Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Une caracterisation des endomorphismes de Lattes par leur mesure de
  Green   We show that the Lattes endomorphisms are the only holomorphic endomorphisms
of the complex k-dimensional projective space whose measure of maximal entropy
is absolutely continuous with respect to the Lebesgue measure. As a
consequence, Lattes endomorphisms are also characterized by other extremal
properties as the maximality of the Hausdorff dimension of their measure of
maximal entropy or the minimality of their Liapounov exponents. Our proof uses
a linearization method which is of independant interest and a previous
characterization by the regularity of the Green current.

31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ