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math.DS2021
Typical absolute continuity for classes of dynamically defined measures
Balázs Bárány, Károly Simon, Boris Solomyak +1
We consider one-parameter families of smooth uniformly contractive iterated function systems on the real line. Given a family of parameter dependent measures …
math.DS2021
Dimension estimates for iterated function systems and repellers. Part II
De-Jun Feng, Károly Simon
This is the second part of our study of the dimension theory of iterated function systems (IFSs) and repellers on . In the first part we proved that the upper box…
math.DS2021
Piecewise linear iterated function systems on the line of overlapping construction
R. D. Prokaj, K. Simon
In this paper we consider Iterated Function Systems (IFS) on the real line consisting of continuous piecewise linear functions. We assume some bounds on the contraction ratios of t…