Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deviation bounds for additive functionals of Markov process   In this paper we derive non asymptotic deviation bounds for $$\P_\nu (|\frac
1t \int_0^t V(X_s) ds - \int V d\mu | \geq
  R)$$ where $X$ is a $\mu$ stationary and ergodic Markov process and $V$ is
some $\mu$ integrable function. These bounds are obtained under various moments
assumptions for $V$, and various regularity assumptions for $\mu$. Regularity
means here that $\mu$ may satisfy various functional inequalities (F-Sobolev,
generalized Poincar\'e etc...).

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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
12
The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: atom-ph