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Orbits for products of maps

Pakapongpun, Apisit; Ward, Thomas

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Authors

Apisit Pakapongpun

Thomas Ward



Abstract

We study the behaviour of the dynamical zeta function and the orbit Dirichlet series for products of maps. The behaviour under products of the radius of convergence for the zeta function, and the abscissa of convergence for the orbit Dirichlet series, are discussed. The orbit Dirichlet series of the cartesian cube of a map with one orbit of each length is shown to have a natural boundary.

Citation

Pakapongpun, A., & Ward, T. (2014). Orbits for products of maps. Thai Journal of Mathematics, 12(1), 33-44

Journal Article Type Article
Publication Date 2014-04
Deposit Date Feb 28, 2013
Publicly Available Date Apr 11, 2013
Journal Thai journal of mathematics
Print ISSN 1686-0209
Publisher Mathematical Association of Thailand
Peer Reviewed Peer Reviewed
Volume 12
Issue 1
Pages 33-44
Keywords Periodic orbits, Natural boundary, Orbit Dirichlet series, Linear recurrence sequence.
Publisher URL http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/view/565

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Copyright Statement
Copyright 2003 by the Mathematical Association of Thailand.
All rights reserve. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission of the Mathematical Association of Thailand.





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