Natalia Jurga

activity

20182026

most citedMaximising Bernoulli measures and dimension gaps for countable branched systems

1 citations · 1 across the 6 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.DS2018

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 $T (x) = \frac{1}{x} mod 1$ satisfy a `dimension gap' meaning that for some $c > 0$ , $\sup_{\mathbf{p}} \di…

math.DS2018★ 1 cited

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.…