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math.PR2019
Large deviations for the empirical measure of the zig-zag process
Joris Bierkens, Pierre Nyquist, Mikola C. Schlottke
The zig-zag process is a piecewise deterministic Markov process in position and velocity space. The process can be designed to have an arbitrary Gibbs type marginal probability den…
math.PR2019★ 3 cited
Spectral analysis of the zigzag process
Joris Bierkens, Sjoerd M. Verduyn Lunel
The zigzag process is a variant of the telegraph process with position dependent switching intensities. A characterization of the -spectrum for the generator of the one-dimens…