Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A maximin characterization of the escape rate of nonexpansive mappings
  in metrically convex spaces   We establish a maximin characterisation of the linear escape rate of the
orbits of a non-expansive mapping on a complete (hemi-)metric space, under a
mild form of Busemann's non-positive curvature condition (we require a
distinguished family of geodesics with a common origin to satisfy a convexity
inequality). This characterisation, which involves horofunctions, generalises
the Collatz-Wielandt characterisation of the spectral radius of a non-negative
matrix. It yields as corollaries a theorem of Kohlberg and Neyman (1981),
concerning non-expansive maps in Banach spaces, a variant of a Denjoy-Wolff
type theorem of Karlsson (2001), together with a refinement of a theorem of
Gunawardena and Walsh (2003), concerning order-preserving positively
homogeneous self-maps of symmetric cones. An application to zero-sum stochastic
games is also given.

15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th