FROM GREEDY TO LAZY EXPANSIONS AND THEIR DRIVING DYNAMICS

@inproceedings{KRAAIKAMP2002FROMGT,
  title={FROM GREEDY TO LAZY EXPANSIONS AND THEIR DRIVING DYNAMICS},
  author={KARMA DAJANI AND COR KRAAIKAMP},
  year={2002}
}
  • KARMA DAJANI AND COR KRAAIKAMP
  • Published 2002
denoted by x = .a1a2 · · · an · · · . Only rationals which can be written as p/q with gcd(p, q) = 1 and q = p1 1 · · · pm m (where the `i’s are non-negative integers and the pi’s are the prime divisors of r), have two different expansions of the form (1.1), one of them being finite while the other expansion ends in an infinite string of r − 1’s. Dynamically one generates r-ary expansions by iterating the map Tr : [0, 1) → [0, 1) given by Tr(x) = rx (mod 1), and the digits ak = ak(x), k ≥ 1, are… CONTINUE READING
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