Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Analysis of Causal Dynamical Triangulations via Finite Element
  Method   We reconsider dual graph representations for simplicial manifolds in Causal
Dynamical Triangulations (CDT) as a mean to build observables with legitimate
geometric content, and propose an improved representation based on Finite
Element Method (FEM) techniques. In particular, we discuss the spectral
properties of the Laplace-Beltrami operator on simplicial manifolds and compare
earlier spectral results using the dual graph representation with new ones
making use of a FEM representation. We find that, while in the FEM framework it
is always possible to set up a procedure that is guaranteed to converge to the
true Laplace-Beltrami spectrum, this cannot be done in general by using the
dual graph formulation.

12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci