Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limiting directions for random walks in classical affine Weyl groups   Let $W$ be a finite Weyl group and $\widetilde W$ the corresponding affine
Weyl group. A random element of $\widetilde W$ can be obtained as a reduced
random walk on the alcoves of $\widetilde W$. By a theorem of Lam (Ann. Prob.
2015), such a walk almost surely approaches one of $|W|$ many directions. We
compute these directions when $W$ is $B_n$, $C_n$ and $D_n$ and the random walk
is weighted by Kac and dual Kac labels. This settles Lam's questions for types
$B$ and $C$ in the affirmative and for type $D$ in the negative. The main tool
is a combinatorial two row model for a totally asymmetric simple exclusion
process called the $D^*$-TASEP, with four parameters. By specializing the
parameters in different ways, we obtain TASEPs for each of the Weyl groups
mentioned above. Computing certain correlations in these TASEPs gives the
desired limiting directions.

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The categories of this paper are: hep-ph
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th