Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal Entropy Measures for Piecewise Affine Surface Homeomorphisms   We study the dynamics of piecewise affine surface homeomorphisms from the
point of view of their entropy. Under the assumption of positive topological
entropy, we establish the existence of finitely many ergodic and invariant
probability measures maximizing entropy and prove a multiplicative lower bound
for the number of periodic points. This is intended as a step towards the
understanding of surface diffeomorphisms. We proceed by building a jump
transformation, using not first returns but carefully selected "good" returns
to dispense with Markov partitions. We control these good returns through some
entropy and ergodic arguments.

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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph