Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constraint satisfaction mechanisms for marginal stability and
  criticality in large ecosystems   We discuss a resource-competition model, which takes the MacArthur's model as
a platform, to unveil interesting connections with glassy features and jamming
in high dimension. This model presents two qualitatively different phases: a
"shielded" phase, where a collective and self-sustained behavior emerges, and a
"vulnerable" phase, where a small perturbation can destabilize the system and
contribute to population extinction. We first present our perspective based on
a strong similarity with continuous constraint satisfaction problems in their
convex regime. Then, we discuss the stability in terms of the computation of
the leading eigenvalue of the Hessian matrix of the free energy in the replica
space. This computation allows us to efficiently distinguish between the two
aforementioned phases and to relate high-dimensional critical ecosystems to
glassy phenomena in the low-temperature regime.

9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol