Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coding multitype branching forests: application to the law of the total
  progeny of branching forest and to enumerations   By extending the breadth first search algorithm to any d-type critical or
subcritical irreducible branching forest, we show that such forests may be
encoded through d independent, integer valued, d-dimensional random walks. An
application of this coding together with a multivariate extension of the Ballot
Theorem which is proved here, allow us to give an explicit form of the law of
the total progeny, jointly with the number of subtrees of each type, in terms
of the offspring distribution of the branching process. We then apply these
results to some enumeration formulas of multitype forests with given degrees
and to a new proof of the Lagrange-Good inversion Theorem.

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The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph