Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cores for Piecewise-Deterministic Markov Processes used in Markov Chain
  Monte Carlo   We show fundamental properties of the Markov semigroup of recently proposed
MCMC algorithms based on piecewise-deterministic Markov processes (PDMPs) such
as the Bouncy Particle Sampler, the Zig Zag Process or the Randomized
Hamiltonian Monte Carlo method. Under assumptions typically satisfied in MCMC
settings, we prove that PDMPs are Feller processes and the space of infinitely
differentiable functions with compact support forms a core of their generator.
As we illustrate via martingale problems and a simplified proof of the
invariance of target distributions, these results provide a fundamental tool
for the rigorous analysis of these algorithms.

18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin