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Adaptive invariant density estimation for continuous-time mixing Markov processes under sup-norm risk
Niklas Dexheimer, Claudia Strauch and Lukas Trottner Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 58(4) (2022) https://doi.org/10.1214/21-AIHP1235
Self-improvement of the Bakry-Emery criterion for Poincaré inequalities and Wasserstein contraction using variable curvature bounds
Concentration of scalar ergodic diffusions and some statistical implications
Cathrine Aeckerle-Willems and Claudia Strauch Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 57(4) (2021) https://doi.org/10.1214/20-AIHP1144
General Bernstein-Like Inequality for Additive Functionals of Markov Chains
New Bernstein and Hoeffding type inequalities
for regenerative Markov chains
Patrice Bertail and Gabriela Ciolek Latin American Journal of Probability and Mathematical Statistics 16(1) 259 (2019) https://doi.org/10.30757/ALEA.v16-09
Effective Berry–Esseen and concentration bounds for Markov chains with a spectral gap
Limit theorems for stationary Markov processes with L2-spectral gap
Déborah Ferré, Loïc Hervé and James Ledoux Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 48(2) (2012) https://doi.org/10.1214/11-AIHP413
Fluctuations in Markov Processes
Tomasz Komorowski, Claudio Landim and Stefano Olla Grundlehren der mathematischen Wissenschaften, Fluctuations in Markov Processes 345 33 (2012) https://doi.org/10.1007/978-3-642-29880-6_2
Polynomial bounds in the Ergodic theorem for one-dimensional diffusions and integrability of hitting times
Eva Löcherbach, Dasha Loukianova and Oleg Loukianov Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 47(2) (2011) https://doi.org/10.1214/10-AIHP359
Transportation-information inequalities for Markov processes
Computer Simulations in Condensed Matter Systems: From Materials to Chemical Biology Volume 1
E. Meerbach, E. Dittmer, I. Horenko and C. Schütte Lecture Notes in Physics, Computer Simulations in Condensed Matter Systems: From Materials to Chemical Biology Volume 1 703 495 (2006) https://doi.org/10.1007/3-540-35273-2_14