Abstract
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.
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