Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness of optimal solutions for semi-discrete transport with p-norm
  cost functions   Semi-discrete transport can be characterized in terms of real-valued shifts.
Often, but not always, the solution to the shift-characterized problem
partitions the continuous region. This paper gives examples of when
partitioning fails, and offers a large class of semi-discrete transport
problems where the shift-characterized solution is always a partition.

19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
3
The categories of this paper are: physics