Norms on Earthquake Measures and Zygmund Functions

  title={Norms on Earthquake Measures and Zygmund Functions},
  author={Hu Jun and J. Heinonen},
The infinitesimal earthquake theorem gives a one-to-one correspondence between Thurston bounded earthquake measures and normalized Zygmund bounded functions. In this paper, we provide an intrinsic proof of a theorem given in an earlier paper by the author; that is, we show that the cross-ratio norm of a Zygmund bounded function is equivalent to the Thurston norm of the earthquake measure in the correspondence. 

From This Paper

Figures and tables from this paper.


Publications referenced by this paper.
Showing 1-3 of 3 references

Earthquake curves

F. P. Gardiner, J. Hu, N. Lakic
Contemporary Mathematics, • 2002

Earthquakes in two-dimensional hyperbolic geometry

W. P. Thurston
In Low-dimensional Topology and Kleinian groups, • 1986

Similar Papers

Loading similar papers…