Published and accepted papers
(With Y. Kifer) A nonconventional local limit theorem, J. Theor. Probab. 29 (2016), 1524-1553.
(With Y, KIfer) Berry-Esseen type estimates for nonconventional sums, Stoch. Proc. Appl. 126 (2016), 2430-2464.
(With Y. Kifer) Nonconventional polynomial CLT, Stochastics, 89 (2017), 550-591.
Stein's method for nonconventional sums, Electron. Commun. Probab., Volume 23 (2018), paper no. 38, 14 pages.
(Book, with Y. Kifer) Nonconventional limit theorems and random dynamics, World Scientific, Singapore, 2018, 299 pages. Link
Nonconventional moderate deviations theorems and exponential concentration inequalities, Ann. Inst. H. Poincaré Probab. Statist., Vol. 56, No. 1, 428–448 (2020).
Limit theorems for some skew products with mixing base maps, ETDS, Volume 41 , Issue 1 , January 2021 , pp. 241 - 271.
On the asymptotic moments and Edgeworth expansions for some processes in random dynamical environment, J. Stat. Phys. 179 (2020), 945–971.
Limit theorems for some time dependent dynamical systems, Nonlinearity 33, 6421 (2020).
A functional CLT for nonconventional polynomial arrays, Discrete Contin. Dyn. Syst. 40 (2020), 2827-2873.
(With D. Dragičević) Limit theorems for random expanding or Anosov dynamical systems and vector-valued observables, Ann. Henri Poincaré 21 (2020), 3869--3917 .
(With D. Dragičević) Almost sure invariance principle for random distance expanding maps with a nonuniform decay of correlations, Thermodynamic Formalism, CIRM Jean-Morlet Chair Subseries, Springer-Verlag (2021, edited by M. Pollicott and S. Vaienti), https://doi.org/10.1007/978-3-030-74863-0_5, 27 pages
On Eagleson's theorem in the non-stationary setup, B. Lond. Math. Soc., Vol. 53, Issue 4, 2021, https://doi.org/10.1112/blms.12477.
A local limit theorem for number of multiple recurrences generated by some mixing processes with applications to Young towers, to appear in Journal d'Analyse Mathématique, https://doi.org/10.1007/s11854-022-0237-0 (72 pages).
(with D. Dragičević) Almost sure invariance principle for random dynamical systems via Gouëzel 's approach, Nonlinearity 34 6337, arXiv 1912.12332, 29 pages.
Limit theorems for random non-uniformly expanding or hyperbolic maps with exponential tails, to appear in Ann. Henri Poincaré, https://doi.org/10.1007/s00023-021-01094-5 (40 pages).
(With D. Dolgopyat) Edgeworth expansions for independent bounded integer valued random variables, to appear in Stoch. Proc. Appl. https://doi.org/10.1016/j.spa.2022.07.001 (47 pages).
An almost sure invariance principle for some classes of non-stationary mixing sequences, arXiv:2005.02915, 12 pages, accepted to Stat. Prob. Lett.
(with D. Dolgopyat) A Berry-Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains, Probability Theory and Related Fields, 186, 439–476, 2023 (38 pages), Link
(with D. Dragičević and J. Sedro) A vector-valued almost sure invariance principle for random expanding on average cocycles, https://arxiv.org/abs/2108.08714, 41 pages (accepted to J. Stat. Phys).
Large deviations, moment estimates and almost sure invariance principles for skew products with mixing base maps and expanding on the average fiber maps, ETDS, https://doi.org/10.1017/etds.2023.23 (41 pages).
Convergence rates in the functional CLT for alpha-mixing triangular arrays, Stoc. Proc. Appl https://doi.org/10.1016/j.spa.2023.04.008 (49 pages).
Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates, accepted to Adv. Math, https://doi.org/10.1016/j.aim.2023.109109 (86 pages). See https://arxiv.org/abs/2208.00518 for a correction of a few misprints.
Preprints
A vector valued almost sure invariance principle for time dependent non-uniformly expanding dynamical systems, arXiv 1910.12792, 21 pages.
On the functional CLT for slowly mixing triangular arrays, https://arxiv.org/abs/2111.05807, 13 pages.
(with D. Dolgopyat) Edgeworth expansions for integer valued additive functionals of uniformly elliptic Markov chains, https://arxiv.org/abs/2203.15907, 30 pages.
Non-uniform Berry-Esseen theorems and Edgeworth expansions for weakly dependent random variables, preprint, arXiv:2210.07204 (59 pages).
Effective (moderate) random RPF theorems and applications to limit theorems for non-uniformly expanding RDS, http://arxiv.org/abs/2311.12950 (73 pages)
(with D. Dragičević) Iterated invariance principle for random dynamical systems, https://arxiv.org/abs/2312.04550 (35 pages)
(With D. Dolgopyat) Rates of convergence in CLT and ASIP for sequences of expanding maps https://arxiv.org/abs/2401.08802 (40 pages)
(with D. Dragičević) Effective quenched linear response for random dynamical systems, https://arxiv.org/abs/2403.04907 (54 pages)
(with D. Dolgopyat) Local limit theorems for expanding maps, http://arxiv.org/abs/2407.08690 (64 pages).
Old versions
A sequential RPF theorem and its applications to limit theorems for time dependent dynamical systems and inhomogeneous Markov chains, preprint, arXiv 1903.04018, 49 pages [this paper was partially absorbed in https://doi.org/10.1007/s00023-020-00965-7 ].
Complex projective metrics on Young towers, countable shifts and other countable expanding maps, preprint, arXiv 1905.01622, 26 pages [this paper was partially incorporated in arXiv 2003.08528 and arXiv 2008.06024].