Tong’s spectrum for Rosen continued fractions

represents an irrational number.. Hence, large partial quotients yield good rational approximations by truncating the continued fraction expansion just before the given

— Bemerkung zur Theorie der Approximation der irrationalen Zahlen durch rationale Zahlen, Tohoku Math.. — Uber die angenaherte Darstellung der irrationalzahlen durch rationale

Later, Hartmanis and Stearns [15] proposed to emphasize the quantitative aspect of this notion, and to take into account the number T (n) of operations needed by a (multitape)

An improvement of a result of Davenport and Roth Throughout the present Section (which can be read independently of the rest of the paper), ξ denotes an arbitrary irrational,

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

Because of the di ff erence from the finite symbolic dynamical systems and of the observed new phenomena, contin- ued fractions attracted much attention.. Besides a detailed

We extend to Lipschitz continuous functionals either of the true paths or of the Euler scheme with decreasing step of a wide class of Brownian ergodic diffusions, the Central

In this article, we approximate the invariant distribution ν of an ergodic Jump Diffusion driven by the sum of a Brownian motion and a Compound Poisson process with sub-Gaussian