Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A shape theorem and semi-infinite geodesics for the Hammersley model
  with random weights   In this paper we will prove a shape theorem for the last passage percolation
model on a two dimensional $F$-compound Poisson process, called the Hammersley
model with random weights. We will also provide diffusive upper bounds for
shape fluctuations. Finally we will indicate how these results can be used to
prove existence and coalescence of semi-infinite geodesics in some fixed
direction $\alpha$, following an approach developed by Newman and co-authors,
and applied to the classical Hammersley process by W\"uthrich. These results
will be crucial in the development of an upcoming paper on the relation between
Busemann functions and equilibrium measures in last passage percolation models.

20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol