Shrinking targets and recurrent behaviour for forward compositions of
inner functions
Shrinking targets and recurrent behaviour for forward compositions of
inner functions
We prove sharp results about recurrent behaviour of orbits of forward compositions of inner functions, inspired by fundamental results about iterates of inner functions, and give examples to illustrate behaviours that cannot occur in the simpler case of iteration. A result of Fern\'andez, Meli\'an and Pestana gives a precise version …