Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A model of Poissonian interactions and detection of dependence   This paper proposes a model of interactions between two point processes,
ruled by a reproduction function h, which is considered as the intensity of a
Poisson process. In particular, we focus on the context of neurosciences to
detect possible interactions in the cerebral activity associated with two
neurons. To provide a mathematical answer to this specific problem of
neurobiologists, we address so the question of testing the nullity of the
intensity h. We construct a multiple testing procedure obtained by the
aggregation of single tests based on a wavelet thresholding method. This test
has good theoretical properties: it is possible to guarantee the level but also
the power under some assumptions and its uniform separation rate over weak
Besov bodies is adaptive minimax. Then, some simulations are provided, showing
the good practical behavior of our testing procedure.

11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org