Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The vectorial kernel method for walks with longer steps   Asinowski, Bacher, Banderier and Gittenberger (A. Asinowski, A. Bacher, C.
Banderier and B. Gittenberger. Analytic combinatorics of lattice paths with
forbidden patterns, the vectorial kernel method, and generating functions for
pushdown automata. Algorithmica, pp. 1-43, 2019.) recently developed the
vectorial kernel method - a powerful extension of the classical kernel method
that can be used for paths that obey constraints that can be described by
finite automata, e.g. avoid a fixed pattern, avoid several patterns at once,
stay in a horizontal strip and many others more. However, they only considered
walks with steps of length one. In this paper we will generalize their results
to walks with longer steps. We will also give some applications of this
extension and prove a conjecture about the asymptotic behavior of the expected
number of ascents in Schroeder paths.

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The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
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The categories of this paper are: eess
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int