Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Pendulum Arrangement: Maximizing the Escape Time of Heterogeneous
  Random Walks   We identify a fundamental phenomenon of heterogeneous one dimensional random
walks: the escape (traversal) time is maximized when the heterogeneity in
transition probabilities forms a pyramid-like potential barrier. This barrier
corresponds to a distinct arrangement of transition probabilities, sometimes
referred to as the pendulum arrangement. We reduce this problem to a sum over
products, combinatorial optimization problem, proving that this unique
structure always maximizes the escape time. This general property may influence
studies in epidemiology, biology, and computer science to better understand
escape time behavior and construct intruder-resilient networks.

36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas