Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hitting time of large subsets of the hypercube   We study the simple random walk on the $n$-dimensional hypercube, in
particular its hitting times of large (possibly random) sets. We give simple
conditions on these sets ensuring that the properly-rescaled hitting time is
asymptotically exponentially distributed, uniformly in the starting position of
the walk. These conditions are then verified for percolation clouds with
densities that are much smaller than $(n \log n)^{-1}$. A main motivation
behind this paper is the study of the so-called aging phenomenon in the Random
Energy Model (REM), the simplest model of a mean-field spin glass. Our results
allow us to prove aging in the REM for all temperatures, thereby extending
earlier results to their optimal temperature domain.

16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th