Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the convergence of Hamiltonian Monte Carlo   This paper discusses the irreducibility and geometric ergodicity of the
Hamiltonian Monte Carlo (HMC) algorithm. We consider cases where the number of
steps of the symplectic integrator is either fixed or random. Under mild
conditions on the potential $\F$ associated with target distribution $\pi$, we
first show that the Markov kernel associated to the HMC algorithm is
irreducible and recurrent. Under more stringent conditions, we then establish
that the Markov kernel is Harris recurrent. Finally, we provide verifiable
conditions on $\F$ under which the HMC sampler is geometrically ergodic.

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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph