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Takagi type functions and dynamical systems: the smoothness of the SBR measure and the existence and smoothness of local time
We investigate the occupation measures and local times of Takagi-type functions with roughness parameter $γ$, which are Hölder continuous with exponent $H=\frac{\logγ}{\log(1/2)}.$ Analytical insight is obtained by embedding these functions into a dynamical system related to the baker transform, who
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