Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimensional preimage entropies   Let $X$ be a compact complex manifold of dimension $k$ and $f:X
\longrightarrow X$ be a dominating meromorphic map. We generalize the notion of
topological entropy, by defining a quantity $h_{(m,l)}^{top}(f)$ which measures
the action of $f$ on local analytic sets $W$ of dimension $l$ with $W \subset
f^{-n}(\Delta)$ where $\Delta$ is a local analytic set of dimension $m$. We
give then inequalities between $h_{(m,l)}^{top}(f)$ and Lyapounov exponents of
suitable invariant measures.

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The categories of this paper are: hep-th
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics