Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinitesimal rigidity and prestress stability for frameworks in normed
  spaces   A (bar-and-joint) framework is a set of points in a normed space with a set
of fixed distance constraints between them. Determining whether a framework is
locally rigid - i.e. whether every other suitably close framework with the same
distance constraints is an isometric copy - is NP-hard when the normed space
has dimension 2 or greater. We can reduce the complexity by instead considering
derivatives of the constraints, which linearises the problem. By applying
methods from non-smooth analysis, we shall strengthen previous sufficient
conditions for framework rigidity that utilise first-order derivatives. We
shall also introduce the notions of prestress stability and second-order
rigidity to the topic of normed space rigidity, two weaker sufficient
conditions for framework rigidity previously only considered for Euclidean
spaces.

17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom