Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic random walks in the setting of symmetric functions   Using the standard formulation of algebraic random walks (ARWs) via
coalgebras, we consider ARWs for co-and Hopf-algebraic structures in the ring
of symmetric functions. These derive from different types of products by
dualisation, giving the dual pairs of outer multiplication and outer coproduct,
inner multiplication and inner coproduct, and symmetric function plethysm and
plethystic coproduct. Adopting standard coordinates for a class of measures
(and corresponding distribution functions) to guarantee positivity and correct
normalisation, we show the effect of appropriate walker steps of the outer,
inner and plethystic ARWs. If the coordinates are interpreted as heights or
occupancies of walker(s) at different locations, these walks introduce
translations, dilations (scalings) and inflations of the height coordinates,
respectively.

26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con