Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit Drift for Complex Feigenbaum Mappings   We study the dynamics of towers defined by fixed points of renormalization
for Feigenbaum polynomials in the complex plane with varying order \ell of the
critical point. It is known that the measure of the Julia set of the Feigenbaum
polynomial is positive if and only if almost every point tends to 0 under the
dynamics of the tower for corresponding \ell. That in turn depends on the sign
of a quantity called the drift. We prove the existence and key properties of
absolutely continuous invariant measures for tower dynamics as well as their
convergence when \ell tends to infinity. We also prove the convergence of the
drifts to a finite limit which can be expressed purely in terms of the limiting
tower which corresponds to a Feigenbaum map with a flat critical point

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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol