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Norms on Earthquake Measures and Zygmund Functions
Proceedings of the American Mathematical Society
Vol. 133, No. 1 (Jan., 2005), pp. 193-202
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/4097842
Page Count: 10
You can always find the topics here!Topics: Earthquakes, Geodesic lines, Laminates, Tangent vectors, Mathematical functions, Mathematical theorems, Increasing functions, Integers, Vertices
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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.
Proceedings of the American Mathematical Society © 2005 American Mathematical Society