1 citations · 1 across the 6 of their papers we have counts for
6 papers
Dynamical blanket times
Natalia Jurga, Mike Todd
We introduce dynamical blanket times, which quantify how quickly the empirical distribution along a typical orbit approximates the invariant measure. These can be viewed as a measu…
Hausdorff dimension of the Rauzy gasket
Natalia Jurga
The Rauzy gasket is the attractor of a parabolic, nonconformal iterated function system on the projective plane which describes an exceptional parameter set in various important to…
Non-existence of the box dimension for dynamically invariant sets
Natalia Jurga
One of the key challenges in the dimension theory of smooth dynamical systems is in establishing whether or not the Hausdorff, lower and upper box dimensions coincide for invariant…
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…
A new proof of the dimension gap for the Gauss map
Natalia Jurga
Kifer, Peres and Weiss showed that the Bernoulli measures for the Gauss map satisfy a `dimension gap' meaning that for some , $\sup_{\mathbf{p}} \di…
Maximising Bernoulli measures and dimension gaps for countable branched systems
Simon Baker, Natalia Jurga
Kifer, Peres, and Weiss proved that there exists such that for any probability measure which makes the digits of the continued fraction expansion i.…