26 citations · 174 across the 31 of their papers we have counts for
Showing 2017 · math.DSShow all
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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
Dimension of generic self-affine sets with holes
Henna Koivusalo, Michał Rams
Let be a dynamical system, and let . Consider the survivor set \[ Σ_U=\{x\in Σ\mid σ^n(x)\notin U\textrm{for all}n\} \] of points that never enter the subset $…
math.DS2017★ 15 cited
Shrinking targets on Bedford-McMullen carpets
Balázs Bárány, Michał Rams
We describe the shrinking target set for the Bedford-McMullen carpets, with targets being either cylinders or geometric balls.