Limit values of the recurrence quotient of Sturmian sequences
The recurrence quotient is a real number associated to any symbolic sequence. In the case of Sturmian sequences, Morse and Hedlund proved that the smallest possible value is (5 + root 5)/2. We study here the structure of the set of values taken by the recurrence quotient for a Sturmian sequence. (C) 1999 Elsevier Science B.V. All rights reserved.
recurrence quotient sturmian sequence recurrence function continued fraction singular factor