Keller G (1999)
Publication Type: Journal article, Original article
Publication year: 1999
Publisher: World Scientific Publishing
Book Volume: 9
Pages Range: 1777-1784
Journal Issue: 9
DOI: 10.1142/S0218127499001267
In this paper we give a computable criterion for a piecewise-expanding interval map T to be mixing, which at the same time not only establishes explicit bounds on the spectral gap of the associated Perron-Frobenius operator acting on the space of functions of bounded variation, but also establishes strict contraction rates for this operator. Of course such a result cannot be completely general, but our procedure covers a number of examples with inf|T′| > 2 and the bounds derived for them compare favorably with other estimates found in the literature.
APA:
Keller, G. (1999). Interval maps with strictly contracting Perron-Frobenius operators. International Journal of Bifurcation and Chaos, 9(9), 1777-1784. https://doi.org/10.1142/S0218127499001267
MLA:
Keller, Gerhard. "Interval maps with strictly contracting Perron-Frobenius operators." International Journal of Bifurcation and Chaos 9.9 (1999): 1777-1784.
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