Araújo, Vitor; Trindade, Edvan Robust exponential mixing and convergence to equilibrium for singular-hyperbolic attracting sets. (English) Zbl 07729210 J. Dyn. Differ. Equations 35, No. 3, 2487-2536 (2023). Reviewer: Miguel Paternain (Montevideo) MSC: 37D05 37D45 37D25 37C40 PDFBibTeX XMLCite \textit{V. Araújo} and \textit{E. Trindade}, J. Dyn. Differ. Equations 35, No. 3, 2487--2536 (2023; Zbl 07729210) Full Text: DOI arXiv
Araujo, Vitor; Cerqueira, Junilson On robust expansiveness for sectional hyperbolic attracting sets. (English) Zbl 1514.37045 Mosc. Math. J. 23, No. 1, 11-46 (2023). MSC: 37D05 37C20 37D30 PDFBibTeX XMLCite \textit{V. Araujo} and \textit{J. Cerqueira}, Mosc. Math. J. 23, No. 1, 11--46 (2023; Zbl 1514.37045) Full Text: arXiv Link
Araujo, Vitor On the number of ergodic physical/SRB measures of singular-hyperbolic attracting sets. (English) Zbl 1519.37031 J. Differ. Equations 354, 373-402 (2023). MSC: 37D25 37D05 37D30 37D20 37C40 37C70 PDFBibTeX XMLCite \textit{V. Araujo}, J. Differ. Equations 354, 373--402 (2023; Zbl 1519.37031) Full Text: DOI arXiv
Araujo, Vitor; Coelho, Vinicius; Salgado, Luciana Adapted metrics for singular hyperbolic flows. (English) Zbl 1490.37041 Bull. Braz. Math. Soc. (N.S.) 52, No. 4, 815-840 (2021). Reviewer: Ngoc Thach Nguyen (Daejeon) MSC: 37D05 37D30 37D25 37D10 58B20 PDFBibTeX XMLCite \textit{V. Araujo} et al., Bull. Braz. Math. Soc. (N.S.) 52, No. 4, 815--840 (2021; Zbl 1490.37041) Full Text: DOI arXiv
Araujo, Vitor Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability. (English) Zbl 1481.37029 Ergodic Theory Dyn. Syst. 41, No. 9, 2706-2733 (2021). Reviewer: Ngoc Thach Nguyen (Daejeon) MSC: 37D05 37D25 37D30 37D35 37D20 37C40 37A60 PDFBibTeX XMLCite \textit{V. Araujo}, Ergodic Theory Dyn. Syst. 41, No. 9, 2706--2733 (2021; Zbl 1481.37029) Full Text: DOI arXiv
Araujo, V.; Pinheiro, V. Abundance of wild historic behavior. (English) Zbl 1472.37004 Bull. Braz. Math. Soc. (N.S.) 52, No. 1, 41-76 (2021). Reviewer: Meirong Zhang (Beijing) MSC: 37A30 37C20 37C35 37C70 37D20 PDFBibTeX XMLCite \textit{V. Araujo} and \textit{V. Pinheiro}, Bull. Braz. Math. Soc. (N.S.) 52, No. 1, 41--76 (2021; Zbl 1472.37004) Full Text: DOI arXiv
Araujo, Vitor On the statistical stability of families of attracting sets and the contracting Lorenz attractor. (English) Zbl 1472.37043 J. Stat. Phys. 182, No. 3, Paper No. 53, 16 p. (2021). MSC: 37D45 37D30 37D25 37D35 PDFBibTeX XMLCite \textit{V. Araujo}, J. Stat. Phys. 182, No. 3, Paper No. 53, 16 p. (2021; Zbl 1472.37043) Full Text: DOI arXiv
Araujo, Vitor Sinks and sources for \(C^1\) dynamics whose Lyapunov exponents have constant sign. (English) Zbl 1458.37047 Osaka J. Math. 57, No. 4, 751-788 (2020). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 37D25 37D30 37D20 37C05 PDFBibTeX XMLCite \textit{V. Araujo}, Osaka J. Math. 57, No. 4, 751--788 (2020; Zbl 1458.37047) Full Text: arXiv Euclid
Araujo, Vitor; Souza, Andressa; Trindade, Edvan Upper large deviations bound for singular-hyperbolic attracting sets. (English) Zbl 1451.37045 J. Dyn. Differ. Equations 31, No. 2, 601-652 (2019). MSC: 37D30 37D25 37D35 37C40 PDFBibTeX XMLCite \textit{V. Araujo} et al., J. Dyn. Differ. Equations 31, No. 2, 601--652 (2019; Zbl 1451.37045) Full Text: DOI arXiv
Araújo, V.; Melbourne, I. Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation. (English) Zbl 1442.37019 Adv. Math. 349, 212-245 (2019). MSC: 37A50 37A25 37C40 37D35 37C70 PDFBibTeX XMLCite \textit{V. Araújo} and \textit{I. Melbourne}, Adv. Math. 349, 212--245 (2019; Zbl 1442.37019) Full Text: DOI arXiv
Araújo, Vitor; Melbourne, Ian Exponential decay of correlations for nonuniformly hyperbolic flows with a \(C^{1+\alpha}\) stable foliation, including the classical Lorenz attractor. (English) Zbl 1367.37033 Ann. Henri Poincaré 17, No. 11, 2975-3004 (2016). MSC: 37D25 37D20 37D40 53D25 37C10 PDFBibTeX XMLCite \textit{V. Araújo} and \textit{I. Melbourne}, Ann. Henri Poincaré 17, No. 11, 2975--3004 (2016; Zbl 1367.37033) Full Text: DOI arXiv
Araújo, V.; Melbourne, I.; Varandas, P. Rapid mixing for the Lorenz attractor and statistical limit laws for their time-1 maps. (English) Zbl 1356.37002 Commun. Math. Phys. 340, No. 3, 901-938 (2015). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37A25 37A50 37C10 37C40 37D50 37D45 60F05 PDFBibTeX XMLCite \textit{V. Araújo} et al., Commun. Math. Phys. 340, No. 3, 901--938 (2015; Zbl 1356.37002) Full Text: DOI arXiv
Araujo, Vitor; Salgado, Luciana Dominated splitting for exterior powers and singular hyperbolicity. (English) Zbl 1359.37072 J. Differ. Equations 259, No. 8, 3874-3893 (2015). MSC: 37D30 37D25 PDFBibTeX XMLCite \textit{V. Araujo} and \textit{L. Salgado}, J. Differ. Equations 259, No. 8, 3874--3893 (2015; Zbl 1359.37072) Full Text: DOI arXiv
Araujo, Vitor; Galatolo, Stefano; Pacifico, Maria José Statistical properties of Lorenz-like flows, recent developments and perspectives. (English) Zbl 1302.37022 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 10, Article ID 1430028, 34 p. (2014). MSC: 37D25 37A25 37D45 37D50 37C45 37C05 37C40 PDFBibTeX XMLCite \textit{V. Araujo} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 10, Article ID 1430028, 34 p. (2014; Zbl 1302.37022) Full Text: DOI arXiv
Araújo, Vitor; Galatolo, Stefano; Pacifico, Maria José Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors. (English) Zbl 1337.37019 Math. Z. 276, No. 3-4, 1001-1048 (2014); erratum ibid. 282, No. 1-2, 615-621 (2016). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37C10 37C45 37C40 37D30 37D25 PDFBibTeX XMLCite \textit{V. Araújo} et al., Math. Z. 276, No. 3--4, 1001--1048 (2014; Zbl 1337.37019) Full Text: DOI arXiv
Araujo, Vitor; Salgado, Luciana Infinitesimal Lyapunov functions for singular flows. (English) Zbl 1408.37056 Math. Z. 275, No. 3-4, 863-897 (2013); correction ibid. 300, No. 3, 3315-3316 (2022). MSC: 37D30 37D25 PDFBibTeX XMLCite \textit{V. Araujo} and \textit{L. Salgado}, Math. Z. 275, No. 3--4, 863--897 (2013; Zbl 1408.37056) Full Text: DOI arXiv
Araújo, Vítor; Varandas, Paulo Robust exponential decay of correlations for singular-flows. (English) Zbl 1314.37010 Commun. Math. Phys. 311, No. 1, 215-246 (2012); erratum ibid. 341, No. 2, 729-731 (2016). Reviewer: Jorge Miguel Milhazes de Freitas (Porto) MSC: 37A25 37C10 37D45 37C70 PDFBibTeX XMLCite \textit{V. Araújo} and \textit{P. Varandas}, Commun. Math. Phys. 311, No. 1, 215--246 (2012; Zbl 1314.37010) Full Text: DOI arXiv
Araújo, V.; Castro, A.; Pacifico, M. J.; Pinheiro, V. Multidimensional Rovella-like attractors. (English) Zbl 1251.37043 J. Differ. Equations 251, No. 11, 3163-3201 (2011). Reviewer: Hongkun Zhang (Amherst) MSC: 37D50 37D30 37D45 37D25 PDFBibTeX XMLCite \textit{V. Araújo} et al., J. Differ. Equations 251, No. 11, 3163--3201 (2011; Zbl 1251.37043) Full Text: DOI arXiv
Araujo, V.; Pacifico, M. J.; Pujals, E. R.; Viana, M. Singular-hyperbolic attractors are chaotic. (English) Zbl 1214.37010 Trans. Am. Math. Soc. 361, No. 5, 2431-2485 (2009). MSC: 37C10 37C40 37D30 37D45 PDFBibTeX XMLCite \textit{V. Araujo} et al., Trans. Am. Math. Soc. 361, No. 5, 2431--2485 (2009; Zbl 1214.37010) Full Text: DOI arXiv
Alves, J. F.; Araújo, V.; Pacifico, M. J.; Pinheiro, V. On the volume of singular-hyperbolic sets. (English) Zbl 1226.37014 Dyn. Syst. 22, No. 3, 249-267 (2007). MSC: 37D30 37C70 37G10 PDFBibTeX XMLCite \textit{J. F. Alves} et al., Dyn. Syst. 22, No. 3, 249--267 (2007; Zbl 1226.37014) Full Text: DOI arXiv
Alves, José F.; Araújo, Vítor; Vásquez, Carlos H. Stochastic stability of non-uniformly hyperbolic diffeomorphisms. (English) Zbl 1210.37022 Stoch. Dyn. 7, No. 3, 299-333 (2007). MSC: 37D25 37C40 37H15 PDFBibTeX XMLCite \textit{J. F. Alves} et al., Stoch. Dyn. 7, No. 3, 299--333 (2007; Zbl 1210.37022) Full Text: DOI
Araújo, Vítor; Pacifico, Maria José Statistical stability of saddle-node arcs. (English) Zbl 1136.37305 Dyn. Syst. 21, No. 2, 245-264 (2006). MSC: 37A10 37E10 37C45 37C75 37H99 PDFBibTeX XMLCite \textit{V. Araújo} and \textit{M. J. Pacifico}, Dyn. Syst. 21, No. 2, 245--264 (2006; Zbl 1136.37305) Full Text: DOI arXiv