrinsically Lipschitz constants