4.5 Article

VERTICAL LIMITS OF GRAPH DOMAINS

Journal

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 144, Issue 3, Pages 1223-1234

Publisher

AMER MATHEMATICAL SOC
DOI: 10.1090/proc12780

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Funding

  1. Kansas NSF EPSCoR [NSF68311]
  2. National Science Foundation [DMS 1102440]
  3. Simons Foundation

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We consider the limiting behavior of Teichmuller geodesics in the universal Teichmuller space T(H). Our main result states that the limits of the Teichmuller geodesics in the Thurston's boundary of T(H) may depend on both vertical and horizontal foliation of the corresponding holomorphic quadratic differential.

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