Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Windings of planar random walks and averaged Dehn function   We prove a sharp estimate on the expected value of the integral of the index
of a simple random walk on the square or triangular lattice. This gives new
lower bounds on the averaged Dehn function, which measures the expected area
needed to fill a random curve with a disc.

5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga