{"id":19,"date":"2012-09-05T11:22:25","date_gmt":"2012-09-05T15:22:25","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/template\/?page_id=19"},"modified":"2026-03-19T09:07:00","modified_gmt":"2026-03-19T13:07:00","slug":"publications","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/yeor-hafuta\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h2 class=\"wp-block-heading\"><strong>Published and accepted papers<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">(With Y. Kifer) A nonconventional local limit theorem, J. Theor. Probab. 29 (2016), 1524-1553.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">(With Y, KIfer) Berry-Esseen type estimates for nonconventional sums, Stoch. Proc. Appl. 126 (2016), 2430-2464.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">(With Y. Kifer) Nonconventional polynomial CLT, Stochastics, 89 (2017), 550-591.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">Stein&#8217;s method for nonconventional sums, Electron. Commun. Probab., Volume 23 (2018), paper no. 38, 14 pages.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">(Book, with Y. Kifer) Nonconventional limit theorems and random dynamics, World Scientific, Singapore, 2018, 299 pages. <a href=\"https:\/\/drive.google.com\/file\/d\/1--DsawA9RkDb0uTwm_-g_V1utbeWq33q\/view?usp=sharing\">Link<\/a><\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">Nonconventional moderate deviations theorems and exponential concentration inequalities,\u00a0 Ann. Inst. H. Poincar\u00e9 Probab. Statist., Vol. 56, No. 1, 428\u2013448 (2020).<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">Limit theorems for some skew products with mixing base maps, ETDS,\u00a0 <a href=\"https:\/\/www.cambridge.org\/core\/journals\/ergodic-theory-and-dynamical-systems\/volume\/3646A12781C950E930E801F07D4C3E11\">Volume 41<\/a> , <a href=\"https:\/\/www.cambridge.org\/core\/journals\/ergodic-theory-and-dynamical-systems\/issue\/4348400E2DE76686A004EB84A9B3D8EC\">Issue 1<\/a> , January 2021 , pp. 241 &#8211; 271.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">On the asymptotic moments and Edgeworth expansions for some processes in random dynamical environment,\u00a0 J. Stat. Phys. 179 (2020), 945\u2013971.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">Limit theorems for some time dependent dynamical systems,\u00a0 Nonlinearity 33, 6421\u00a0 (2020).<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">A functional CLT for nonconventional polynomial arrays,\u00a0 Discrete Contin. Dyn. Syst. 40 (2020),\u00a0 2827-2873.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">(With D. Dragi\u010devi\u0107) Limit theorems for random expanding or Anosov dynamical systems and vector-valued observables, Ann. Henri Poincar\u00e9 21 (2020), 3869&#8211;3917 .<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">(With D. Dragi\u010devi\u0107) 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), <a href=\"https:\/\/doi.org\/10.1007\/978-3-030-74863-0_5\">https:\/\/doi.org\/10.1007\/978-3-030-74863-0_5<\/a>, 27 pages<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">On Eagleson&#8217;s theorem in the non-stationary setup, B. Lond. Math. Soc., Vol. 53, Issue 4, 2021, \u00a0<a href=\"https:\/\/doi.org\/10.1112\/blms.12477\">https:\/\/doi.org\/10.1112\/blms.12477<\/a>.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">A local limit theorem for number of multiple recurrences generated by some mixing processes with applications to Young towers, to appear in Journal d&#8217;Analyse Math\u00e9matique, <a href=\"https:\/\/doi.org\/10.1007\/s11854-022-0237-0\">https:\/\/doi.org\/10.1007\/s11854-022-0237-0<\/a>\u00a0 (72 pages).<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">(with \u00a0D. Dragi\u010devi\u0107) Almost sure invariance principle for random dynamical systems via Gou\u00ebzel &#8216;s approach, Nonlinearity 34 6337,\u00a0 arXiv 1912.12332, 29 pages.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">Limit theorems for random non-uniformly expanding or hyperbolic maps with exponential tails,\u00a0 to appear in Ann. Henri Poincar\u00e9,\u00a0 <a href=\"https:\/\/doi.org\/10.1007\/s00023-021-01094-5\">https:\/\/doi.org\/10.1007\/s00023-021-01094-5<\/a> (40 pages).<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">(With D. Dolgopyat)\u00a0 Edgeworth expansions for independent bounded integer valued random variables, to appear in Stoch. Proc. Appl. <a href=\"https:\/\/doi.org\/10.1016\/j.spa.2022.07.001\">https:\/\/doi.org\/10.1016\/j.spa.2022.07.001<\/a> (47 pages).<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">An almost sure invariance principle for some classes of non-stationary mixing sequences, arXiv:2005.02915, 12 pages, accepted to Stat. Prob. Lett.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">(with D. Dolgopyat) A Berry-Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains, Probability Theory and Related Fields, 186, 439\u2013476, 2023 (38 pages), <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00440-022-01177-2\">Link<\/a><\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">(with D. Dragi\u010devi\u0107 and J. Sedro) A vector-valued almost sure invariance principle for random expanding on average cocycles, <a href=\"https:\/\/arxiv.org\/abs\/2108.08714\">https:\/\/arxiv.org\/abs\/2108.08714<\/a>, 41 pages (accepted to J. Stat. Phys).<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">Large deviations, moment estimates and almost sure invariance principles for skew products with mixing base maps and expanding on the average fiber maps, ETDS, \u00a0<a href=\"https:\/\/doi.org\/10.1017\/etds.2023.23\">https:\/\/doi.org\/10.1017\/etds.2023.23<\/a>\u00a0 (41 pages).<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">Convergence rates in the functional CLT for alpha-mixing triangular arrays, Stoc. Proc. Appl <a href=\"https:\/\/doi.org\/10.1016\/j.spa.2023.04.008\">https:\/\/doi.org\/10.1016\/j.spa.2023.04.008<\/a> (49 pages).<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\"><span style=\"font-size: 1rem;\">Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates, accepted to Adv. Math, <\/span><a style=\"font-size: 1rem;\" href=\"https:\/\/doi.org\/10.1016\/j.aim.2023.109109\">https:\/\/doi.org\/10.1016\/j.aim.2023.109109<\/a><span style=\"font-size: 1rem;\">\u00a0 (86 pages). See <\/span><a style=\"font-size: 1rem;\" href=\"https:\/\/arxiv.org\/abs\/2208.00518\">https:\/\/arxiv.org\/abs\/2208.00518<\/a><span style=\"font-size: 1rem;\"> for a correction of a few misprints.<\/span><\/p>\n<\/li>\n<li><span class=\"C9DxTc \">(With D. Dolgopyat) Rates of convergence in CLT and ASIP for sequences of expanding maps\u00a0<\/span><a class=\"XqQF9c\" href=\"https:\/\/arxiv.org\/abs\/2401.08802\" target=\"_blank\" rel=\"noopener\"><span class=\"C9DxTc aw5Odc \">https:\/\/arxiv.org\/abs\/2401.08802<\/span><\/a><span class=\"C9DxTc \"> (40 pages), accepted to PTRF\u00a0<\/span><\/li>\n<li><span class=\"C9DxTc \">(<\/span><span class=\"C9DxTc \">with\u00a0<\/span><span class=\"C9DxTc \">D. Dragi\u010devi\u0107<\/span><span class=\"C9DxTc \">) Iterated invariance principle for random dynamical systems,\u00a0<\/span><a class=\"XqQF9c\" href=\"https:\/\/arxiv.org\/abs\/2312.04550\" target=\"_blank\" rel=\"noopener\"><span class=\"C9DxTc aw5Odc \">https:\/\/arxiv.org\/abs\/2312.04550<\/span><\/a><span class=\"C9DxTc \"> (35 pages),\u00a0 accepted to Nonlinearity<\/span><\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Preperints<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">A vector valued almost sure invariance principle for time dependent non-uniformly expanding dynamical systems, arXiv 1910.12792, 21 pages.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">On the functional CLT for slowly mixing triangular arrays, <a href=\"https:\/\/arxiv.org\/abs\/2111.05807\">https:\/\/arxiv.org\/abs\/2111.05807<\/a>, 13 pages.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">(with D. Dolgopyat) Edgeworth expansions for integer valued additive functionals of uniformly elliptic Markov chains, <a href=\"https:\/\/arxiv.org\/abs\/2203.15907\">https:\/\/arxiv.org\/abs\/2203.15907<\/a>, 30 pages.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\"><span style=\"font-size: 1rem;\">Non-uniform Berry-Esseen theorems and Edgeworth expansions for weakly dependent random variables, <\/span><a style=\"font-size: 1rem;\" href=\"https:\/\/drive.google.com\/file\/d\/1nfJETGqK5KRKZv9osZgbfSpb_fpCQ4Y8\/view?usp=sharing\">preprint<\/a><span style=\"font-size: 1rem;\">, arXiv:2210.07204 (59 pages).<\/span><\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">Spectral methods for limit theorems for random expanding transformations, <a href=\"http:\/\/arxiv.org\/abs\/2311.12950\">http:\/\/arxiv.org\/abs\/2311.12950<\/a> (41 pages).<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">(with D. Dragi\u010devi\u0107) Effective quenched linear response for random dynamical systems, https:\/\/arxiv.org\/abs\/2403.04907 (54 pages).<\/p>\n<\/li>\n<li><span class=\"C9DxTc \">(with D. Dolgopyat)\u00a0<\/span><span class=\"C9DxTc \">Local limit theorems for expanding maps, https:\/\/arxiv.org\/abs\/2407.08690 (64 pages)\u00a0<\/span><\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Old versions<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">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 ].<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">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].<\/p>\n<\/li><\/ul>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1355,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-19","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/yeor-hafuta\/wp-json\/wp\/v2\/pages\/19","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/yeor-hafuta\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/yeor-hafuta\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/yeor-hafuta\/wp-json\/wp\/v2\/users\/1355"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/yeor-hafuta\/wp-json\/wp\/v2\/comments?post=19"}],"version-history":[{"count":11,"href":"https:\/\/people.clas.ufl.edu\/yeor-hafuta\/wp-json\/wp\/v2\/pages\/19\/revisions"}],"predecessor-version":[{"id":229,"href":"https:\/\/people.clas.ufl.edu\/yeor-hafuta\/wp-json\/wp\/v2\/pages\/19\/revisions\/229"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/yeor-hafuta\/wp-json\/wp\/v2\/media?parent=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}