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math.GR2012
Homogeneous number of free generators
Menny Aka, Tsachik Gelander, Gregory A. Soifer
We address two questions of Simon Thomas. First, we show that for any n>2 one can find a four generated free subgroup of SLn(Z) which is profinitely dense. More generally, we show…
math.DS2012
On the evolution of continued fractions in a fixed quadratic field
Menny Aka, Uri Shapira
We prove that the statistics of the period of the continued fraction expansion of certain sequences of quadratic irrationals from a fixed quadratic field approach the `normal' stat…