Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some recent applications of the barycenter method in geometry   In this paper we describe some recent applications of the barycenter method
in geometry. This method was first used by Duady-Earle and later greatly
extended by Besson-Courtois-Gallot in their solution of a number of
long-standing problems, in particular in their proof of entropy rigidity for
closed, negatively curved locally symmetric manifolds. Since there are already
a number of surveys describing this work, we will concentrate here only on
advances that have occured after these surveys appeared. While most of this
paper is a report on results appearing in other papers, some of the material
here is new.

18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat