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The zigzag process is a variant of the telegraph process with position dependent switching intensities.
On some connections between probability theory and differential and integral equations
M Kac · 1951
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Complex zeros of the error function and of the complementary error function
Henry E Fettis, James C Caslin, and Kenneth R Cramer · 1973
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Spectral theory for contraction semigroups on Hilbert space
Larry Gearhart · 1978
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Characteristic matrices and spectral properties of evolutionary systems
M. A. Kaashoek and S. M. Verduyn Lunel · 1992
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Perturbation theory for linear operators
Tosio Kato · 1995
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One-parameter semigroups for linear evolution equations
Klaus-Jochen Engel and Rainer Nagel · 2000
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Geometric L 2 L^{2} and L 1 L^{1} convergence are equivalent for reversible Markov chains
Gareth O Roberts and Richard L Tweedie · 2001
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Locating all the zeros of an analytic function in one complex variable
Michael Dellnitz, Oliver Schütze, and Qinghua Zheng · 2002
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Asymptotic variance and convergence rates of nearly-periodic Markov chain Monte Carlo algorithms
Jeffrey S. Rosenthal · 2003
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Linear operators and their spectra
E Brian Davies · 2007
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Analytical methods for Markov semigroups
Luca Lorenzi and Marcello Bertoldi · 2007
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Quantitative estimates for the long-time behavior of an ergodic variant of the telegraph process
J. Fontbona, H. Guérin, and F. Malrieu · 2012
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Rejection-free Monte Carlo sampling for general potentials
E. A. J. F. Peters and G. De With · 2012
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Étude spectrale minutieuse de processus moins indécis que les autres
L. Miclo and P. Monmarché · 2013
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Hypocoercivity for linear kinetic equations conserving mass
Jean Dolbeault, Clément Mouhot, and Christian Schmeiser · 2015
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Limit theorems for the Zig-Zag process
J. Bierkens and A. Duncan · 2017
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A piecewise deterministic scaling limit of lifted Metropolis–Hastings in the Curie–Weiss model
Joris Bierkens and Gareth Roberts · 2017
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The Bouncy Particle Sampler: A Non-Reversible Rejection-Free Markov Chain Monte Carlo Method
Alexandre Bouchard-Côté, Sebastian J Vollmer, and Arnaud Doucet · 2017
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Hypercoercivity of Piecewise Deterministic Markov Process-Monte Carlo
Christophe Andrieu, Alain Durmus, Nikolas Nüsken, and Julien Roussel · 2018
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The Zig-Zag Process and Super-Efficient Sampling for Bayesian Analysis of Big Data
J. Bierkens, P. Fearnhead, and G. O. Roberts · 2019
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Long time behavior of telegraph processes under convex potentials
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