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math.DS2021
Alternating -expansions
Karma Dajani, Niels Langeveld
We introduce a family of maps generating continued fractions where the digit in the numerator is replaced cyclically by some given non-negative integers . We…
math.DS2021
Natural extensions and entropy of -continued fraction expansions with odd partial quotients
Yusuf Hartono, Cor Kraaikamp, Niels Langeveld +1
In an article (which we will refer to as [BM]) of Boca and the fourth author of this paper, a new class of continued fraction expansions with odd partial quotients, parameterized b…