Michał Rams

most citedSubexponentially increasing sums of partial quotients in continued fraction expansions

29 citations · 29 across the 2 of their papers we have counts for

collaborators

2 papers

math.DS2014

On Shrinking Targets for Piecewise Expanding Interval Maps

Tomas Persson, Michał Rams

For a map $T : [0, 1] \to [0, 1]$ with an invariant measure $μ$ , we study, for a $μ$ -typical $x$ , the set of points $y$ such that the inequality $∣ T^{n} x - y ∣ < r_{n}$ is satisfied…

math.DS2014★ 29 cited

Subexponentially increasing sums of partial quotients in continued fraction expansions

Lingmin Liao, Michal Rams

We investigate from a multifractal analysis point of view the increasing rate of the sums of partial quotients $S_n (x) = \sum_j = 1^{n} a_j (x)$ , where $x=[a\_1(x), a\_2(x), \cdots ]…