Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A combinatorial approach to a model of constrained random walkers   In [1], the authors consider a random walk $(Z_{n,1},\ldots,Z_{n,K+1})\in
\mathbb{Z}^{K+1}$ with the constraint that each coordinate of the walk is at
distance one from the following one. A functional central limit theorem for the
first coordinate is proved and the limit variance is explicited. In this paper,
we study an extended version of this model by conditioning the extremal
coordinates to be at some fixed distance at every time. We prove a functional
central limit theorem for this random walk. Using combinatorial tools, we give
a precise formula of the variance and compare it with the one obtained in [1].

5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th