Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Piecewise deterministic Markov process - recent results   We give a short overview of recent results on a specific class of Markov
process: the Piecewise Deterministic Markov Processes (PDMPs). We first recall
the definition of these processes and give some general results. On more
specific cases such as the TCP model or a model of switched vector fields,
better results can be proved, especially as regards long time behaviour. We
continue our review with an infinite dimensional example of neuronal activity.
From the statistical point of view, these models provide specific challenges:
we illustrate this point with the example of the estimation of the distribution
of the inter-jumping times. We conclude with a short overview on numerical
methods used for simulating PDMPs.

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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th