Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of hyperbolic iwips   We present two proofs of the fact, originally due to Reiner Martin, that any
fully irreducible hyperbolic element of $Out(F_N)$ acts on the projectivized
space of geodesic currents $\mathbb{P}Curr(F_N)$ with uniform north-south
dynamics. The first proof, using purely train-track methods, provides an
elaborated and corrected version of Reiner Martin's original approach. The
second proof uses the geometric intersection form of Kapovich and Lustig and
relies on unique ergodicity results from symbolic dynamics.

25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess