Limit theorems for the zig-zag process
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Publication:5233190
DOI10.1017/apr.2017.22zbMath1433.65008arXiv1607.08845OpenAlexW2963196664MaRDI QIDQ5233190
Joris Bierkens, Andrew B. Duncan
Publication date: 16 September 2019
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.08845
functional central limit theoremcentral limit theoremMCMCpiecewise deterministic Markov processcontinuous-time Markov processnonreversible Markov process
Central limit and other weak theorems (60F05) Continuous-time Markov processes on general state spaces (60J25) Monte Carlo methods (65C05) Functional limit theorems; invariance principles (60F17)
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Cites Work
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- Simulation of nonhomogeneous poisson processes by thinning
- The Zig-Zag Process and Super-Efficient Sampling for Bayesian Analysis of Big Data
- The Bouncy Particle Sampler: A Non-Reversible Rejection-Free Markov Chain Monte Carlo Method
- Variance reduction using nonreversible Langevin samplers
- Long time behavior of telegraph processes under convex potentials
- Improving the convergence of reversible samplers
- Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion
- On \(\mathcal{H}^1\) and entropic convergence for contractive PDMP
- Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
- Accelerating Gaussian diffusions
- A piecewise deterministic scaling limit of lifted Metropolis-Hastings in the Curie-Weiss model
- Variance reduction for irreversible Langevin samplers and diffusion on graphs
- A Liapounov bound for solutions of the Poisson equation
- Accelerating reversible Markov chains
- Piecewise deterministic simulated annealing
- Central limit theorems for additive functionals of ergodic Markov diffusions processes
- Irreversible Langevin samplers and variance reduction: a large deviations approach
- Stability of Markovian processes II: continuous-time processes and sampled chains
- Piecewise deterministic Markov process — recent results
- Probability
- Quantitative Estimates for the Long-Time Behavior of an Ergodic Variant of the Telegraph Process
- Equation of State Calculations by Fast Computing Machines
- Fluctuations in Markov Processes
- Monte Carlo sampling methods using Markov chains and their applications
- A function space HMC algorithm with second order Langevin diffusion limit