Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a degenerating limit theorem of DeMarco--Faber   One of our aims is to complement the proof of DeMarco--Faber's degenerating
limit theorem for the family of the unique maximal entropy measures
parametrized by a punctured open disk associated to a meromorphic family of
rational functions on the complex projective line degenerating at the puncture.
This complementation is done by our main result, which rectifies a key
computation in their argument. We also establish and use a direct and explicit
translation from degenerating complex dynamics into quantized Berkovich
dynamics, instead of using DeMarco--Faber's more conceptual transfer principle
between those dynamics.

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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: eess
18
The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol