26 citations · 174 across the 31 of their papers we have counts for
45 papers
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 …
Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line
Balázs Bárány, István Kolossváry, Michał Rams +1
This paper considers self-conformal iterated function systems (IFSs) on the real line whose first level cylinders overlap. In the space of self-conformal IFSs, we show that generic…
Big Birkhoff sums in -decaying Gauss like iterated function systems
Michal Rams, Lingmin Liao
The increasing rate of the Birkhoff sums in the infinite iterated function systems with polynomial decay of the derivative (for example the Gauss map) is studied. For different unb…
Normal numbers with given limits of multiple ergodic averages
Lingmin Liao, Michał Rams
We are interested in the set of normal sequences in the space with a given frequency of the pattern in the positions . The topological entropy of s…
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…