Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thinning and Multilevel Monte Carlo for Piecewise Deterministic (Markov)
  Processes. Application to a stochastic Morris-Lecar model   In the first part of this paper we study approximations of trajectories of
Piecewise Deter-ministic Processes (PDP) when the flow is not explicit by the
thinning method. We also establish a strong error estimate for PDPs as well as
a weak error expansion for Piecewise Deterministic Markov Processes (PDMP).
These estimates are the building blocks of the Multilevel Monte Carlo (MLMC)
method which we study in the second part. The coupling required by MLMC is
based on the thinning procedure. In the third part we apply these results to a
2-dimensional Morris-Lecar model with stochastic ion channels. In the range of
our simulations the MLMC estimator outperforms the classical Monte Carlo one.

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The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
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The categories of this paper are: econ
21
The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th