Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergent complex geometry   This is a double exposure of the probabilistic construction of
Kahler-Einstein metrics on a complex projective algebraic variety X - where the
Kahler-Einstein metric emerges from a canonical random point process on X - and
the variational approach to the Yau-Tian-Donaldson conjecture, highlighting
their connections. The final section is a report on joint work in progress with
S\'ebastien Boucksom and Mattias Jonsson on how the non-Archimedean geometry of
X (with respect to the trivial absolute value) also emerges from the
probabilistic framework.

4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: stat