Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Poincaré inequalities and hitting times

Patrick Cattiaux, Arnaud Guillin and Pierre André Zitt
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 49 (1) (2013)
DOI: 10.1214/11-AIHP447
See this article

On the convergence rates of some adaptive Markov chain Monte Carlo algorithms

Yves Atchadé and Yizao Wang
Journal of Applied Probability 52 (03) 811 (2015)
DOI: 10.1017/S0021900200113452
See this article

Uniform concentration inequality for ergodic diffusion processes observed at discrete times

L. Galtchouk and S. Pergamenshchikov
Stochastic Processes and their Applications 123 (1) 91 (2013)
DOI: 10.1016/j.spa.2012.09.004
See this article

Concentration inequalities for additive functionals: A martingale approach

Bob Pepin
Stochastic Processes and their Applications 135 103 (2021)
DOI: 10.1016/j.spa.2021.01.004
See this article

Hitting times, functional inequalities, Lyapunov conditions and uniform ergodicity

Patrick Cattiaux and Arnaud Guillin
Journal of Functional Analysis 272 (6) 2361 (2017)
DOI: 10.1016/j.jfa.2016.10.003
See this article

Measure concentration through non-Lipschitz observables and functional inequalities

Aldéric Joulin and Arnaud Guillin
Electronic Journal of Probability 18 (none) (2013)
DOI: 10.1214/EJP.v18-2425
See this article

Online Network Optimization Using Product-Form Markov Processes

Jaron Sanders, Sem C. Borst and Johan S. H. van Leeuwaarden
IEEE Transactions on Automatic Control 61 (7) 1838 (2016)
DOI: 10.1109/TAC.2015.2482961
See this article

Bernstein type’s concentration inequalities for symmetric Markov processes

F Gao, F Gao, Arnaud Guillin, et al.
Теория вероятностей и ее применения 58 (3) 521 (2013)
DOI: 10.4213/tvp4524
See this article

Bernstein-type Concentration Inequalities for Symmetric Markov Processes

F. Gao, A. Guillin and L. Wu
Theory of Probability & Its Applications 58 (3) 358 (2014)
DOI: 10.1137/S0040585X97986667
See this article

Séminaire de Probabilités XLIX

Emmnuel Boissard, Patrick Cattiaux, Arnaud Guillin and Laurent Miclo
Lecture Notes in Mathematics, Séminaire de Probabilités XLIX 2215 1 (2018)
DOI: 10.1007/978-3-319-92420-5_1
See this article

Sparse inference of the drift of a high-dimensional Ornstein–Uhlenbeck process

Stéphane Gaïffas and Gustaw Matulewicz
Journal of Multivariate Analysis 169 1 (2019)
DOI: 10.1016/j.jmva.2018.08.005
See this article

Transportation-information inequalities for Markov processes

Arnaud Guillin, Christian Léonard, Liming Wu and Nian Yao
Probability Theory and Related Fields 144 (3-4) 669 (2009)
DOI: 10.1007/s00440-008-0159-5
See this article

On the convergence rates of some adaptive Markov chain Monte Carlo algorithms

Yves Atchadé and Yizao Wang
Journal of Applied Probability 52 (3) 811 (2015)
DOI: 10.1239/jap/1445543848
See this article

Weak logarithmic Sobolev inequalities and entropic convergence

P. Cattiaux, I. Gentil and A. Guillin
Probability Theory and Related Fields 139 (3-4) 563 (2007)
DOI: 10.1007/s00440-007-0054-5
See this article

A Shape Theorem for a One-Dimensional Growing Particle System with a Bounded Number of Occupants per Site

Viktor Bezborodov, Luca Di Persio and Tyll Krueger
Journal of Theoretical Probability (2020)
DOI: 10.1007/s10959-020-01032-x
See this article

Uncertainty Quantification for Markov Processes via Variational Principles and Functional Inequalities

Jeremiah Birrell and Luc Rey-Bellet
SIAM/ASA Journal on Uncertainty Quantification 8 (2) 539 (2020)
DOI: 10.1137/19M1237429
See this article

Large deviation principles for Markov processes via Phi-Sobolev inequalities

Liming Wu and Nian Yao
Electronic Communications in Probability 13 (none) (2008)
DOI: 10.1214/ECP.v13-1342
See this article

Adaptive invariant density estimation for ergodic diffusions over anisotropic classes

Claudia Strauch
The Annals of Statistics 46 (6B) (2018)
DOI: 10.1214/17-AOS1664
See this article

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)
DOI: 10.1214/10-AIHP359
See this article

A new Poisson-type deviation inequality for Markov jump processes with positive Wasserstein curvature

Aldéric Joulin
Bernoulli 15 (2) (2009)
DOI: 10.3150/08-BEJ158
See this article

Ergodicity of self-attracting motion

Victor Kleptsyn and Aline Kurtzmann
Electronic Journal of Probability 17 (none) (2012)
DOI: 10.1214/EJP.v17-2121
See this article

Trends to equilibrium in total variation distance

Patrick Cattiaux and Arnaud Guillin
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 45 (1) (2009)
DOI: 10.1214/07-AIHP152
See this article

Spectral condition, hitting times and Nash inequality

Eva Löcherbach, Oleg Loukianov and Dasha Loukianova
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 50 (4) (2014)
DOI: 10.1214/13-AIHP560
See this article

Curvature, concentration and error estimates for Markov chain Monte Carlo

Aldéric Joulin and Yann Ollivier
The Annals of Probability 38 (6) (2010)
DOI: 10.1214/10-AOP541
See this article

Deviation inequalities and moderate deviations for estimators of parameters in an Ornstein-Uhlenbeck process with linear drift

Fuqing Gao and Hui Jiang
Electronic Communications in Probability 14 (none) (2009)
DOI: 10.1214/ECP.v14-1466
See this article

Jaron Sanders, Sem C. Borst and Johan S.H. van Leeuwaarden
928 (2012)
DOI: 10.1109/Allerton.2012.6483318
See this article