Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $W_{1,+}$-interpolation of probability measures on graphs   We generalize an equation introduced by Benamou and Brenier, characterizing
Wasserstein W_p-geodesics for p > 1, from the continuous setting of probability
distributions on a Riemannian manifold to the discrete setting of probability
distributions on a general graph. Given an initial and a final distributions
f_0 and f_1, we prove the existence of a curve (f_t) satisfying this
Benamou-Brenier equation. We also show that such a curve can be described as a
mixture of binomial distributions with respect to a coupling that is solution
of a certain optimization problem.

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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga