Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Common hypercyclic vectors and dimension of the parameter set   We investigate the existence of a common hypercyclic vector for a family
$(T_\lambda)_{\lambda\in \Lambda}$ of hypercyclicoperators acting on the same
Banach space $X$. We give positive and negative results involving the dimension
of $\Lambda$ and the regularity of each map $\lambda\in \Lambda\mapsto
T_\lambda^n x$, $x\in X$, $n\in\mathbb N$.

33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
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The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int