26 citations · 174 across the 31 of their papers we have counts for
36 papers · 1 filter
Path-dependent shrinking targets in generic affine iterated function systems
Henna Koivusalo, Lingmin Liao, Ian Morris +1
We calculate the Hausdorff dimension of shrinking target sets of symbolic balls in generic affine iterated function systems with matrix norms bounded by . Relative to ea…
Spectrum of weighted Birkhoff average
Balázs Bárány, Michał Rams, Ruxi Shi
Let be a decreasing nonsummable sequence of positive reals. In this paper, we investigate the weighted Birkhoff average …
Dimension Theory of some non-Markovian repellers Part II: Dynamically defined function graphs
Balázs Bárány, Michał Rams, Károly Simon
This is the second part in a series of two papers. Here, we give an overview on the dimension theory of some dynamically defined function graphs, like Takagi and Weierstrass functi…
Dimension Theory of some non-Markovian repellers Part I: A gentle introduction
Balázs Bárány, Michał Rams, Károly Simon
Michael Barnsley introduced a family of fractals sets which are repellers of piecewise affine systems. The study of these fractals was motivated by certain problems that arose in f…
The structure of the space of ergodic measures of transitive partially hyperbolic sets
Lorenzo J. Díaz, Katrin Gelfert, Tiane Marcarini +1
We provide examples of transitive partially hyperbolic dynamics (specific but paradigmatic examples of homoclinic classes) which blend different types of hyperbolicity in the one-d…
Birkhoff and Lyapunov spectra on planar self-affine sets
Balázs Bárány, Thomas Jordan, Antti Käenmäki +1
Working on strongly irreducible planar self-affine sets satisfying the strong open set condition, we calculate the Birkhoff spectrum of continuous potentials and the Lyapunov spect…