Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Composing Networks of Automated Market Makers   Automated market makers (AMMs) are automata that trade electronic assets at
rates set by mathematical formulas. AMMs are usually implemented by smart
contracts on blockchains. In practice, AMMs are often composed: and outputs
from AMMs can be directed into other compatible AMMs. This paper proposes a
mathematical model for AMM composition. We define sequential and parallel
composition operators for AMMs in a way that ensures that AMMs are closed under
composition, in a way that works for "higher-dimensional" AMMs that manage more
than two asset classes, and so the composition of AMMs in "stable" states
remains stable.

21
The categories of this paper are: adap-org
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas