Théorèmes limites de la théorie des probabilités dans les systèmes dynamiques

• "Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields", Modern Stochastics: Theory and Applications, 6 (2019), no. 2, 251–267.
• "Invariance principle via orthomartingale approximation" Stochastics and Dynamics, 18 (2018), no. 6, 1850043.
• "Weak invariance principle in Besov spaces for stationary martingale differences" (with Alfredas Račkauskas) Lithuanian Math. J., 57 (2017), no. 4, 441–467.
• "Hölderian weak invariance principle under Maxwell and Woodroofe condition", Brazilian J. Probab. Statist. 32 (2018), no. 1, 172–187.
• "Holderian weak invariance principle for stationary mixing sequences" J. Theoret. Probab., 30 (2017), no. 1, 196--211.
• "Integrability conditions on coboundary and transfer function for limit theorems ALEA, Lat. Am. J. Probab. Math. Stat., 13(1) (2016), 399–415.
• "Holderian weak invariance principle under a Hannan type condition", Stochastic Process. Appl., 126 (2016), 290-311.
• "Orthomartingale-coboundary decomposition for stationary random fields" (with Mohamed El Machkouri) Stochastics and Dynamics, 16 (2016), no. 5, 1650017.
• "An improvement of the mixing rates in a counter-example to the weak invariance principle", Comptes Rendus de l'Académie des Sciences, 353 (2015), 953-958.
• "A strictly stationary $\beta$-mixing process satisfying the central limit theorem but not the weak invariance principle" (with Dalibor Volny), Stochastic Process. Appl., 124 (2014), 3769-3781.
• "A counter example to the central limit theorem in Hilbert spaces under a strong mixing condition" (with Dalibor Volny), Electronic Communications in Probability 19 (2014).

• Ruhr-Universität Bochum