Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Choices, intervals and equidistribution   We give a sufficient condition for a random sequence in [0,1] generated by a
$\Psi$-process to be equidistributed. The condition is met by the canonical
example -- the $\max$-2 process -- where the $n$th term is whichever of two
uniformly placed points falls in the larger gap formed by the previous $n-1$
points. This solves an open problem from Itai Benjamini, Pascal Maillard and
Elliot Paquette. We also deduce equidistribution for more general
$\Psi$-processes. This includes an interpolation of the $\min$-2 and $\max$-2
processes that is biased towards $\min$-2.

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The categories of this paper are: q-fin
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The categories of this paper are: eess
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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: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: physics
1
The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat