Mariano, Phanuel; Panzo, Hugo CLT with explicit variance for products of random singular matrices related to Hill’s equation. (English) Zbl 07535856 Random Matrices Theory Appl. 11, No. 2, Article ID 2250018, 20 p. (2022). MSC: 37H15 60B20 60F05 PDF BibTeX XML Cite \textit{P. Mariano} and \textit{H. Panzo}, Random Matrices Theory Appl. 11, No. 2, Article ID 2250018, 20 p. (2022; Zbl 07535856) Full Text: DOI OpenURL
Bedrossian, Jacob; Blumenthal, Alex; Punshon-Smith, Samuel Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations. (English) Zbl 07496861 Ann. Probab. 50, No. 1, 241-303 (2022). MSC: 37A25 37A30 37N10 76F25 76D06 37H15 37A60 60H15 PDF BibTeX XML Cite \textit{J. Bedrossian} et al., Ann. Probab. 50, No. 1, 241--303 (2022; Zbl 07496861) Full Text: DOI OpenURL
Tao, Kai Strong Birkhoff ergodic theorem for subharmonic functions with irrational shift and its application to analytic quasi-periodic cocycles. (English) Zbl 07475517 Discrete Contin. Dyn. Syst. 42, No. 3, 1495-1533 (2022). MSC: 37A30 37C55 37C40 37H15 31A05 PDF BibTeX XML Cite \textit{K. Tao}, Discrete Contin. Dyn. Syst. 42, No. 3, 1495--1533 (2022; Zbl 07475517) Full Text: DOI arXiv OpenURL
Lipatov, M. E. The asymptotic behaviour of cocycles over flows. (English. Russian original) Zbl 07542548 Trans. Mosc. Math. Soc. 2021, 149-156 (2021); translation from Tr. Mosk. Mat. O.-va 82, No. 1, 175-184 (2021). MSC: 37A10 37A30 PDF BibTeX XML Cite \textit{M. E. Lipatov}, Trans. Mosc. Math. Soc. 2021, 149--156 (2021; Zbl 07542548); translation from Tr. Mosk. Mat. O.-va 82, No. 1, 175--184 (2021) Full Text: DOI OpenURL
Frantzikinakis, Nikos; Host, Bernard Furstenberg systems of bounded multiplicative functions and applications. (English) Zbl 1483.37006 Int. Math. Res. Not. 2021, No. 8, 6077-6107 (2021). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37A44 37A05 37A30 11N37 PDF BibTeX XML Cite \textit{N. Frantzikinakis} and \textit{B. Host}, Int. Math. Res. Not. 2021, No. 8, 6077--6107 (2021; Zbl 1483.37006) Full Text: DOI arXiv OpenURL
Larsen, Anne; Norton, Chaya; Zykoski, Bradley Strongly obtuse rational lattice triangles. (English) Zbl 1485.37033 Trans. Am. Math. Soc. 374, No. 10, 7119-7142 (2021). Reviewer: Thomas B. Ward (Newcastle) MSC: 37D40 37C83 37A30 37A44 11N25 52A10 PDF BibTeX XML Cite \textit{A. Larsen} et al., Trans. Am. Math. Soc. 374, No. 10, 7119--7142 (2021; Zbl 1485.37033) Full Text: DOI arXiv OpenURL
Noethen, Florian Computing covariant Lyapunov vectors in Hilbert spaces. (English) Zbl 1479.37055 J. Comput. Dyn. 8, No. 3, 325-352 (2021). MSC: 37H15 37A30 37A20 37M25 PDF BibTeX XML Cite \textit{F. Noethen}, J. Comput. Dyn. 8, No. 3, 325--352 (2021; Zbl 1479.37055) Full Text: DOI arXiv OpenURL
Forni, Giovanni Limits of geodesic push-forwards of horocycle invariant measures. (English) Zbl 07381095 Ergodic Theory Dyn. Syst. 41, No. 9, 2782-2804 (2021). Reviewer: El Houcein El Abdalaoui (Saint Etienne du Rouvray) MSC: 37A30 37H15 37D40 30F60 22F30 57M60 PDF BibTeX XML Cite \textit{G. Forni}, Ergodic Theory Dyn. Syst. 41, No. 9, 2782--2804 (2021; Zbl 07381095) Full Text: DOI arXiv OpenURL
Nguyên, Viêt-Anh Ergodic theorems for laminations and foliations: recent results and perspectives. (English) Zbl 1469.37004 Acta Math. Vietnam. 46, No. 1, 9-101 (2021). Reviewer: David B. Gauld (Auckland) MSC: 37A30 37A46 57R30 58J35 58J65 60J65 32J25 PDF BibTeX XML Cite \textit{V.-A. Nguyên}, Acta Math. Vietnam. 46, No. 1, 9--101 (2021; Zbl 1469.37004) Full Text: DOI arXiv OpenURL
Horan, Joseph Asymptotics for the second-largest Lyapunov exponent for some Perron-Frobenius operator cocycles. (English) Zbl 1466.37045 Nonlinearity 34, No. 4, 2563-2610 (2021). MSC: 37H15 37A30 PDF BibTeX XML Cite \textit{J. Horan}, Nonlinearity 34, No. 4, 2563--2610 (2021; Zbl 1466.37045) Full Text: DOI arXiv OpenURL
Ban, Jung-Chao; Hu, Wen-Guei; Lai, Guan-Yu On the entropy of multidimensional multiplicative integer subshifts. (English) Zbl 1464.37018 J. Stat. Phys. 182, No. 2, Paper No. 31, 21 p. (2021). Reviewer: Hasan Akin (Gaziantep) MSC: 37B10 37B51 37B40 37A30 PDF BibTeX XML Cite \textit{J.-C. Ban} et al., J. Stat. Phys. 182, No. 2, Paper No. 31, 21 p. (2021; Zbl 1464.37018) Full Text: DOI OpenURL
Aoun, Richard The central limit theorem for eigenvalues. (English) Zbl 1459.60010 Proc. Am. Math. Soc. 149, No. 2, 859-873 (2021). Reviewer: Fraser Daly (Edinburgh) MSC: 60B20 60B12 60F05 37H15 20P05 PDF BibTeX XML Cite \textit{R. Aoun}, Proc. Am. Math. Soc. 149, No. 2, 859--873 (2021; Zbl 1459.60010) Full Text: DOI arXiv OpenURL
Aaronson, Jon; Terhesiu, Dalia Local limit theorems for suspended semiflows. (English) Zbl 1456.37037 Discrete Contin. Dyn. Syst. 40, No. 12, 6575-6609 (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 37D40 37A40 37A30 37H15 37C30 PDF BibTeX XML Cite \textit{J. Aaronson} and \textit{D. Terhesiu}, Discrete Contin. Dyn. Syst. 40, No. 12, 6575--6609 (2020; Zbl 1456.37037) Full Text: DOI arXiv OpenURL
Aoun, Richard; Guivarc’h, Yves Random matrix products when the top Lyapunov exponent is simple. (English) Zbl 1447.37012 J. Eur. Math. Soc. (JEMS) 22, No. 7, 2135-2182 (2020). Reviewer: George Stoica (Saint John) MSC: 37A50 37H15 60B15 60G50 60F17 20P05 15B52 PDF BibTeX XML Cite \textit{R. Aoun} and \textit{Y. Guivarc'h}, J. Eur. Math. Soc. (JEMS) 22, No. 7, 2135--2182 (2020; Zbl 1447.37012) Full Text: DOI arXiv OpenURL
Gouëzel, Sébastien; Karlsson, Anders Subadditive and multiplicative ergodic theorems. (English) Zbl 1440.37006 J. Eur. Math. Soc. (JEMS) 22, No. 6, 1893-1915 (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 37A30 37H15 47A35 PDF BibTeX XML Cite \textit{S. Gouëzel} and \textit{A. Karlsson}, J. Eur. Math. Soc. (JEMS) 22, No. 6, 1893--1915 (2020; Zbl 1440.37006) Full Text: DOI arXiv OpenURL
Mierczyński, Janusz; Novo, Sylvia; Obaya, Rafael Lyapunov exponents and Oseledets decomposition in random dynamical systems generated by systems of delay differential equations. (English) Zbl 1441.37060 Commun. Pure Appl. Anal. 19, No. 4, 2235-2255 (2020). MSC: 37H15 37L55 34K06 37A30 60H25 PDF BibTeX XML Cite \textit{J. Mierczyński} et al., Commun. Pure Appl. Anal. 19, No. 4, 2235--2255 (2020; Zbl 1441.37060) Full Text: DOI arXiv OpenURL
Ferraiol, Thiago F.; San Martin, Luiz A. B. Differentiability of Lyapunov exponents. (English) Zbl 1440.37005 J. Dyn. Control Syst. 26, No. 2, 289-310 (2020). MSC: 37A20 37H15 37A30 22E46 37B55 PDF BibTeX XML Cite \textit{T. F. Ferraiol} and \textit{L. A. B. San Martin}, J. Dyn. Control Syst. 26, No. 2, 289--310 (2020; Zbl 1440.37005) Full Text: DOI arXiv OpenURL
Bergelson, Vitaly; Kułaga-Przymus, Joanna; Lemańczyk, Mariusz; Richter, Florian K. A structure theorem for level sets of multiplicative functions and applications. (English) Zbl 1447.37009 Int. Math. Res. Not. 2020, No. 5, 1300-1345 (2020). Reviewer: El Houcein El Abdalaoui (Saint Etienne du Rouvray) MSC: 37A44 37A30 37B10 11A25 37B20 PDF BibTeX XML Cite \textit{V. Bergelson} et al., Int. Math. Res. Not. 2020, No. 5, 1300--1345 (2020; Zbl 1447.37009) Full Text: DOI arXiv OpenURL
Martirosyan, D.; Nersesyan, V. Multiplicative ergodic theorem for a non-irreducible random dynamical system. (English) Zbl 1436.37007 J. Differ. Equations 268, No. 7, 3564-3598 (2020). Reviewer: Cheng He (Beijing) MSC: 37A30 37H15 60B12 60F10 60J35 47D08 PDF BibTeX XML Cite \textit{D. Martirosyan} and \textit{V. Nersesyan}, J. Differ. Equations 268, No. 7, 3564--3598 (2020; Zbl 1436.37007) Full Text: DOI arXiv OpenURL
Jurga, Natalia; Morris, Ian Effective estimates on the top Lyapunov exponents for random matrix products. (English) Zbl 1431.37048 Nonlinearity 32, No. 11, 4117-4146 (2019). Reviewer: Armand Azonnahin (São Paulo) MSC: 37H15 37A30 37D35 15B52 37C30 PDF BibTeX XML Cite \textit{N. Jurga} and \textit{I. Morris}, Nonlinearity 32, No. 11, 4117--4146 (2019; Zbl 1431.37048) Full Text: DOI arXiv OpenURL
Nersesyan, Vahagn Large deviations for the Navier-Stokes equations driven by a white-in-time noise. (Grandes déviations pour les équations de Navier-Stokes perturbées par un bruit blanc en temps.) (English) Zbl 1428.35306 Ann. Henri Lebesgue 2, 481-513 (2019). MSC: 35Q30 60B12 60F10 37H15 76D05 PDF BibTeX XML Cite \textit{V. Nersesyan}, Ann. Henri Lebesgue 2, 481--513 (2019; Zbl 1428.35306) Full Text: DOI OpenURL
Duarte, Pedro; Klein, Silvius Continuity, positivity and simplicity of the Lyapunov exponents for quasi-periodic cocycles. (English) Zbl 1427.37042 J. Eur. Math. Soc. (JEMS) 21, No. 7, 2051-2106 (2019). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37H15 37A20 37D25 37A05 37A50 37A30 PDF BibTeX XML Cite \textit{P. Duarte} and \textit{S. Klein}, J. Eur. Math. Soc. (JEMS) 21, No. 7, 2051--2106 (2019; Zbl 1427.37042) Full Text: DOI arXiv OpenURL
Blumenthal, Alex; Morris, Ian D. Characterization of dominated splittings for operator cocycles acting on Banach spaces. (English) Zbl 1415.37075 J. Differ. Equations 267, No. 7, 3977-4013 (2019). MSC: 37H15 37D30 46B20 37H05 37A30 PDF BibTeX XML Cite \textit{A. Blumenthal} and \textit{I. D. Morris}, J. Differ. Equations 267, No. 7, 3977--4013 (2019; Zbl 1415.37075) Full Text: DOI arXiv OpenURL
Baake, Michael; Frank, Natalie Priebe; Grimm, Uwe; Robinson, E. Arthur jun. Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction. (English) Zbl 1419.37017 Stud. Math. 247, No. 2, 109-154 (2019). MSC: 37B50 37A30 42A38 37H15 52C23 PDF BibTeX XML Cite \textit{M. Baake} et al., Stud. Math. 247, No. 2, 109--154 (2019; Zbl 1419.37017) Full Text: DOI arXiv Link OpenURL
Fu, Linlin; Xu, Jiahao A new proof of continuity of Lyapunov exponents for a class of \( C^2 \) quasiperiodic Schrödinger cocycles without LDT. (English) Zbl 1408.37014 Discrete Contin. Dyn. Syst. 39, No. 5, 2915-2931 (2019). MSC: 37A30 37H05 37H15 PDF BibTeX XML Cite \textit{L. Fu} and \textit{J. Xu}, Discrete Contin. Dyn. Syst. 39, No. 5, 2915--2931 (2019; Zbl 1408.37014) Full Text: DOI OpenURL
Blumenthal, Alex; Young, Lai-Sang Equivalence of physical and SRB measures in random dynamical systems. (English) Zbl 1423.37023 Nonlinearity 32, No. 4, 1494-1524 (2019). Reviewer: Pengfei Zhang (Norman) MSC: 37C40 37D35 37A30 37H10 37H15 PDF BibTeX XML Cite \textit{A. Blumenthal} and \textit{L.-S. Young}, Nonlinearity 32, No. 4, 1494--1524 (2019; Zbl 1423.37023) Full Text: DOI arXiv OpenURL
Suzuki, Shintaro Invariant density functions of random \(\beta\)-transformations. (English) Zbl 1432.37008 Ergodic Theory Dyn. Syst. 39, No. 4, 1099-1120 (2019). Reviewer: Liang-Chung Hsia (Taipei) MSC: 37A30 37H15 37A44 PDF BibTeX XML Cite \textit{S. Suzuki}, Ergodic Theory Dyn. Syst. 39, No. 4, 1099--1120 (2019; Zbl 1432.37008) Full Text: DOI OpenURL
Gouëzel, Sébastien Subadditive cocycles and horofunctions. (English) Zbl 1451.37078 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 1933-1947 (2018). MSC: 37H15 37A30 PDF BibTeX XML Cite \textit{S. Gouëzel}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 1933--1947 (2018; Zbl 1451.37078) Full Text: DOI Link OpenURL
Bochi, Jairo Ergodic optimization of Birkhoff averages and Lyapunov exponents. (English) Zbl 1448.37059 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 1825-1846 (2018). MSC: 37H15 37A30 PDF BibTeX XML Cite \textit{J. Bochi}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 1825--1846 (2018; Zbl 1448.37059) Full Text: DOI arXiv OpenURL
González-Tokman, Cecilia Multiplicative ergodic theorems for transfer operators: towards the identification and analysis of coherent structures in non-autonomous dynamical systems. (English) Zbl 1423.37050 Galaz-García, Fernando (ed.) et al., Contributions of Mexican mathematicians abroad in pure and applied mathematics. Second meeting “Matemáticos Mexicanos en el Mundo”, Centro de Investigación en Matemáticas, Guanajuato, Mexico, December 15–19, 2014. Providence, RI: American Mathematical Society (AMS); México: Sociedad Matemática Mexicana. Contemp. Math. 709, 31-52 (2018). MSC: 37H15 37A30 37C30 PDF BibTeX XML Cite \textit{C. González-Tokman}, Contemp. Math. 709, 31--52 (2018; Zbl 1423.37050) Full Text: DOI Link OpenURL
Champagnat, Nicolas; Villemonais, Denis Uniform convergence of penalized time-inhomogeneous Markov processes. (English) Zbl 1405.60004 ESAIM, Probab. Stat. 22, 129-162 (2018). MSC: 60B10 60F99 60J57 37A25 PDF BibTeX XML Cite \textit{N. Champagnat} and \textit{D. Villemonais}, ESAIM, Probab. Stat. 22, 129--162 (2018; Zbl 1405.60004) Full Text: DOI arXiv OpenURL
Bergelson, Vitaly; Glasscock, Daniel Multiplicative richness of additively large sets in \(\mathbb{Z}^d\). (English) Zbl 1404.05209 J. Algebra 503, 67-103 (2018). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 05D10 12E15 28D99 PDF BibTeX XML Cite \textit{V. Bergelson} and \textit{D. Glasscock}, J. Algebra 503, 67--103 (2018; Zbl 1404.05209) Full Text: DOI arXiv OpenURL
Bose, Christopher; Horan, Joseph; Quas, Anthony On irreducibility of oseledets subspaces. (English) Zbl 1393.37066 Dyn. Syst. 33, No. 2, 332-347 (2018). MSC: 37H15 37A30 PDF BibTeX XML Cite \textit{C. Bose} et al., Dyn. Syst. 33, No. 2, 332--347 (2018; Zbl 1393.37066) Full Text: DOI arXiv OpenURL
Gouëzel, Sébastien Subadditive cocycles and horofunctions. (Cocycles sous-additifs et horofonctions.) (French. English summary) Zbl 1405.37058 Lecouvey, Cédric (ed.), Actes du 1er congrès national de la SMF – Tours, France, 2016. Paris: Société Mathématique de France (ISBN 978-2-85629-866-4/pbk). Séminaires et Congrès 31, 17-35 (2017). MSC: 37H15 37A30 PDF BibTeX XML Cite \textit{S. Gouëzel}, Sémin. Congr. 31, 17--35 (2017; Zbl 1405.37058) OpenURL
Cantrell, Michael; Furman, Alex Asymptotic shapes for ergodic families of metrics on nilpotent groups. (English) Zbl 1454.37008 Groups Geom. Dyn. 11, No. 4, 1307-1345 (2017). MSC: 37A17 60K35 37A30 37H15 82B43 53C17 PDF BibTeX XML Cite \textit{M. Cantrell} and \textit{A. Furman}, Groups Geom. Dyn. 11, No. 4, 1307--1345 (2017; Zbl 1454.37008) Full Text: DOI arXiv OpenURL
Avdeeva, M.; Cellarosi, F.; Sinai, Ya. G. Ergodic and statistical properties of \(\mathcal B\)-free numbers. (English. Russian original) Zbl 1378.11084 Theory Probab. Appl. 61, No. 4, 569-589 (2017); translation from Teor. Veroyatn. Primen. 61, No. 4, 805-829 (2016). MSC: 11N25 37A45 60F05 11-02 PDF BibTeX XML Cite \textit{M. Avdeeva} et al., Theory Probab. Appl. 61, No. 4, 569--589 (2017; Zbl 1378.11084); translation from Teor. Veroyatn. Primen. 61, No. 4, 805--829 (2016) Full Text: DOI OpenURL
Frantzikinakis, Nikos; Host, Bernard Multiple ergodic theorems for arithmetic sets. (English) Zbl 1386.37010 Trans. Am. Math. Soc. 369, No. 10, 7085-7105 (2017). Reviewer: Liang-Chung Hsia (Taipei) MSC: 37A45 05D10 11B30 11N37 28D05 37A30 PDF BibTeX XML Cite \textit{N. Frantzikinakis} and \textit{B. Host}, Trans. Am. Math. Soc. 369, No. 10, 7085--7105 (2017; Zbl 1386.37010) Full Text: DOI arXiv OpenURL
Gallavotti, Giovanni Random matrices and Lyapunov coefficients regularity. (English) Zbl 1364.37118 J. Stat. Phys. 166, No. 3-4, 558-574 (2017). MSC: 37H15 37D35 37A30 15B52 82B28 37H10 PDF BibTeX XML Cite \textit{G. Gallavotti}, J. Stat. Phys. 166, No. 3--4, 558--574 (2017; Zbl 1364.37118) Full Text: DOI arXiv OpenURL
Frantzikinakis, Nikos; Host, Bernard Higher-order Fourier analysis of multiplicative functions and applications. (English) Zbl 1355.11094 J. Am. Math. Soc. 30, No. 1, 67-157 (2017). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 05D10 11N60 11B30 37A45 PDF BibTeX XML Cite \textit{N. Frantzikinakis} and \textit{B. Host}, J. Am. Math. Soc. 30, No. 1, 67--157 (2017; Zbl 1355.11094) Full Text: DOI arXiv OpenURL
Nguyên, Viêt-Anh Oseledec multiplicative ergodic theorem for laminations. (English) Zbl 1373.37129 Mem. Am. Math. Soc. 1164, x, 166 p. (2016). MSC: 37H15 37C75 37A30 58J35 58J65 PDF BibTeX XML Cite \textit{V.-A. Nguyên}, Oseledec multiplicative ergodic theorem for laminations. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1373.37129) Full Text: DOI arXiv OpenURL
Cong, Nguyen Dinh; Son, Doan Thai On integral separation of bounded linear random differential equations. (English) Zbl 1366.37118 Discrete Contin. Dyn. Syst., Ser. S 9, No. 4, 995-1007 (2016). MSC: 37H10 34D08 37H15 34F05 60H25 37A30 PDF BibTeX XML Cite \textit{N. D. Cong} and \textit{D. T. Son}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 4, 995--1007 (2016; Zbl 1366.37118) Full Text: DOI OpenURL
Jäger, T.; Keller, G. Random minimality and continuity of invariant graphs in random dynamical systems. (English) Zbl 1354.37007 Trans. Am. Math. Soc. 368, No. 9, 6643-6662 (2016). MSC: 37A30 37H15 34D45 PDF BibTeX XML Cite \textit{T. Jäger} and \textit{G. Keller}, Trans. Am. Math. Soc. 368, No. 9, 6643--6662 (2016; Zbl 1354.37007) Full Text: DOI arXiv OpenURL
Meads Fisher, Albert; Talet, Marina Asymptotic self-similarity and order-two ergodic theorems for renewal flows. (English) Zbl 1361.37010 J. Anal. Math. 127, 1-45 (2015). MSC: 37A30 37A50 37H15 60G18 PDF BibTeX XML Cite \textit{A. Meads Fisher} and \textit{M. Talet}, J. Anal. Math. 127, 1--45 (2015; Zbl 1361.37010) Full Text: DOI arXiv OpenURL
González-Tokman, Cecilia; Quas, Anthony A concise proof of the multiplicative ergodic theorem on Banach spaces. (English) Zbl 1358.37020 J. Mod. Dyn. 9, 237-255 (2015). MSC: 37A30 37H15 37L55 37D30 PDF BibTeX XML Cite \textit{C. González-Tokman} and \textit{A. Quas}, J. Mod. Dyn. 9, 237--255 (2015; Zbl 1358.37020) Full Text: DOI arXiv OpenURL
González-Tokman, Cecilia; Quas, Anthony A semi-invertible operator Oseledets theorem. (English) Zbl 1317.37006 Ergodic Theory Dyn. Syst. 34, No. 4, 1230-1272 (2014). Reviewer: El Houcein El Abdalaoui (Saint Etienne du Rouvray) MSC: 37A20 37A30 37D25 37A25 PDF BibTeX XML Cite \textit{C. González-Tokman} and \textit{A. Quas}, Ergodic Theory Dyn. Syst. 34, No. 4, 1230--1272 (2014; Zbl 1317.37006) Full Text: DOI arXiv OpenURL
Dooley, Anthony H.; Golodets, Valentyn Ya.; Zhang, Guohua Sub-additive ergodic theorems for countable amenable groups. (English) Zbl 1317.37009 J. Funct. Anal. 267, No. 5, 1291-1320 (2014). Reviewer: Geoffrey R. Goodson (Towson) MSC: 37A30 28D05 22D40 PDF BibTeX XML Cite \textit{A. H. Dooley} et al., J. Funct. Anal. 267, No. 5, 1291--1320 (2014; Zbl 1317.37009) Full Text: DOI arXiv OpenURL
Froyland, Gary; Lloyd, Simon; Quas, Anthony A semi-invertible Oseledets theorem with applications to transfer operator cocycles. (English) Zbl 1405.37057 Discrete Contin. Dyn. Syst. 33, No. 9, 3835-3860 (2013). MSC: 37H15 37L55 37A30 PDF BibTeX XML Cite \textit{G. Froyland} et al., Discrete Contin. Dyn. Syst. 33, No. 9, 3835--3860 (2013; Zbl 1405.37057) Full Text: DOI arXiv OpenURL
Mierczyński, Janusz; Shen, Wenxian Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. I: General theory. (English) Zbl 1350.37061 Trans. Am. Math. Soc. 365, No. 10, 5329-5365 (2013). MSC: 37H15 37L55 37A30 34F05 PDF BibTeX XML Cite \textit{J. Mierczyński} and \textit{W. Shen}, Trans. Am. Math. Soc. 365, No. 10, 5329--5365 (2013; Zbl 1350.37061) Full Text: DOI arXiv OpenURL
Manning, Anthony; Simon, Károly Dimension of slices through the Sierpinski carpet. (English) Zbl 1273.28005 Trans. Am. Math. Soc. 365, No. 1, 213-250 (2013). Reviewer: Tony Samuel (Bremen) MSC: 28A78 28A80 37H15 37C45 37B10 37A30 PDF BibTeX XML Cite \textit{A. Manning} and \textit{K. Simon}, Trans. Am. Math. Soc. 365, No. 1, 213--250 (2013; Zbl 1273.28005) Full Text: DOI OpenURL
Cavazos-Cadena, Rolando; Hernández-Hernández, Daniel Contractive mappings and existence of cycle times for a monotone and homogeneous function. (English) Zbl 1264.47067 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 16, 6148-6159 (2012). Reviewer: In-Sook Kim (Suwon) MSC: 47H25 47H07 47H09 47H10 47J10 PDF BibTeX XML Cite \textit{R. Cavazos-Cadena} and \textit{D. Hernández-Hernández}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 16, 6148--6159 (2012; Zbl 1264.47067) Full Text: DOI OpenURL
Whiteley, Nick; Kantas, Nikolas; Jasra, Ajay Linear variance bounds for particle approximations of time-homogeneous Feynman-Kac formulae. (English) Zbl 1262.60076 Stochastic Processes Appl. 122, No. 4, 1840-1865 (2012). Reviewer: Wolfgang Freudenberg (Cottbus) MSC: 60J35 60J05 60K35 37A30 PDF BibTeX XML Cite \textit{N. Whiteley} et al., Stochastic Processes Appl. 122, No. 4, 1840--1865 (2012; Zbl 1262.60076) Full Text: DOI arXiv OpenURL
Conze, Jean-Pierre; Le Borgne, Stéphane; Roger, Mikaël Central limit theorem for stationary products of toral automorphisms. (English) Zbl 1245.60027 Discrete Contin. Dyn. Syst. 32, No. 5, 1597-1626 (2012). Reviewer: Anne Broise-Alamichel (Orsay) MSC: 60F05 37A30 60G10 37D99 PDF BibTeX XML Cite \textit{J.-P. Conze} et al., Discrete Contin. Dyn. Syst. 32, No. 5, 1597--1626 (2012; Zbl 1245.60027) Full Text: DOI OpenURL
Bekka, Bachir; Heu, Jean-Romain Random products of automorphisms of Heisenberg nilmanifolds and Weil’s representation. (English) Zbl 1236.22003 Ergodic Theory Dyn. Syst. 31, No. 5, 1277-1286 (2011). Reviewer: Jacques Franchi (Strasbourg) MSC: 22E27 37A50 37H15 37A30 60G50 PDF BibTeX XML Cite \textit{B. Bekka} and \textit{J.-R. Heu}, Ergodic Theory Dyn. Syst. 31, No. 5, 1277--1286 (2011; Zbl 1236.22003) Full Text: DOI OpenURL
van Bargen, Holger; Scheutzow, Michael; Wasserroth, Simon Exponential growth rate for derivatives of stochastic flows. (English) Zbl 1235.60073 Stoch. Dyn. 11, No. 2-3, 227-242 (2011). Reviewer: Yuri Kifer (Jerusalem) MSC: 60H10 60F15 60G17 60G60 37H15 PDF BibTeX XML Cite \textit{H. van Bargen} et al., Stoch. Dyn. 11, No. 2--3, 227--242 (2011; Zbl 1235.60073) Full Text: DOI arXiv OpenURL
Dai, Xiongping Optimal state points of the subadditive ergodic theorem. (English) Zbl 1254.37007 Nonlinearity 24, No. 5, 1565-1573 (2011). MSC: 37A30 37H15 PDF BibTeX XML Cite \textit{X. Dai}, Nonlinearity 24, No. 5, 1565--1573 (2011; Zbl 1254.37007) Full Text: DOI OpenURL
Lian, Zeng; Lu, Kening Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space. (English) Zbl 1200.37047 Mem. Am. Math. Soc. 967, v, 106 p. (2010). Reviewer: Svitlana P. Rogovchenko (Umeå) MSC: 37H15 37A30 37L55 47A35 PDF BibTeX XML Cite \textit{Z. Lian} and \textit{K. Lu}, Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space. Providence, RI: American Mathematical Society (AMS) (2010; Zbl 1200.37047) Full Text: DOI OpenURL
Coayla-Teran, Edson A.; Mohammed, Salah-Eldin A.; Ruffino, Paulo Régis C. Hartman-Grobman theorems along hyperbolic stationary trajectories. (English) Zbl 1115.93086 Discrete Contin. Dyn. Syst. 17, No. 2, 281-292 (2007). MSC: 93E03 37D40 34A34 37H15 34H05 PDF BibTeX XML Cite \textit{E. A. Coayla-Teran} et al., Discrete Contin. Dyn. Syst. 17, No. 2, 281--292 (2007; Zbl 1115.93086) Full Text: DOI OpenURL
Voutaz, Étienne Lyapunov and dynamical spectra for Banach state-spaces. (English) Zbl 1122.37025 J. Dyn. Differ. Equations 19, No. 1, 109-132 (2007). Reviewer: Anne Broise-Alamichel (Orsay) MSC: 37D30 37H15 47D06 37A30 PDF BibTeX XML Cite \textit{É. Voutaz}, J. Dyn. Differ. Equations 19, No. 1, 109--132 (2007; Zbl 1122.37025) Full Text: DOI Link OpenURL
Damanik, David; Lenz, Daniel Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials. (English) Zbl 1122.47028 J. Math. Pures Appl. (9) 85, No. 5, 671-686 (2006). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 47B36 37A30 47B39 37B10 39A70 47B80 PDF BibTeX XML Cite \textit{D. Damanik} and \textit{D. Lenz}, J. Math. Pures Appl. (9) 85, No. 5, 671--686 (2006; Zbl 1122.47028) Full Text: DOI Link OpenURL
Karlsson, Anders; Ledrappier, François On laws of large numbers for random walks. (English) Zbl 1111.60005 Ann. Probab. 34, No. 5, 1693-1706 (2006). Reviewer: Zdzisław Rychlik (Lublin) MSC: 60B15 60F99 37A30 60J50 60J65 PDF BibTeX XML Cite \textit{A. Karlsson} and \textit{F. Ledrappier}, Ann. Probab. 34, No. 5, 1693--1706 (2006; Zbl 1111.60005) Full Text: DOI arXiv OpenURL
Bousch, Thierry; Mairesse, Jean Finite-range topical functions and uniformly topical functions. (English) Zbl 1104.37015 Dyn. Syst. 21, No. 1, 73-114 (2006). Reviewer: Peter Raith (Wien) MSC: 37B99 37A05 37A30 37H15 PDF BibTeX XML Cite \textit{T. Bousch} and \textit{J. Mairesse}, Dyn. Syst. 21, No. 1, 73--114 (2006; Zbl 1104.37015) Full Text: DOI OpenURL
Baxendale, Peter H. Stochastic averaging and asymptotic behavior of the stochastic Duffing–van der Pol equation. (English) Zbl 1075.60062 Stochastic Processes Appl. 113, No. 2, 235-272 (2004). Reviewer: Stanisław Wedrychowicz (Rzeszów) MSC: 60H10 60J60 37H20 60F05 60H35 37H15 PDF BibTeX XML Cite \textit{P. H. Baxendale}, Stochastic Processes Appl. 113, No. 2, 235--272 (2004; Zbl 1075.60062) Full Text: DOI OpenURL
Dai, Xiongping Liao style numbers of differential systems. (English) Zbl 1064.37019 Commun. Contemp. Math. 6, No. 2, 279-299 (2004). Reviewer: Thomas Ward (Norwich) MSC: 37C40 37C10 37A30 PDF BibTeX XML Cite \textit{X. Dai}, Commun. Contemp. Math. 6, No. 2, 279--299 (2004; Zbl 1064.37019) Full Text: DOI OpenURL
Fan, Ai-Hua; Saussol, Benoît; Schmeling, Jörg Products of non-stationary random matrices and multiperiodic equations of several scaling factors. (English) Zbl 1061.37034 Pac. J. Math. 214, No. 1, 31-54 (2004). Reviewer: Anne Broise-Alamichel (Orsay) MSC: 37H15 34C27 37A30 37A50 PDF BibTeX XML Cite \textit{A.-H. Fan} et al., Pac. J. Math. 214, No. 1, 31--54 (2004; Zbl 1061.37034) Full Text: DOI arXiv OpenURL
Dolgopyat, Dmitry; Kaloshin, Vadim; Koralov, Leonid Sample path properties of the stochastic flows. (English) Zbl 1056.60031 Ann. Probab. 32, No. 1A, 1-27 (2004). Reviewer: Yimin Xiao (East Lansing) MSC: 60G17 37A25 37D25 37H15 60F05 60F10 76F25 PDF BibTeX XML Cite \textit{D. Dolgopyat} et al., Ann. Probab. 32, No. 1A, 1--27 (2004; Zbl 1056.60031) Full Text: DOI arXiv OpenURL
Durand, Fabien; Schneider, Dominique Ergodic averages with deterministic weights. (English) Zbl 1054.37003 Ann. Inst. Fourier 52, No. 2, 561-583 (2002). MSC: 37A25 28D05 11K55 37A45 60F15 PDF BibTeX XML Cite \textit{F. Durand} and \textit{D. Schneider}, Ann. Inst. Fourier 52, No. 2, 561--583 (2002; Zbl 1054.37003) Full Text: DOI arXiv Numdam EuDML OpenURL
Szulikowska, V. V. Limit behavior of independent random matrices’ products. (English) Zbl 1007.60012 Regul. Chaotic Dyn. 6, No. 1, 39-46 (2001). Reviewer: A.G.Kachurovskii (Novosibirsk) MSC: 60F15 37H15 60B99 PDF BibTeX XML Cite \textit{V. V. Szulikowska}, Regul. Chaotic Dyn. 6, No. 1, 39--46 (2001; Zbl 1007.60012) Full Text: DOI Link OpenURL
Kifer, Yuri “Random” random matrix products. (English) Zbl 1008.60084 J. Anal. Math. 83, 41-88 (2001). Reviewer: Ki Hang Kim (Montgomery) MSC: 60J50 37H15 60F05 15B52 60K37 PDF BibTeX XML Cite \textit{Y. Kifer}, J. Anal. Math. 83, 41--88 (2001; Zbl 1008.60084) Full Text: DOI OpenURL
Grigorchuk, R. I. An ergodic theorem for the action of a free semigroup. (English. Russian original) Zbl 1172.37303 Grigorchuk, R.I. (ed.), Dynamical systems, automata, and infinite groups. Transl. from the Russian. Moscow: MAIK Nauka/Interperiodica Publishing. Proc. Steklov Inst. Math. 231, 113-127 (2000); translation from Tr. Mat. Inst. Steklova 231, 119-133 (2000). Reviewer: M. L. Blank MSC: 37A30 28D15 37H15 PDF BibTeX XML Cite \textit{R. I. Grigorchuk}, in: Dynamical systems, automata, and infinite groups. Transl. from the Russian. Moscow: MAIK Nauka/Interperiodica Publishing. 113--127 (2000; Zbl 1172.37303); translation from Tr. Mat. Inst. Steklova 231, 119--133 (2000) OpenURL
Kornfeld, Isaac; Lin, Michael Weak almost periodicity of \(L_1\) contractions and coboundaries of non-singular transformations. (English) Zbl 0955.28009 Stud. Math. 138, No. 3, 225-240 (2000). Reviewer: Robert Cowen (Gaborone) MSC: 28D05 47A35 37A30 PDF BibTeX XML Cite \textit{I. Kornfeld} and \textit{M. Lin}, Stud. Math. 138, No. 3, 225--240 (2000; Zbl 0955.28009) Full Text: EuDML OpenURL
Karlsson, Anders; Margulis, Gregory A. A multiplicative ergodic theorem and nonpositively curved spaces. (English) Zbl 0979.37006 Commun. Math. Phys. 208, No. 1, 107-123 (1999). Reviewer: Tomasz Downarowicz (Wrocław) MSC: 37A30 37A20 PDF BibTeX XML Cite \textit{A. Karlsson} and \textit{G. A. Margulis}, Commun. Math. Phys. 208, No. 1, 107--123 (1999; Zbl 0979.37006) Full Text: DOI OpenURL
Arnold, Ludwig; Nguyen Dinh Cong Linear cocycles with simple Lyapunov spectrum are dense in \(L^\infty\). (English) Zbl 0952.37002 Ergodic Theory Dyn. Syst. 19, No. 6, 1389-1404 (1999). Reviewer: René L.Schilling (Brighton) MSC: 37A20 37A30 37H15 PDF BibTeX XML Cite \textit{L. Arnold} and \textit{Nguyen Dinh Cong}, Ergodic Theory Dyn. Syst. 19, No. 6, 1389--1404 (1999; Zbl 0952.37002) Full Text: DOI OpenURL
Lee, Oesook Asymptotic behaviors of randomly perturbed dynamical systems. (English) Zbl 0952.60022 Stochastic Anal. Appl. 17, No. 6, 993-1008 (1999). Reviewer: Ilya Pavlyukevitch (Berlin) MSC: 60F05 60F10 37H15 PDF BibTeX XML Cite \textit{O. Lee}, Stochastic Anal. Appl. 17, No. 6, 993--1008 (1999; Zbl 0952.60022) Full Text: DOI OpenURL
Gundlach, Volker Matthias; Kifer, Yuri Random hyperbolic systems. (English) Zbl 0933.37056 Crauel, Hans (ed.) et al., Stochastic dynamics. Conference on Random dynamical systems, Bremen, Germany, April 28 - May 2, 1997. Dedicated to Ludwig Arnold on the occasion of his 60th birthday. New York, NY: Springer. 117-145 (1999). Reviewer: Vjatscheslav Vasiliev (Tomsk) MSC: 37H10 37A25 37A30 37H15 37D99 37D35 93E03 PDF BibTeX XML Cite \textit{V. M. Gundlach} and \textit{Y. Kifer}, in: Stochastic dynamics. Conference on Random dynamical systems, Bremen, Germany, April 28 - May 2, 1997. Dedicated to Ludwig Arnold on the ocassion of his 60th birthday. New York, NY: Springer. 117--145 (1999; Zbl 0933.37056) OpenURL
Podhorodyński, Marian Stability of multiplicative dynamical systems. (English) Zbl 0981.37001 Ital. J. Pure Appl. Math. 3, 147-154 (1998). MSC: 37A30 28D99 47A35 60J05 PDF BibTeX XML Cite \textit{M. Podhorodyński}, Ital. J. Pure Appl. Math. 3, 147--154 (1998; Zbl 0981.37001) OpenURL
Yang, Zuodong; Yang, Huisheng Existence of positive radial solutions for a class of quasilinear elliptic systems. (Chinese. English summary) Zbl 0933.35080 Math. Appl. 11, No. 4, 58-62 (1998). MSC: 35J65 37H15 34B15 35B05 PDF BibTeX XML Cite \textit{Z. Yang} and \textit{H. Yang}, Math. Appl. 11, No. 4, 58--62 (1998; Zbl 0933.35080) OpenURL
Kifer, Yuri Limit theorems for random transformations and processes in random environments. (English) Zbl 0995.37033 Trans. Am. Math. Soc. 350, No. 4, 1481-1518 (1998). MSC: 37H10 37H15 37H05 60F05 60J05 60J99 PDF BibTeX XML Cite \textit{Y. Kifer}, Trans. Am. Math. Soc. 350, No. 4, 1481--1518 (1998; Zbl 0995.37033) Full Text: DOI OpenURL
Elskens, Yves Invariance of stretching and expansion spectra, and Oseledec’ multiplicative ergodic theorem. (English) Zbl 0894.58057 Physica D 100, No. 1-4, 142-144 (1997). MSC: 37A30 37C80 PDF BibTeX XML Cite \textit{Y. Elskens}, Physica D 100, No. 1--4, 142--144 (1997; Zbl 0894.58057) Full Text: DOI OpenURL
Raugi, Albert Multiplicative ergodic theorem. Products of independent random matrices. (Théorème ergodique multiplicatif. Produits de matrices aléatoires indépendantes.) (French) Zbl 0947.60008 Fascicule de probabilités. Publications années 1996 - 1997. Rennes: Université de Rennes I, Institut de Recherche Mathématiques de Rennes, Publ. Inst. Rech. Math. Rennes. 1996, 1-43 (1997). Reviewer: D.Szynal (Lublin) MSC: 60B15 60F05 28D05 PDF BibTeX XML Cite \textit{A. Raugi}, in: Fascicule de probabilités. Publications années 1996 -- 1997. Rennes: Université de Rennes I, Institut de Recherche Mathématiques de Rennes. 1--43 (1997; Zbl 0947.60008) OpenURL
Furman, Alex On the multiplicative ergodic theorem for uniquely ergodic systems. (English) Zbl 0892.60011 Ann. Inst. Henri Poincaré, Probab. Stat. 33, No. 6, 797-815 (1997). MSC: 60B15 60F15 PDF BibTeX XML Cite \textit{A. Furman}, Ann. Inst. Henri Poincaré, Probab. Stat. 33, No. 6, 797--815 (1997; Zbl 0892.60011) Full Text: DOI Numdam EuDML OpenURL
Heck, Matthias A perturbation result for the asymptotic behavior of matrix powers. (English) Zbl 0947.60502 J. Theor. Probab. 9, No. 3, 647-658 (1996). MSC: 60F99 PDF BibTeX XML Cite \textit{M. Heck}, J. Theor. Probab. 9, No. 3, 647--658 (1996; Zbl 0947.60502) Full Text: DOI OpenURL
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R. Lyapunov exponents of linear stochastic functional differential equations driven by semimartingales. I: The multiplicative ergodic theory. (English) Zbl 0862.60044 Ann. Inst. Henri Poincaré, Probab. Stat. 32, No. 1, 69-105 (1996). Reviewer: T.N.Pham (Hanoi) MSC: 60H10 60H25 60F15 PDF BibTeX XML Cite \textit{S.-E. A. Mohammed} and \textit{M. K. R. Scheutzow}, Ann. Inst. Henri Poincaré, Probab. Stat. 32, No. 1, 69--105 (1996; Zbl 0862.60044) Full Text: Numdam EuDML OpenURL
Moskal’tsova, N. V.; Shurenkov, V. M. Central limit theorem for stochastically additive functionals of ergodic chains. (English. Russian original) Zbl 0837.60065 Ukr. Math. J. 46, No. 10, 1570-1572 (1994); translation from Ukr. Mat. Zh. 46, No. 10, 1421-1423 (1994). MSC: 60J10 60F05 60J57 PDF BibTeX XML Cite \textit{N. V. Moskal'tsova} and \textit{V. M. Shurenkov}, Ukr. Mat. Zh. 46, No. 10, 1421--1423 (1994; Zbl 0837.60065); translation from Ukr. Mat. Zh. 46, No. 10, 1421--1423 (1994) Full Text: DOI OpenURL
Veech, William A. The billiard in a regular polygon. (English) Zbl 0760.58036 Geom. Funct. Anal. 2, No. 3, 341-379 (1992). Reviewer: N.Papaghiuc (Iaşi) MSC: 37C25 37A30 11N99 PDF BibTeX XML Cite \textit{W. A. Veech}, Geom. Funct. Anal. 2, No. 3, 341--379 (1992; Zbl 0760.58036) Full Text: DOI EuDML OpenURL
Margulis, G. A. Discrete subgroups of semisimple Lie groups. (English) Zbl 0732.22008 Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, 17. Berlin etc.: Springer-Verlag. ix, 388 p. DM 148.00 (1991). Reviewer: J.Schwermer (Eichstätt) MSC: 22E40 22-02 22E46 22F10 37C85 20-02 20G30 22D10 28D15 20G25 60B15 PDF BibTeX XML Cite \textit{G. A. Margulis}, Discrete subgroups of semisimple Lie groups. Berlin etc.: Springer-Verlag (1991; Zbl 0732.22008) OpenURL
Latushkin, Yu. D.; Stëpin, A. M. Weighted translation operators and linear extensions of dynamical systems. (English. Russian original) Zbl 0752.47011 Russ. Math. Surv. 46, No. 2, 95-165 (1991); translation from Usp. Mat. Nauk 46, No. 2(278), 85-143 (1991). Reviewer: N.K.Karapetyants (Rostov-na-Donu) MSC: 47B37 47A35 PDF BibTeX XML Cite \textit{Yu. D. Latushkin} and \textit{A. M. Stëpin}, Russ. Math. Surv. 46, No. 2, 95--165 (1991; Zbl 0752.47011); translation from Usp. Mat. Nauk 46, No. 2(278), 85--143 (1991) Full Text: DOI OpenURL
Goldsheid, I. Ya. Lyapunov exponents and asymptotic behaviour of the product of random matrices. (English) Zbl 0742.15010 Lyapunov exponents, Proc. Conf., Oberwolfach/Ger. 1990, Lect. Notes Math. 1486, 23-37 (1991). Reviewer: H.Crauel (Saarbrücken) MSC: 15B52 60F05 PDF BibTeX XML Cite \textit{I. Ya. Goldsheid}, Lect. Notes Math. None, 23--37 (1991; Zbl 0742.15010) OpenURL
Oseledets, V. I. Remarks on the random multiplicative ergodic theorem. (English) Zbl 0726.60032 Probability theory and mathematical statistics, Proc. 5th Vilnius Conf., Vilnius/Lith. 1989, Vol. II, 275-277 (1990). MSC: 60F99 PDF BibTeX XML OpenURL
Inaba, Hisashi Weak ergodicity of population evolution processes. (English) Zbl 0698.92020 Math. Biosci. 96, No. 2, 195-219 (1989). Reviewer: A.Pakes MSC: 92D25 28D99 60G99 60G35 PDF BibTeX XML Cite \textit{H. Inaba}, Math. Biosci. 96, No. 2, 195--219 (1989; Zbl 0698.92020) Full Text: DOI OpenURL
Kajmanovich, V. A. Lyapunov exponents, symmetric spaces, and a multiplicative ergodic theorem for semisimple Lie groups. (English. Russian original) Zbl 0696.22012 J. Sov. Math. 47, No. 2, 2387-2398 (1989); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 164, 30-46 (1987). MSC: 22E46 60F05 43A65 22D40 34D05 PDF BibTeX XML Cite \textit{V. A. Kajmanovich}, J. Sov. Math. 47, No. 2, 2387--2398 (1989; Zbl 0696.22012); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 164, 30--46 (1987) Full Text: DOI OpenURL
Arnold, Ludwig; San Martin, Luiz A multiplicative ergodic theorem for rotation numbers. (English) Zbl 0684.34059 J. Dyn. Differ. Equations 1, No. 1, 95-119 (1989). MSC: 34F05 37A99 60G10 60F15 PDF BibTeX XML Cite \textit{L. Arnold} and \textit{L. San Martin}, J. Dyn. Differ. Equations 1, No. 1, 95--119 (1989; Zbl 0684.34059) Full Text: DOI OpenURL
Gray, H. L.; Zhang, Nien Fan On a class of nonstationary processes. (English) Zbl 0642.60024 J. Time Ser. Anal. 9, No. 2, 133-154 (1988). MSC: 60G12 60G10 60F99 PDF BibTeX XML Cite \textit{H. L. Gray} and \textit{N. F. Zhang}, J. Time Ser. Anal. 9, No. 2, 133--154 (1988; Zbl 0642.60024) Full Text: DOI OpenURL
Johnson, Russell A.; Palmer, Kenneth J.; Sell, George R. Ergodic properties of linear dynamical systems. (English) Zbl 0641.58034 SIAM J. Math. Anal. 18, 1-33 (1987). Reviewer: M.Denker MSC: 37A30 37C85 37H15 PDF BibTeX XML Cite \textit{R. A. Johnson} et al., SIAM J. Math. Anal. 18, 1--33 (1987; Zbl 0641.58034) Full Text: DOI Link OpenURL
Watkins, Joseph C. A companion to the Oseledec multiplicative ergodic theorem. (English) Zbl 0626.60034 Proc. Am. Math. Soc. 99, 772-776 (1987). MSC: 60G10 60F15 22D40 47A35 PDF BibTeX XML Cite \textit{J. C. Watkins}, Proc. Am. Math. Soc. 99, 772--776 (1987; Zbl 0626.60034) Full Text: DOI OpenURL
Hu, Huyi Ergodic theorems and Lyapunov characteristic exponents. I, II. (Chinese) Zbl 0673.58027 Adv. Math., Beijing 15, 113-129, 251-267 (1986). MSC: 37A99 28D05 37D45 PDF BibTeX XML OpenURL
Slud, Eric V. Stability of exponential growth rate for randomly perturbed random matrix products via Markov-chain arguments. (English) Zbl 0594.60011 Random matrices and their applications, Proc. AMS-IMS-SIAM Joint Summer Res. Conf., Brunswick/Maine 1984, Contemp. Math. 50, 87-92 (1986). MSC: 60B15 60F15 60G10 60J10 PDF BibTeX XML OpenURL
Arnold, L.; Kliemann, W.; Oeljeklaus, Eberhard Lyapunov exponents of linear stochastic systems. (English) Zbl 0588.60047 Lyapunov exponents, Proc. Workshop, Bremen/Ger. 1984, Lect. Notes Math. 1186, 85-125 (1986). MSC: 60H10 60F10 93E15 60F15 60F05 PDF BibTeX XML OpenURL
Ledrappier, F. Quelques proprietés des exposants caractéristiques. (French) Zbl 0578.60029 École d’été de probabilités de Saint-Flour XII-1982, Lect. Notes Math. 1097, 305-396 (1984). Reviewer: G.A.Margulis MSC: 60F15 93E15 60H25 PDF BibTeX XML OpenURL
Ruelle, David Ergodic theory of differentiable dynamical systems. (English) Zbl 0426.58014 Publ. Math., Inst. Hautes Étud. Sci. 50, 27-58 (1979). MSC: 37C75 37A99 60F15 PDF BibTeX XML Cite \textit{D. Ruelle}, Publ. Math., Inst. Hautes Étud. Sci. 50, 27--58 (1979; Zbl 0426.58014) Full Text: DOI Numdam EuDML OpenURL