Interval Maps with Strictly Contracting Perron-frobenius Operators Dedicated to the Memory of Wiess Law Szlenk
نویسنده
چکیده
In this note 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 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 jT 0 j > 2 and the bounds derived for them compare favourably with other estimates found in the literature.
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