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\input zb-ioport
\iteman{io-port 01257085}
\itemau{Grabner, Peter J.; Tichy, Robert F.; Winkler, Reinhard}
\itemti{On the stability of the quotients of successive terms of linear recurring sequences.}
\itemso{van der Poorten, Alf J. (ed.) et al., Proceedings of the international conference on number theoretic and algebraic methods in computer science, NTAMCS '93, Moscow, Russia, June/July 1993. Singapore: World Scientific. 185-192 (1995).}
\itemab
Continuing earlier investigations [e.g. {\it M. Goldstern}, {\it R. F. Tichy} and {\it G. Turnwald}, Monatsh. Math. 107, 35-55 (1989; Zbl 0692.10040); and {\it R. F. Tichy}, J. Math. Anal. Appl. 181, 546-561 (1994; Zbl 0811.11054)] and using also results of {\it R. J. Kooman} [Convergence properties of recurrence sequences, Thesis, Univ. Leiden (1989; Zbl 0665.39003)], the authors show that under weak conditions the fractional parts of the quotients of successive terms of slightly perturbated linear recurrences have a Lipschitz continuous asymptotic distribution which is explicitly given.
\itemrv{H.Rindler (Wien)}
\itemcc{}
\itemut{stability; fractional parts; quotients of successive terms; slightly perturbated linear recurrences; Lipschitz continuous asymptotic distribution}
\itemli{}
\end