2 citations · 2 across the 2 of their papers we have counts for
8 papers
The exact value of Hausdorff dimension of escaping sets of class B meromorphic functions
Volker Mayer, Mariusz Urbański
We consider the subclass of class consisting of meromorphic functions for which infinity is not an asymptotic value and whose all…
Long hitting times for expanding systems
Łukasz Pawelec, Mariusz Urbański
We prove a new result in the area of hitting time statistics. Currently, there is a lot of papers showing that the first entry times into cylinders or balls are often faster than t…
Quantization dimension for infinite conformal iterated function systems
Jason Atnip, Mrinal Kanti Roychowdhury, Mariusz Urbański
The quantization dimension function for an -conformal measure generated by an infinite conformal iterated function system satisfying the strong open set condition and by a…
On the dimension spectrum of infinite subsystems of continued fractions
Vasileios Chousionis, Dmitriy Leykekhman, Mariusz Urbański
In this paper we study the dimension spectrum of continued fractions with coefficients restricted to infinite subsets of natural numbers. We prove that if is any arithmetic pro…
Random non-hyperbolic exponential maps
Mariusz Urbański, Anna Zdunik
We consider random iteration of exponential entire functions, i.e. of the form , . Assuming that $…
The dimension spectrum of graph directed Markov systems
Vasileios Chousionis, Dmitriy Leykekhman, Mariusz Urbański
In this paper we study the dimension spectrum of general conformal graph directed Markov systems modeled by countable state symbolic subshifts of finite type. We perform a comprehe…