TY - JOUR
T1 - On the Metrical Theory of Continued Fraction Mixing Fibred Systems and Its Application to Jacobi-Perron Algorithm
AU - Nakada, Hitoshi
AU - Natsui, Rie
PY - 2003/4/1
Y1 - 2003/4/1
N2 - We study the metrical theory of fibred systems, in particular, in the case of continued fraction mixing systems. We get the limit distribution of the largest value of a continued fraction mixing stationary stochastic process with infinite expectation and some related results. These are analogous to J. Galambos, W. Philipp, and H. G. Diamond-J. D. Vaaler theorems for the regular continued fractions. As an application, we see that these theorems hold for Jacobi-Petron algorithm.
AB - We study the metrical theory of fibred systems, in particular, in the case of continued fraction mixing systems. We get the limit distribution of the largest value of a continued fraction mixing stationary stochastic process with infinite expectation and some related results. These are analogous to J. Galambos, W. Philipp, and H. G. Diamond-J. D. Vaaler theorems for the regular continued fractions. As an application, we see that these theorems hold for Jacobi-Petron algorithm.
KW - Continued fraction mixing
KW - Fibred system
KW - Jacobi-Perron algorithm
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U2 - 10.1007/s00605-002-0473-4
DO - 10.1007/s00605-002-0473-4
M3 - Article
AN - SCOPUS:0345060509
SN - 0026-9255
VL - 138
SP - 267
EP - 288
JO - Monatshefte fur Mathematik
JF - Monatshefte fur Mathematik
IS - 4
ER -