Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorial Ricci Flows on Surfaces   We show that the analog of Hamilton's Ricci flow in the combinatorial setting
produces solutions which converge exponentially fast to Thurston's circle
packing on surfaces. As a consequence, a new proof of Thurston's existence of
circle packing theorem is obtained. As another consequence, Ricci flow suggests
a new algorithm to find circle packings.

37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph