Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measures of intermediate entropies for star vector fields   We prove that all star vector fields, including Lorenz attractors and
multisingular hyperbolic vector fields, admit the intermediate entropy
property. To be precise, if $X$ is a star vector field with $h_{top}(X)>0$,
then for any $h\in [0,h_{top}(X))$, there exists an ergodic invariant measure
$\mu$ of $X$ such that $h_{\mu}(X)=h$. Moreover, we show that the topological
entropy is lower semi-continuous for star vector fields.

24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin