Abstract
Topological invariants of interval maps are preserved by conjugacy. We investigate some features of the conjugacy equations associated to piecewise expanding maps. For special cases, it is possible to construct explicitly a conjugacy function in terms of the a-base expansion of numbers through a solution of the corresponding functional equations.
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Acknowledgements
The first author acknowledges support by Fundação para a Ciência e Tecnologia, grant SFRH/BD/77623/2011. The second author acknowledges partial support by Fundação para a Ciência e Tecnologia, PEst-OE/MAT/UI0209/2013. The authors are also indebted to the anonymous referees for their sharp suggestions.
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Serpa, C., Buescu, J. (2015). Piecewise Expanding Maps and Conjugacy Equations. In: López-Ruiz, R., Fournier-Prunaret, D., Nishio, Y., Grácio, C. (eds) Nonlinear Maps and their Applications. Springer Proceedings in Mathematics & Statistics, vol 112. Springer, Cham. https://doi.org/10.1007/978-3-319-12328-8_11
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DOI: https://doi.org/10.1007/978-3-319-12328-8_11
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