44 citations · 81 across the 8 of their papers we have counts for
9 papers
Packing dimension and Ahlfors regularity of porous sets in metric spaces
Esa Järvenpää, Maarit Järvenpää, Antti Käenmäki +3
Let be a metric measure space with an -regular measure . We prove that if is -porous, then where $\dim_{\math…
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…
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…
Hausdorff dimension and non-degenerate families of projections
Esa Järvenpää, Maarit Järvenpää, Tamás Keleti
We study parametrized families of orthogonal projections for which the dimension of the parameter space is strictly less than that of the Grassmann manifold. We answer the natural…
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…
Besicovitch-Federer projection theorem and geodesic flows on Riemann surfaces
Risto Hovila, Esa Järvenpää, Maarit Järvenpää +1
We extend the Besicovitch-Federer projection theorem to transversal families of mappings. As an application we show that on a certain class of Riemann surfaces with constant negati…
Visible parts of fractal percolation
I. Arhosalo, E. Järvenpää, M. Järvenpää +2
We study dimensional properties of visible parts of fractal percolation in the plane. Provided that the dimension of the fractal percolation is at least 1, we show that, conditione…
Porosities and dimensions of measures satisfying the doubling condition
Jean-Pierre Eckmann, Esa Jarvenpaa, Maarit Jarvenpaa
Summary of a talk at the conference The Chaotic Universe in Rome, Feb, 1999
Porosities and dimensions of measures
Jean-Pierre Eckmann, Esa Jarvenpaa, Maarit Jarvenpaa
We introduce a concept of porosity for measures and study relations between dimensions and porosities for two classes of measures: measures on which satisfy the doubling cond…