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math.DS2015★ 3 cited
Random affine code tree fractals: Hausdorff and affinity dimensions and pressure
Esa Järvenpää, Maarit Järvenpää, Meng Wu +1
We prove that for random affine code tree fractals the affinity dimension is almost surely equal to the unique zero of the pressure function. As a consequence, we show that the Hau…
math.DS2014
Random affine code tree fractals and Falconer-Sloan condition
Esa Järvenpää, Maarit Järvenpää, Bing Li +1
We calculate the almost sure dimension for a general class of random affine code tree fractals in . The result is based on a probabilistic version of the Falconer-Sloa…
math.DS2011★ 6 cited
Singularity of projections of 2-dimensional measures invariant under the geodesic flow
Risto Hovila, Esa Järvenpää, Maarit Järvenpää +1
We show that on any compact Riemann surface with variable negative curvature there exists a measure which is invariant and ergodic under the geodesic flow and whose projection to t…