Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariance of entropy for maps isotopic to Anosov   We prove the topological entropy remains constant inside the class of
partially hyperbolic diffeomorphisms of $\mathbb{T}^d$ with simple central
bundle (that is, when it decomposes into one dimensional sub-bundles with
controlled geometry) and such that their induced action on $H_1(\mathbb{T}^d)$
is hyperbolic. In absence of the simplicity condition we construct a robustly
transitive counter-example.

1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat