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Abstract
The topological entropy of piecewise affine maps is studied. It is
shown that singularities may contribute to the entropy only if
there is angular expansion and we bound the entropy via the
expansion rates of the map. As a corollary, we deduce that
non-expanding conformal piecewise affine maps have zero
topological entropy. We estimate the entropy of piecewise affine
skew-products. Examples of abnormal entropy growth are provided.
Mathematics Subject Classification: Primary: 37B40, 37D50; Secondary: 37D25, 37A35.
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