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RATES OF RECURRENCE FOR Z(Q) AND R(Q) EXTENSIONS OF SUBSHIFTS OF FINITE-TYPE
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UNSPECIFIED (1994) RATES OF RECURRENCE FOR Z(Q) AND R(Q) EXTENSIONS OF SUBSHIFTS OF FINITE-TYPE. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 49 (Part 2). pp. 401-416. ISSN 0024-6107
Full text not available from this repository.Abstract
In this note we give new asymptotic formulae for certain counting functions associated to the periodic behaviour of Z(q) and R(q) extensions of subshifts of finite type. In the case of the Z(q) extensions, these strengthen previous estimates of Marcus and Tuncel [9]. For both types of extension, our results complement the central limit type results of Lalley [6]. Our proof requires the application of ideas from thermodynamic formalism. Whilst developing this approach, in Section 2, we take the opportunity to present a counter-example to a related conjecture of Coelho-Filho [2].
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES |
| Publisher: | LONDON MATH SOC |
| ISSN: | 0024-6107 |
| Date: | April 1994 |
| Volume: | 49 |
| Number: | Part 2 |
| Number of Pages: | 16 |
| Page Range: | pp. 401-416 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/20682 |
Data sourced from Thomson Reuters' Web of Knowledge
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