3 papers
math.NT2013
Density of orbits of semigroups of endomorphisms acting on the Adeles
Alan Haynes, Sara Munday
We investigate the question of whether or not the orbit of a point in A/Q, under the natural action of a subset S of Q, is dense in A/Q. We prove that if the set S is a multiplicat…
math.DS2012
On the derivative of the α-Farey-Minkowski function
Sara Munday
In this paper we study the family of -Farey-Minkowski functions , for an arbitrary countable partition of the unit interval with atoms which accumulate only at the orig…
math.DS2010
A note on Diophantine-type fractals for α-Lüroth systems
Sara Munday
The Hausdorff dimensions of certain sets of real numbers described in terms of the α-Lüroth expansion are given.