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math.GT2023
The infinitesimal earthquake theorem for vector fields on the circle
Farid Diaf
We prove that any continuous vector field on a circle is the extension in a suitable sense, of a unique infinitesimal earthquake of the hyperbolic plane. Furthermore, we obtain oth…
math.GT2023
The Anti-de Sitter proof of Thurston's earthquake theorem
Farid Diaf, Andrea Seppi
Thurston's earthquake theorem asserts that every orientation-preserving homeomorphism of the circle admits an extension to the hyperbolic plane which is a (left or right) earthquak…