Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A quantified local-to-global principle for Morse quasigeodesics   In arXiv:1403.7671, Kapovich, Leeb and Porti gave several new
characterizations of Anosov representations $\Gamma \to G$, including one where
geodesics in the word hyperbolic group $\Gamma$ map to "Morse quasigeodesics"
in the associated symmetric space $G/K$. In analogy with the negative curvature
setting, they prove a local-to-global principle for Morse quasigeodesics and
describe an algorithm which can verify the Anosov property of a given
representation in finite time. However, some parts of their proof involve
non-constructive compactness and limiting arguments, so their theorem does not
explicitly quantify the size of the local neighborhoods one needs to examine to
guarantee global Morse behavior. In this paper, we supplement their work with
estimates in the symmetric space to obtain the first explicit criteria for
their local-to-global principle. This makes their algorithm for verifying the
Anosov property effective. As an application, we demonstrate how to compute
explicit perturbation neighborhoods of Anosov representations with two
examples.

24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio