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). MSC: 37D25 37D30 37D20 37D45 PDF BibTeX XML Cite \textit{V. Araújo} and \textit{E. Trindade}, J. Dyn. Differ. Equations 35, No. 3, 2487--2536 (2023; Zbl 07729210) Full Text: DOI arXiv
Stoyanov, Luchezar Spectral properties of Ruelle transfer operators for regular Gibbs measures and decay of correlations for contact Anosov flows. (English) Zbl 1514.37004 Memoirs of the American Mathematical Society 1404. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5625-2/pbk; 978-1-4704-7405-8/ebook). v, 121 p. (2023). Reviewer: Alexander Felshtyn (Szczecin) MSC: 37-02 37D20 37C40 37D25 37C25 37C30 37D40 PDF BibTeX XML Cite \textit{L. Stoyanov}, Spectral properties of Ruelle transfer operators for regular Gibbs measures and decay of correlations for contact Anosov flows. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1514.37004) Full Text: DOI arXiv
Tsujii, Masato; Zhang, Zhiyuan Smooth mixing Anosov flows in dimension three are exponentially mixing. (English) Zbl 1511.37033 Ann. Math. (2) 197, No. 1, 65-158 (2023). Reviewer: Victor Vargas (Porto) MSC: 37C30 37D20 37A25 37C27 PDF BibTeX XML Cite \textit{M. Tsujii} and \textit{Z. Zhang}, Ann. Math. (2) 197, No. 1, 65--158 (2023; Zbl 1511.37033) Full Text: DOI arXiv
Castorrini, Roberto; Liverani, Carlangelo Quantitative statistical properties of two-dimensional partially hyperbolic systems. (English) Zbl 1510.37049 Adv. Math. 409 A, Article ID 108625, 122 p. (2022). Reviewer: Miguel Paternain (Montevideo) MSC: 37D30 37D35 37C30 37C40 PDF BibTeX XML Cite \textit{R. Castorrini} and \textit{C. Liverani}, Adv. Math. 409 A, Article ID 108625, 122 p. (2022; Zbl 1510.37049) Full Text: DOI arXiv
Tang, Xiao; Zhang, Wenmeng Smooth dependence of nonautonomous linearization on parameters. (English) Zbl 1506.37027 J. Differ. Equations 337, 1-31 (2022). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37C15 37D25 37C75 PDF BibTeX XML Cite \textit{X. Tang} and \textit{W. Zhang}, J. Differ. Equations 337, 1--31 (2022; Zbl 1506.37027) Full Text: DOI
Dolgopyat, Dmitry; Dong, Changguang; Kanigowski, Adam; Nándori, Peter Mixing properties of generalized \(T,T^{-1}\) transformations. (English) Zbl 1504.37004 Isr. J. Math. 247, No. 1, 21-73 (2022). Reviewer: Marks Ruziboev (Wien) MSC: 37A05 37A20 37A50 37A25 37A30 60F05 PDF BibTeX XML Cite \textit{D. Dolgopyat} et al., Isr. J. Math. 247, No. 1, 21--73 (2022; Zbl 1504.37004) Full Text: DOI arXiv
Huntsman, Steve Sampling and statistical physics via symmetry. (English) Zbl 07457740 Barbaresco, Frédéric (ed.) et al., Geometric structures of statistical physics, information geometry, and learning. Proceedings of the workshop on joint structures and common foundation of statistical physics, information geometry and inference for learning, SPIGL’20, Les Houches, France, July 27–31, 2020. Cham: Springer. Springer Proc. Math. Stat. 361, 374-427 (2021). MSC: 65C05 82B10 82M31 PDF BibTeX XML Cite \textit{S. Huntsman}, Springer Proc. Math. Stat. 361, 374--427 (2021; Zbl 07457740) Full Text: DOI arXiv
Daltro, Diego; Varandas, Paulo Exponential decay of correlations for Gibbs measures and semiflows over \(C^{1+\alpha }\) piecewise expanding maps. (English) Zbl 1481.37030 Ann. Henri Poincaré 22, No. 7, 2137-2159 (2021). MSC: 37D20 37D35 37A25 37C40 PDF BibTeX XML Cite \textit{D. Daltro} and \textit{P. Varandas}, Ann. Henri Poincaré 22, No. 7, 2137--2159 (2021; Zbl 1481.37030) Full Text: DOI
Engel, Maximilian; Gkogkas, Marios Antonios; Kuehn, Christian Homogenization of coupled fast-slow systems via intermediate stochastic regularization. (English) Zbl 1470.60150 J. Stat. Phys. 183, No. 2, Paper No. 25, 34 p. (2021). MSC: 60H10 37D20 34E13 37A50 60F17 PDF BibTeX XML Cite \textit{M. Engel} et al., J. Stat. Phys. 183, No. 2, Paper No. 25, 34 p. (2021; Zbl 1470.60150) Full Text: DOI arXiv
Cantrell, Stephen; Sharp, Richard A central limit theorem for periodic orbits of hyperbolic flows. (English) Zbl 1510.37014 Dyn. Syst. 36, No. 1, 142-153 (2021). MSC: 37A50 37A30 37C30 37C10 37D20 60F05 PDF BibTeX XML Cite \textit{S. Cantrell} and \textit{R. Sharp}, Dyn. Syst. 36, No. 1, 142--153 (2021; Zbl 1510.37014) Full Text: DOI arXiv
Crovisier, Sylvain; Yang, Dawei Robust transitivity of singular hyperbolic attractors. (English) Zbl 1476.37044 Math. Z. 298, No. 1-2, 469-488 (2021). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 37C70 37C20 37D05 37D20 37D25 37D30 PDF BibTeX XML Cite \textit{S. Crovisier} and \textit{D. Yang}, Math. Z. 298, No. 1--2, 469--488 (2021; Zbl 1476.37044) Full Text: DOI arXiv
De Simoi, Jacopo; Leguil, Martin; Vinhage, Kurt; Yang, Yun Entropy rigidity for 3D conservative Anosov flows and dispersing billiards. (English) Zbl 1456.37032 Geom. Funct. Anal. 30, No. 5, 1337-1369 (2020). MSC: 37D20 37D40 37A35 37A15 37C83 53C24 57M50 PDF BibTeX XML Cite \textit{J. De Simoi} et al., Geom. Funct. Anal. 30, No. 5, 1337--1369 (2020; Zbl 1456.37032) Full Text: DOI arXiv
Lu, Kening; Zhang, Weinian; Zhang, Wenmeng \(C^1\) Hartman theorem for random dynamical systems. (English) Zbl 1460.37051 Adv. Math. 375, Article ID 107375, 46 p. (2020). Reviewer: Meirong Zhang (Beijing) MSC: 37H30 37C15 37C05 37D10 37C75 PDF BibTeX XML Cite \textit{K. Lu} et al., Adv. Math. 375, Article ID 107375, 46 p. (2020; Zbl 1460.37051) Full Text: DOI
Butterley, Oliver; War, Khadim Open sets of exponentially mixing Anosov flows. (English) Zbl 1452.37035 J. Eur. Math. Soc. (JEMS) 22, No. 7, 2253-2285 (2020). Reviewer: Miguel Paternain (Montevideo) MSC: 37D20 37A25 37C20 37D10 PDF BibTeX XML Cite \textit{O. Butterley} and \textit{K. War}, J. Eur. Math. Soc. (JEMS) 22, No. 7, 2253--2285 (2020; Zbl 1452.37035) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{V. Araújo} and \textit{I. Melbourne}, Adv. Math. 349, 212--245 (2019; Zbl 1442.37019) Full Text: DOI arXiv
Bálint, Péter; Butterley, Oliver; Melbourne, Ian Polynomial decay of correlations for flows, including Lorentz gas examples. (English) Zbl 1433.37006 Commun. Math. Phys. 368, No. 1, 55-111 (2019). MSC: 37A60 37A50 82B40 37D25 PDF BibTeX XML Cite \textit{P. Bálint} et al., Commun. Math. Phys. 368, No. 1, 55--111 (2019; Zbl 1433.37006) Full Text: DOI arXiv Link
Bruin, Henk; Melbourne, Ian; Terhesiu, Dalia Rates of mixing for non-Markov infinite measure semiflows. (English) Zbl 1417.37050 Trans. Am. Math. Soc. 371, No. 10, 7343-7386 (2019). Reviewer: Hasan Akin (Gaziantep) MSC: 37A25 37A40 37A50 37C30 PDF BibTeX XML Cite \textit{H. Bruin} et al., Trans. Am. Math. Soc. 371, No. 10, 7343--7386 (2019; Zbl 1417.37050) Full Text: DOI arXiv
Bomfim, Thiago; Varandas, Paulo The gluing orbit property, uniform hyperbolicity and large deviations principles for semiflows. (English) Zbl 1412.37023 J. Differ. Equations 267, No. 1, 228-266 (2019). MSC: 37C05 37C10 37D20 37C20 60F10 37C75 PDF BibTeX XML Cite \textit{T. Bomfim} and \textit{P. Varandas}, J. Differ. Equations 267, No. 1, 228--266 (2019; Zbl 1412.37023) Full Text: DOI arXiv
Melbourne, Ian; Terhesiu, Dalia Mixing properties for toral extensions of slowly mixing dynamical systems with finite and infinite measure. (English) Zbl 1477.37006 J. Mod. Dyn. 12, 285-313 (2018). Reviewer: El Houcein El Abdalaoui (Saint Etienne du Rouvray) MSC: 37A25 37A40 37D25 60K05 PDF BibTeX XML Cite \textit{I. Melbourne} and \textit{D. Terhesiu}, J. Mod. Dyn. 12, 285--313 (2018; Zbl 1477.37006) Full Text: DOI arXiv
Melbourne, Ian Superpolynomial and polynomial mixing for semiflows and flows. (English) Zbl 1429.37013 Nonlinearity 31, No. 10, R268-R316 (2018). Reviewer: Gheorghe Tigan (Timisoara) MSC: 37C10 37D45 37D25 37A25 37C83 PDF BibTeX XML Cite \textit{I. Melbourne}, Nonlinearity 31, No. 10, R268--R316 (2018; Zbl 1429.37013) Full Text: DOI arXiv
Tsujii, Masato Exponential mixing for generic volume-preserving Anosov flows in dimension three. (English) Zbl 1393.37028 J. Math. Soc. Japan 70, No. 2, 757-821 (2018). Reviewer: Jonas Deré (Leuven) MSC: 37C30 37A25 37D20 PDF BibTeX XML Cite \textit{M. Tsujii}, J. Math. Soc. Japan 70, No. 2, 757--821 (2018; Zbl 1393.37028) Full Text: DOI arXiv Euclid
Hammerlindl, Andy Ergodic components of partially hyperbolic systems. (English) Zbl 1379.37071 Comment. Math. Helv. 92, No. 1, 131-184 (2017). Reviewer: Marta Macho Stadler (Leioa) MSC: 37D30 37C40 57R30 57S25 37C05 37D20 PDF BibTeX XML Cite \textit{A. Hammerlindl}, Comment. Math. Helv. 92, No. 1, 131--184 (2017; Zbl 1379.37071) Full Text: DOI arXiv
Melbourne, Ian; Terhesiu, Dalia Operator renewal theory for continuous time dynamical systems with finite and infinite measure. (English) Zbl 1361.37008 Monatsh. Math. 182, No. 2, 377-431 (2017). MSC: 37A25 37A40 37A50 60K05 37K30 47A35 PDF BibTeX XML Cite \textit{I. Melbourne} and \textit{D. Terhesiu}, Monatsh. Math. 182, No. 2, 377--431 (2017; Zbl 1361.37008) Full Text: DOI arXiv Link
De Simoi, Jacopo; Liverani, Carlangelo Statistical properties of mostly contracting fast-slow partially hyperbolic systems. (English) Zbl 1385.37044 Invent. Math. 206, No. 1, 147-227 (2016). Reviewer: Yujun Zhu (Xiamen) MSC: 37D30 37E10 37A25 37C30 37A50 60F17 PDF BibTeX XML Cite \textit{J. De Simoi} and \textit{C. Liverani}, Invent. Math. 206, No. 1, 147--227 (2016; Zbl 1385.37044) Full Text: DOI arXiv
Butterley, Oliver A note on operator semigroups associated to chaotic flows. (English) Zbl 1367.37024 Ergodic Theory Dyn. Syst. 36, No. 5, 1396-1408 (2016); corrigendum ibid. 36, No. 5, 1409-1410 (2016). MSC: 37C30 37A25 44A10 PDF BibTeX XML Cite \textit{O. Butterley}, Ergodic Theory Dyn. Syst. 36, No. 5, 1396--1408 (2016; Zbl 1367.37024) Full Text: DOI arXiv
Araújo, V.; Butterley, O.; Varandas, P. Open sets of Axiom A flows with exponentially mixing attractors. (English) Zbl 1359.37066 Proc. Am. Math. Soc. 144, No. 7, 2971-2984 (2016). Reviewer: Xu Zhang (Weihai) MSC: 37D20 37A25 37C10 PDF BibTeX XML Cite \textit{V. Araújo} et al., Proc. Am. Math. Soc. 144, No. 7, 2971--2984 (2016; Zbl 1359.37066) Full Text: DOI arXiv
Kelly, David; Melbourne, Ian Smooth approximation of stochastic differential equations. (English) Zbl 1372.60082 Ann. Probab. 44, No. 1, 479-520 (2016). Reviewer: Oliver Janke (Berlin) MSC: 60H10 60H05 60F17 60F05 37D20 37D25 37A50 PDF BibTeX XML Cite \textit{D. Kelly} and \textit{I. Melbourne}, Ann. Probab. 44, No. 1, 479--520 (2016; Zbl 1372.60082) Full Text: DOI arXiv Euclid
Iommi, Godofredo; Jordan, Thomas; Todd, Mike Recurrence and transience for suspension flows. (English) Zbl 1352.37089 Isr. J. Math. 209, Part 2, 547-592 (2015). MSC: 37D35 37B20 PDF BibTeX XML Cite \textit{G. Iommi} et al., Isr. J. Math. 209, Part 2, 547--592 (2015; Zbl 1352.37089) Full Text: DOI arXiv Link
Gottwald, Georg A.; Melbourne, Ian A test for a conjecture on the nature of attractors for smooth dynamical systems. (English) Zbl 1345.37022 Chaos 24, No. 2, 024403, 9 p. (2014). MSC: 37C70 37C15 37D45 PDF BibTeX XML Cite \textit{G. A. Gottwald} and \textit{I. Melbourne}, Chaos 24, No. 2, 024403, 9 p. (2014; Zbl 1345.37022) 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 PDF BibTeX XML Cite \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
Zhang, Wenmeng; Zhang, Weinian Sharpness for \(C^1\) linearization of planar hyperbolic diffeomorphisms. (English) Zbl 1300.37023 J. Differ. Equations 257, No. 12, 4470-4502 (2014). MSC: 37D20 37E30 34C20 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{W. Zhang}, J. Differ. Equations 257, No. 12, 4470--4502 (2014; Zbl 1300.37023) Full Text: DOI arXiv
Zhang, Wenmeng; Zhang, Weinian; Jarczyk, Witold Sharp regularity of linearization for \(C^{1,1}\) hyperbolic diffeomorphisms. (English) Zbl 1288.37026 Math. Ann. 358, No. 1-2, 69-113 (2014). Reviewer: Lutz Recke (Berlin) MSC: 37L10 PDF BibTeX XML Cite \textit{W. Zhang} et al., Math. Ann. 358, No. 1--2, 69--113 (2014; Zbl 1288.37026) Full Text: DOI arXiv
Kifer, Yuri Nonconventional limit theorems in averaging. (English. French summary) Zbl 1353.37107 Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 1, 236-255 (2014). MSC: 37H10 34C29 60F17 PDF BibTeX XML Cite \textit{Y. Kifer}, Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 1, 236--255 (2014; Zbl 1353.37107) Full Text: DOI arXiv Euclid
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 PDF BibTeX XML Cite \textit{V. Araújo} and \textit{P. Varandas}, Commun. Math. Phys. 311, No. 1, 215--246 (2012; Zbl 1314.37010) Full Text: DOI arXiv
Faure, Frédéric; Sjöstrand, Johannes Upper bound on the density of Ruelle resonances for Anosov flows. (English) Zbl 1260.37016 Commun. Math. Phys. 308, No. 2, 325-364 (2011). Reviewer: Nicolas Roy (Berlin) MSC: 37D20 35A27 81Q20 47G30 58J40 35S30 47B35 37C30 81Q10 PDF BibTeX XML Cite \textit{F. Faure} and \textit{J. Sjöstrand}, Commun. Math. Phys. 308, No. 2, 325--364 (2011; Zbl 1260.37016) Full Text: DOI arXiv
Field, Michael J. Exponential mixing for smooth hyperbolic suspension flows. (English) Zbl 1223.37026 Regul. Chaotic Dyn. 16, No. 1-2, 90-103 (2011). Reviewer: Juan Luis García Guirao (Cartagena) MSC: 37C05 37C10 37C15 PDF BibTeX XML Cite \textit{M. J. Field}, Regul. Chaotic Dyn. 16, No. 1--2, 90--103 (2011; Zbl 1223.37026) Full Text: DOI
Bálint, Péter; Melbourne, Ian Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows. (English) Zbl 1161.82016 J. Stat. Phys. 133, No. 3, 435-447 (2008). MSC: 82C40 PDF BibTeX XML Cite \textit{P. Bálint} and \textit{I. Melbourne}, J. Stat. Phys. 133, No. 3, 435--447 (2008; Zbl 1161.82016) Full Text: DOI arXiv
Luzzatto, Stefano; Melbourne, Ian; Paccaut, Frederic The Lorenz attractor is mixing. (English) Zbl 1082.37030 Commun. Math. Phys. 260, No. 2, 393-401 (2005). MSC: 37D45 37A25 PDF BibTeX XML Cite \textit{S. Luzzatto} et al., Commun. Math. Phys. 260, No. 2, 393--401 (2005; Zbl 1082.37030) Full Text: DOI arXiv