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math.DS2017
Birkhoff spectrum for piecewise monotone interval maps
Thomas Jordan, Michal Rams
For piecewise monotone interval maps we look at Birkhoff spectra for regular potential functions. This means considering the Hausdorff dimension of the set of points for which the…
math.DS2017
Dimensions of equilibrium measures on a class of planar self-affine sets
Jonathan Fraser, Thomas Jordan, Natalia Jurga
We study equilibrium measures (Käenmäki measures) supported on self-affine sets generated by a finite collection of diagonal and anti-diagonal matrices acting on the plane and sati…