Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-existence of non-trivial bi-infinite geodesics in Geometric Last
  Passage Percolation   We show non-existence of non-trivial bi-infinite geodesics in the solvable
last-passage percolation model with i.i.d. geometric weights. This gives the
first example of a model with discrete weights where non-existence of
non-trivial bi-infinite geodesics has been proven. Our proofs rely on the
structure of the increment-stationary versions of the model, following the
approach recently introduced by Bal\'azs, Busani, and Sepp\"al\"ainen. Most of
our results work for a general weights distribution and we identify the two
properties of the stationary distributions which would need to be shown in
order to generalize the main result to a non-solvable setting.

12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat