Edit Profile (opens in new tab) Cuny, Christophe Co-Author Distance Author ID: cuny.christophe Published as: Cuny, Christophe; Cuny, C. Documents Indexed: 56 Publications since 1998, including 5 Additional arXiv Preprints Co-Authors: 18 Co-Authors with 39 Joint Publications 341 Co-Co-Authors all top 5 Co-Authors 17 single-authored 15 Dedecker, Jérôme 15 Merlevède, Florence 7 Cohen, Guy 6 Lin, Michael 4 Peligrad, Magda 4 Weber, Michel Jean Georges 2 Eisner, Tanja 2 Volný, Dalibor 1 Arnold, Loris 1 Chazottes, Jean-René 1 Derriennic, Yves 1 Fan, Ai Hua 1 Fan, Xiequan 1 Farkas, Bálint 1 Jan, Christophe 1 Lemler, Sarah 1 Parreau, François 1 Retzlaff, Todd all top 5 Serials 5 Ergodic Theory and Dynamical Systems 4 The Annals of Probability 3 Journal of Mathematical Analysis and Applications 3 Studia Mathematica 3 Colloquium Mathematicum 3 Journal of Theoretical Probability 3 Stochastic Processes and their Applications 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Stochastics and Dynamics 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Illinois Journal of Mathematics 1 Journal of Multivariate Analysis 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Journal of Mathematical Sciences (New York) 1 Bernoulli 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Pure and Applied Functional Analysis all top 5 Fields 36 Probability theory and stochastic processes (60-XX) 21 Dynamical systems and ergodic theory (37-XX) 15 Operator theory (47-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 5 Measure and integration (28-XX) 4 Topological groups, Lie groups (22-XX) 2 Abstract harmonic analysis (43-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 27 Fields 103 Probability theory and stochastic processes (60-XX) 63 Dynamical systems and ergodic theory (37-XX) 32 Operator theory (47-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Functional analysis (46-XX) 8 Measure and integration (28-XX) 7 Number theory (11-XX) 5 Abstract harmonic analysis (43-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year