×
Author ID: cuny.christophe Recent zbMATH articles by "Cuny, Christophe"
Published as: Cuny, Christophe; Cuny, C.

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 293 times in 160 Documents Cited by Year
Strong invariance principles with rate for “reverse” martingale differences and applications. Zbl 1353.60031
Cuny, Christophe; Merlevède, Florence
26
2015
Pointwise ergodic theorems with rate with applications to limit theorems for stationary processes. Zbl 1210.60031
Cuny, Christophe
21
2011
On martingale approximations and the quenched weak invariance principle. Zbl 1354.60031
Cuny, Christophe; Merlevède, Florence
18
2014
Almost everywhere convergence of powers of some positive \(L_p\) contractions. Zbl 1294.47011
Cohen, Guy; Cuny, Christophe; Lin, Michael
15
2014
Central limit theorem started at a point for stationary processes and additive functionals of reversible Markov chains. Zbl 1247.60031
Cuny, Christophe; Peligrad, Magda
14
2012
A quenched invariance principle for stationary processes. Zbl 1277.60056
Cuny, Christophe; Volný, Dalibor
14
2013
Limit theorems for the left random walk on \(\mathrm{GL}_{d}(\mathbb{R})\). Zbl 1388.60017
Cuny, Christophe; Dedecker, Jérôme; Jan, Christophe
12
2017
Rates in almost sure invariance principle for slowly mixing dynamical systems. Zbl 1448.37008
Cuny, Christophe; Dedecker, Jerome; Korepanov, A.; Merlevède, Florence
12
2020
On the a.s. convergence of the one-sided ergodic Hilbert transform. Zbl 1185.37006
Cuny, Christophe
11
2009
Ergodic theorems with arithmetical weights. Zbl 1364.37014
Cuny, Christophe; Weber, Michel
11
2017
Pointwise ergodic theorems with rate and application to the CLT for Markov chains. Zbl 1186.37013
Cuny, Christophe; Lin, Michael
10
2009
On the Komlós, Major and Tusnády strong approximation for some classes of random iterates. Zbl 1384.60071
Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence
9
2018
Invariance principles under the Maxwell-Woodroofe condition in Banach spaces. Zbl 1374.60060
Cuny, Christophe
9
2017
Some optimal pointwise ergodic theorems with rate. Zbl 1179.37005
Cuny, Christophe
8
2009
A functional CLT for fields of commuting transformations via martingale approximation. Zbl 1376.60055
Cuny, Christophe; Dedecker, Jerome; Volný, Dalibor
8
2016
A compact LIL for martingales in \(2\)-smooth Banach spaces with applications. Zbl 1321.60057
Cuny, Christophe
8
2015
Rates in almost sure invariance principle for quickly mixing dynamical systems. Zbl 1434.60104
Cuny, C.; Dedecker, J.; Korepanov, A.; Merlevède, F.
8
2020
Large and moderate deviations for the left random walk on \(GL_d(\mathbb{R})\). Zbl 1364.60035
Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence
7
2017
The one-sided ergodic Hilbert transform in Banach spaces. Zbl 1193.47018
Cohen, Guy; Cuny, Christophe; Lin, Michael
6
2010
Limit theorems for Markov chains by the symmetrization method. Zbl 1334.60035
Cuny, Christophe; Lin, Michael
6
2016
On convergence of power series of \(L_p\) contractions. Zbl 06814476
Cohen, Guy; Cuny, Christophe; Lin, Michael
6
2017
Rates of convergence in invariance principles for random walks on linear groups via martingale methods. Zbl 1469.60098
Cuny, C.; Dedecker, J.; Merlevède, F.
6
2021
Resolvent conditions and growth of powers of operators. Zbl 1442.47003
Cohen, Guy; Cuny, Christophe; Eisner, Tanja; Lin, Michael
5
2020
On Billard’s theorem for random Fourier series. Zbl 1112.42002
Cohen, Guy; Cuny, Christophe
4
2005
Berry-Esseen type bounds for the matrix coefficients and the spectral radius of the left random walk on \(\mathrm{GL}_d(\mathbb{R})\). (Inégalités de type Berry-Esseen pour les coefficients matriciels et pour le rayon spectral de la marche aléatoire gauche sur \(\mathrm{GL}_d(\mathbb{R})\).) Zbl 1497.60024
Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence; Peligrad, Magda
4
2022
Almost everywhere convergence of generalized ergodic transforms for invertible power-bounded operators in \(L^p\). Zbl 1229.47054
Cuny, Christophe
3
2011
On random almost periodic series and random ergodic theory. Zbl 1095.37004
Cohen, Guy; Cuny, Christophe
3
2006
Study of almost everywhere convergence of series by mean of martingale methods. Zbl 1375.37013
Cuny, Christophe; Fan, Ai Hua
3
2017
Norm convergence of some power series of operators in \(L^p\) with applications in ergodic theory. Zbl 1207.47033
Cuny, Christophe
3
2010
Weak mixing of random walks on groups. Zbl 1037.60005
Cuny, Christophe
2
2003
On random almost periodic trigonometric polynomials and applications to ergodic theory. Zbl 1100.37005
Cohen, Guy; Cuny, Christophe
2
2006
On the prediction of vector-valued random fields and the spectral distribution of their evanescent component. Zbl 1101.60025
Cuny, Christophe
2
2006
On the Ritt property and weak type maximal inequalities for convolution powers on \(\ell ^1(\mathbb {Z})\). Zbl 1385.47006
Cuny, Christophe
2
2016
Un TCL avec vitesse pour la marche aléatoire gauche sur le groupe affine de \(R^{d}\). (A CLT with rate of convergence for the left random walk on the affine group on \(R^{d}\)). Zbl 1015.60022
Cuny, Christophe
2
2003
Law of the iterated logarithm for the periodogram. Zbl 1316.60037
Cuny, Christophe; Merlevède, Florence; Peligrad, Magda
2
2013
Wiener’s lemma along primes and other subsequences. Zbl 1414.43001
Cuny, Christophe; Eisner, Tanja; Farkas, Bálint
2
2019
Resolvent conditions and growth of powers of operators on \(L^p\) spaces. Zbl 07355020
Cuny, Christophe
2
2020
Berry-Esseen type bounds for the left random walk on \({\mathrm{GL}_d}(\mathbb{R})\) under polynomial moment conditions. Zbl 1519.60031
Cuny, C.; Dedecker, J.; Merlevède, F.; Peligrad, M.
2
2023
Bounded harmonic functions on connected solvable Lie groups and existence of an invariant measure. (Sur les fonctions harmoniques bornées sur les groupes de Lie résolubles connexes et l’existence de mesure invariante.) Zbl 1076.22009
Cuny, Christophe
1
2004
On randomly weighted one-sided ergodic Hilbert transforms. Zbl 1128.47012
Cuny, C.
1
2005
Limit theorems and inequalities via martingale methods. Zbl 1347.60047
Chazottes, Jean-René; Cuny, Christophe; Dedecker, Jérôme; Fan, Xiequan; Lemler, Sarah
1
2014
On the convergence of bilateral ergodic averages. Zbl 1480.37009
Cuny, Christophe; Derriennic, Yves
1
2021
An alternative to the coupling of Berkes-Liu-Wu for strong approximations. Zbl 1392.60031
Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence
1
2018
Berry-Esseen type bounds for the left random walk on \({\mathrm{GL}_d}(\mathbb{R})\) under polynomial moment conditions. Zbl 1519.60031
Cuny, C.; Dedecker, J.; Merlevède, F.; Peligrad, M.
2
2023
Berry-Esseen type bounds for the matrix coefficients and the spectral radius of the left random walk on \(\mathrm{GL}_d(\mathbb{R})\). (Inégalités de type Berry-Esseen pour les coefficients matriciels et pour le rayon spectral de la marche aléatoire gauche sur \(\mathrm{GL}_d(\mathbb{R})\).) Zbl 1497.60024
Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence; Peligrad, Magda
4
2022
Rates of convergence in invariance principles for random walks on linear groups via martingale methods. Zbl 1469.60098
Cuny, C.; Dedecker, J.; Merlevède, F.
6
2021
On the convergence of bilateral ergodic averages. Zbl 1480.37009
Cuny, Christophe; Derriennic, Yves
1
2021
Rates in almost sure invariance principle for slowly mixing dynamical systems. Zbl 1448.37008
Cuny, Christophe; Dedecker, Jerome; Korepanov, A.; Merlevède, Florence
12
2020
Rates in almost sure invariance principle for quickly mixing dynamical systems. Zbl 1434.60104
Cuny, C.; Dedecker, J.; Korepanov, A.; Merlevède, F.
8
2020
Resolvent conditions and growth of powers of operators. Zbl 1442.47003
Cohen, Guy; Cuny, Christophe; Eisner, Tanja; Lin, Michael
5
2020
Resolvent conditions and growth of powers of operators on \(L^p\) spaces. Zbl 07355020
Cuny, Christophe
2
2020
Wiener’s lemma along primes and other subsequences. Zbl 1414.43001
Cuny, Christophe; Eisner, Tanja; Farkas, Bálint
2
2019
On the Komlós, Major and Tusnády strong approximation for some classes of random iterates. Zbl 1384.60071
Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence
9
2018
An alternative to the coupling of Berkes-Liu-Wu for strong approximations. Zbl 1392.60031
Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence
1
2018
Limit theorems for the left random walk on \(\mathrm{GL}_{d}(\mathbb{R})\). Zbl 1388.60017
Cuny, Christophe; Dedecker, Jérôme; Jan, Christophe
12
2017
Ergodic theorems with arithmetical weights. Zbl 1364.37014
Cuny, Christophe; Weber, Michel
11
2017
Invariance principles under the Maxwell-Woodroofe condition in Banach spaces. Zbl 1374.60060
Cuny, Christophe
9
2017
Large and moderate deviations for the left random walk on \(GL_d(\mathbb{R})\). Zbl 1364.60035
Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence
7
2017
On convergence of power series of \(L_p\) contractions. Zbl 06814476
Cohen, Guy; Cuny, Christophe; Lin, Michael
6
2017
Study of almost everywhere convergence of series by mean of martingale methods. Zbl 1375.37013
Cuny, Christophe; Fan, Ai Hua
3
2017
A functional CLT for fields of commuting transformations via martingale approximation. Zbl 1376.60055
Cuny, Christophe; Dedecker, Jerome; Volný, Dalibor
8
2016
Limit theorems for Markov chains by the symmetrization method. Zbl 1334.60035
Cuny, Christophe; Lin, Michael
6
2016
On the Ritt property and weak type maximal inequalities for convolution powers on \(\ell ^1(\mathbb {Z})\). Zbl 1385.47006
Cuny, Christophe
2
2016
Strong invariance principles with rate for “reverse” martingale differences and applications. Zbl 1353.60031
Cuny, Christophe; Merlevède, Florence
26
2015
A compact LIL for martingales in \(2\)-smooth Banach spaces with applications. Zbl 1321.60057
Cuny, Christophe
8
2015
On martingale approximations and the quenched weak invariance principle. Zbl 1354.60031
Cuny, Christophe; Merlevède, Florence
18
2014
Almost everywhere convergence of powers of some positive \(L_p\) contractions. Zbl 1294.47011
Cohen, Guy; Cuny, Christophe; Lin, Michael
15
2014
Limit theorems and inequalities via martingale methods. Zbl 1347.60047
Chazottes, Jean-René; Cuny, Christophe; Dedecker, Jérôme; Fan, Xiequan; Lemler, Sarah
1
2014
A quenched invariance principle for stationary processes. Zbl 1277.60056
Cuny, Christophe; Volný, Dalibor
14
2013
Law of the iterated logarithm for the periodogram. Zbl 1316.60037
Cuny, Christophe; Merlevède, Florence; Peligrad, Magda
2
2013
Central limit theorem started at a point for stationary processes and additive functionals of reversible Markov chains. Zbl 1247.60031
Cuny, Christophe; Peligrad, Magda
14
2012
Pointwise ergodic theorems with rate with applications to limit theorems for stationary processes. Zbl 1210.60031
Cuny, Christophe
21
2011
Almost everywhere convergence of generalized ergodic transforms for invertible power-bounded operators in \(L^p\). Zbl 1229.47054
Cuny, Christophe
3
2011
The one-sided ergodic Hilbert transform in Banach spaces. Zbl 1193.47018
Cohen, Guy; Cuny, Christophe; Lin, Michael
6
2010
Norm convergence of some power series of operators in \(L^p\) with applications in ergodic theory. Zbl 1207.47033
Cuny, Christophe
3
2010
On the a.s. convergence of the one-sided ergodic Hilbert transform. Zbl 1185.37006
Cuny, Christophe
11
2009
Pointwise ergodic theorems with rate and application to the CLT for Markov chains. Zbl 1186.37013
Cuny, Christophe; Lin, Michael
10
2009
Some optimal pointwise ergodic theorems with rate. Zbl 1179.37005
Cuny, Christophe
8
2009
On random almost periodic series and random ergodic theory. Zbl 1095.37004
Cohen, Guy; Cuny, Christophe
3
2006
On random almost periodic trigonometric polynomials and applications to ergodic theory. Zbl 1100.37005
Cohen, Guy; Cuny, Christophe
2
2006
On the prediction of vector-valued random fields and the spectral distribution of their evanescent component. Zbl 1101.60025
Cuny, Christophe
2
2006
On Billard’s theorem for random Fourier series. Zbl 1112.42002
Cohen, Guy; Cuny, Christophe
4
2005
On randomly weighted one-sided ergodic Hilbert transforms. Zbl 1128.47012
Cuny, C.
1
2005
Bounded harmonic functions on connected solvable Lie groups and existence of an invariant measure. (Sur les fonctions harmoniques bornées sur les groupes de Lie résolubles connexes et l’existence de mesure invariante.) Zbl 1076.22009
Cuny, Christophe
1
2004
Weak mixing of random walks on groups. Zbl 1037.60005
Cuny, Christophe
2
2003
Un TCL avec vitesse pour la marche aléatoire gauche sur le groupe affine de \(R^{d}\). (A CLT with rate of convergence for the left random walk on the affine group on \(R^{d}\)). Zbl 1015.60022
Cuny, Christophe
2
2003
all top 5

Cited by 152 Authors

24 Cuny, Christophe
20 Peligrad, Magda
19 Merlevède, Florence
16 Dedecker, Jérôme
8 Volný, Dalibor
6 Cohen, Guy
6 Giraudo, Davide
6 Hafouta, Yeor
6 Melbourne, Ian
5 Fan, Xiequan
5 Grama, Ion G.
5 Liu, Quansheng
4 Fan, Ai Hua
4 Lin, Michael
4 Peligrad, Costel
4 Vaienti, Sandro
4 Xiao, Hui
3 Conze, Jean-Pierre
3 Dragičević, Davor
3 Eisner, Tanja
3 Korepanov, Alexey
3 Le Merdy, Christian
3 Mukhamedov, Farruh Maksutovich
3 Varandas, Paulo
3 Zhang, Na
2 Abadias, Luciano
2 Araújo, Vítor
2 Barrera, David
2 Buczolich, Zoltán
2 Doukhan, Paul
2 Gomilko, Alexandre M.
2 Hervé, Loïc
2 Jirak, Moritz
2 Kaufmann, Lucas
2 Lin, Han-Mai
2 Mustafayev, Heybetkulu S.
2 Nicol, Matthew
2 Podvigin, Ivan Viktorovich
2 Schneider, Dominique
2 Seifert, David
2 Stadlbauer, Manuel
2 Su, Yaofeng
2 Tempel’man, Arkadĭ Aleksandrovich
2 Tien Cuong Dinh
2 Tomilov, Yuri
2 Török, Andrei
2 Wang, Yizao
2 Weber, Michel Jean Georges
2 Woodroofe, Michael Barrett
2 Wu, Hao
2 Zhang, Xuan
2 Zhao, Ou
1 Algom, Amir
1 Alquier, Pierre
1 Arnold, Loris
1 Arrigoni, Olivier
1 Badea, Catalin
1 Bahsoun, Wael
1 Batty, Charles J. K.
1 Bayraktar, Turgay
1 Bello, Glenier
1 Ben-Ari, Iddo
1 Berndtsson, Bo
1 Biermé, Hermine
1 Borda, Bence
1 Bruin, Henk
1 Cantrell, Stephen
1 Castro, Armando
1 Chazottes, Jean-René
1 Chen, Jianyu
1 Chenavier, Nicolas
1 Cheng, Raymond
1 Chevallier, Nicolas
1 Choi, Byoung Jin
1 Choi, Jaeyong
1 Coine, Clement
1 Czudek, Klaudiusz
1 Darwiche, Ahmad
1 Demers, Mark F.
1 Derriennic, Yves
1 Duquet, Charles
1 El Abdalaoui, El Houcein
1 Eslami, Peyman
1 Fornæss, John Erik
1 Francos, Joseph M.
1 Galatolo, Stefano
1 Galé, José E.
1 Gao, Xiang
1 Giannitsi, Christina
1 Gopakumar, Aswin
1 Gordin, Mikhail Iosifovich
1 Green, Jonah
1 Guo, Yongjiang
1 Haase, Markus
1 Hairer, Martin
1 Haydn, Nicolai T. A.
1 Hendzel, Jan Zenon
1 Hennion, Hubert
1 Jan, Christophe
1 Kachurovskii, Aleksander G.
...and 52 more Authors
all top 5

Cited in 69 Serials

16 Stochastic Processes and their Applications
11 Journal of Mathematical Analysis and Applications
9 Ergodic Theory and Dynamical Systems
8 Stochastics and Dynamics
7 Bernoulli
6 Journal of Theoretical Probability
5 Advances in Mathematics
5 The Annals of Probability
5 Statistics & Probability Letters
4 Transactions of the American Mathematical Society
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Statistical Physics
3 Nonlinearity
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Communications in Mathematical Physics
2 Israel Journal of Mathematics
2 Chaos, Solitons and Fractals
2 Journal of Applied Probability
2 Proceedings of the London Mathematical Society. Third Series
2 Probability Theory and Related Fields
2 Electronic Communications in Probability
2 The Journal of Fourier Analysis and Applications
2 Brazilian Journal of Probability and Statistics
2 ALEA. Latin American Journal of Probability and Mathematical Statistics
2 Advances in Operator Theory
2 Annales Henri Lebesgue
1 Analysis Mathematica
1 Bulletin of the Australian Mathematical Society
1 Journal d’Analyse Mathématique
1 Lithuanian Mathematical Journal
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 Acta Scientiarum Mathematicarum
1 Annales de l’Institut Fourier
1 Bulletin of the London Mathematical Society
1 Colloquium Mathematicum
1 Functional Analysis and its Applications
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of Approximation Theory
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Mathematica Scandinavica
1 Real Analysis Exchange
1 Transactions of the Moscow Mathematical Society
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Statistics
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 The Annals of Applied Probability
1 The Journal of Geometric Analysis
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Journal of Mathematical Sciences (New York)
1 Electronic Journal of Probability
1 Discrete and Continuous Dynamical Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Nonlinear Dynamics
1 Conformal Geometry and Dynamics
1 Positivity
1 Revista Matemática Complutense
1 Journal of the European Mathematical Society (JEMS)
1 Journal of Evolution Equations
1 Oberwolfach Reports
1 Journal of Industrial and Management Optimization
1 Stochastics
1 Complex Analysis and Operator Theory
1 Operators and Matrices
1 Research in the Mathematical Sciences
1 Proceedings of the American Mathematical Society. Series B

Citations by Year