Infinitesimal bending and twisting in one-dimensional dynamics
Infinitesimal bending and twisting in one-dimensional dynamics
An infinitesimal theory for bending and earthquaking in one-dimensional dynamics is developed. It is shown that any tangent vector to Teichmüller space is the initial data for a bending and for an earthquaking ordinary differential equation. The discussion involves an analysis of infinitesimal bendings and earthquakes, the Hilbert transform, natural …