Natalia Jurga

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math.DS2019

Approximating integrals with respect to stationary probability measures of iterated function systems

Italo Cipriano, Natalia Jurga

We study fast approximation of integrals with respect to stationary probability measures associated to iterated functions systems on the unit interval. We provide an algorithm for…

math.DS2018

Maximising Bernoulli measures and dimension gaps for countable branched systems

Simon Baker, Natalia Jurga

Kifer, Peres, and Weiss proved that there exists $c_{0} > 0,$ such that $dim μ \leq 1 - c_{0}$ for any probability measure $μ$ which makes the digits of the continued fraction expansion i.…