Bahsoun, Wael; Liverani, Carlangelo; Sélley, Fanni M. Globally coupled Anosov diffeomorphisms: statistical properties. (English) Zbl 07692737 Commun. Math. Phys. 400, No. 3, 1791-1822 (2023). Reviewer: Peng Sun (Beijing) MSC: 37C40 37D20 37A50 37C30 PDFBibTeX XMLCite \textit{W. Bahsoun} et al., Commun. Math. Phys. 400, No. 3, 1791--1822 (2023; Zbl 07692737) Full Text: DOI arXiv
Bahsoun, Wael; Liverani, Carlangelo Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations. (English) Zbl 1505.37037 Ergodic Theory Dyn. Syst. 42, No. 8, 2431-2467 (2022). MSC: 37C30 37A25 37A30 37D20 PDFBibTeX XMLCite \textit{W. Bahsoun} and \textit{C. Liverani}, Ergodic Theory Dyn. Syst. 42, No. 8, 2431--2467 (2022; Zbl 1505.37037) Full Text: DOI arXiv
Butterley, Oliver; Kiamari, Niloofar; Liverani, Carlangelo Locating Ruelle-Pollicott resonances. (English) Zbl 1491.37028 Nonlinearity 35, No. 1, 513-566 (2022). Reviewer: Jialun Li (Zürich) MSC: 37C30 37C40 37D20 37D30 PDFBibTeX XMLCite \textit{O. Butterley} et al., Nonlinearity 35, No. 1, 513--566 (2022; Zbl 1491.37028) Full Text: DOI arXiv
Demers, Mark F.; Kiamari, Niloofar; Liverani, Carlangelo Transfer operators in hyperbolic dynamics. An introduction. Paper from the 33rd Brazilian mathematics colloquium – 33°Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, August 2–6, 2021. (English) Zbl 1507.37024 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-65-89124-26-9). 238 p., open access (2021). MSC: 37C30 37D20 37D25 37D30 37C05 37E35 PDFBibTeX XMLCite \textit{M. F. Demers} et al., Transfer operators in hyperbolic dynamics. An introduction. Paper from the 33rd Brazilian mathematics colloquium -- 33\degree Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, August 2--6, 2021. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (2021; Zbl 1507.37024) Full Text: Link
Giulietti, Paolo; Liverani, Carlangelo; Pollicott, Mark Anosov flows and dynamical zeta functions. (English) Zbl 1418.37042 Ann. Math. (2) 178, No. 2, 687-773 (2013). MSC: 37C30 37C40 37D20 37B40 PDFBibTeX XMLCite \textit{P. Giulietti} et al., Ann. Math. (2) 178, No. 2, 687--773 (2013; Zbl 1418.37042) Full Text: DOI arXiv
Liverani, Carlangelo Multidimensional expanding maps with singularities: a pedestrian approach. (English) Zbl 1268.37026 Ergodic Theory Dyn. Syst. 33, No. 1, 168-182 (2013). Reviewer: Anke Pohl (Göttingen) MSC: 37D20 37D40 37C30 PDFBibTeX XMLCite \textit{C. Liverani}, Ergodic Theory Dyn. Syst. 33, No. 1, 168--182 (2013; Zbl 1268.37026) Full Text: DOI arXiv
Baladi, Viviane; Liverani, Carlangelo Exponential decay of correlations for piecewise cone hyperbolic contact flows. (English) Zbl 1386.37030 Commun. Math. Phys. 314, No. 3, 689-773 (2012). MSC: 37D25 37D50 37C30 37D20 37A25 37C40 PDFBibTeX XMLCite \textit{V. Baladi} and \textit{C. Liverani}, Commun. Math. Phys. 314, No. 3, 689--773 (2012; Zbl 1386.37030) Full Text: DOI arXiv
Ayyer, Arvind; Liverani, Carlangelo; Stenlund, Mikko Quenched CLT for random toral automorphism. (English) Zbl 1163.60305 Discrete Contin. Dyn. Syst. 24, No. 2, 331-348 (2009). MSC: 60F05 37D20 82C41 82D30 PDFBibTeX XMLCite \textit{A. Ayyer} et al., Discrete Contin. Dyn. Syst. 24, No. 2, 331--348 (2009; Zbl 1163.60305) Full Text: DOI arXiv
Demers, Mark F.; Liverani, Carlangelo Stability of statistical properties in two-dimensional piecewise hyperbolic maps. (English) Zbl 1153.37019 Trans. Am. Math. Soc. 360, No. 9, 4777-4814 (2008). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37D50 37D20 37C30 PDFBibTeX XMLCite \textit{M. F. Demers} and \textit{C. Liverani}, Trans. Am. Math. Soc. 360, No. 9, 4777--4814 (2008; Zbl 1153.37019) Full Text: DOI arXiv
Gouëzel, Sébastien; Liverani, Carlangelo Compact locally maximal hyperbolic sets for smooth maps: Fine statistical properties. (English) Zbl 1166.37010 J. Differ. Geom. 79, No. 3, 433-477 (2008). Reviewer: Akihiko Morimoto (Nagoya) MSC: 37D20 37A30 37A50 PDFBibTeX XMLCite \textit{S. Gouëzel} and \textit{C. Liverani}, J. Differ. Geom. 79, No. 3, 433--477 (2008; Zbl 1166.37010) Full Text: DOI arXiv Euclid
Liverani, C.; Marie, Ph.; Vaienti, S. Random classical fidelity. (English) Zbl 1185.37062 J. Stat. Phys. 128, No. 4, 1079-1091 (2007). MSC: 37D20 82C10 37H99 81Q50 82B05 94A15 PDFBibTeX XMLCite \textit{C. Liverani} et al., J. Stat. Phys. 128, No. 4, 1079--1091 (2007; Zbl 1185.37062) Full Text: DOI
Liverani, Carlangelo; Tsujii, Masato Zeta functions and dynamical systems. (English) Zbl 1190.37025 Nonlinearity 19, No. 10, 2467-2473 (2006). MSC: 37D20 37C30 PDFBibTeX XMLCite \textit{C. Liverani} and \textit{M. Tsujii}, Nonlinearity 19, No. 10, 2467--2473 (2006; Zbl 1190.37025) Full Text: DOI arXiv
Keller, Gerhard; Liverani, Carlangelo Uniqueness of the SRB measure for piecewise expanding weakly coupled map lattices in any dimension. (English) Zbl 1107.37019 Commun. Math. Phys. 262, No. 1, 33-50 (2006). Reviewer: Michael L. Blank (Moskva) MSC: 37C40 37C30 37A25 37A60 37D20 82C20 PDFBibTeX XMLCite \textit{G. Keller} and \textit{C. Liverani}, Commun. Math. Phys. 262, No. 1, 33--50 (2006; Zbl 1107.37019) Full Text: DOI
Gouëzel, Sébastien; Liverani, Carlangelo Banach spaces adapted to Anosov systems. (English) Zbl 1088.37010 Ergodic Theory Dyn. Syst. 26, No. 1, 189-217 (2006). MSC: 37D20 37C30 46F05 47B38 PDFBibTeX XMLCite \textit{S. Gouëzel} and \textit{C. Liverani}, Ergodic Theory Dyn. Syst. 26, No. 1, 189--217 (2006; Zbl 1088.37010) Full Text: DOI arXiv
Liverani, Carlangelo Fredholm determinants, Anosov maps and Ruelle resonances. (English) Zbl 1160.37330 Discrete Contin. Dyn. Syst. 13, No. 5, 1203-1215 (2005). MSC: 37C30 37D20 PDFBibTeX XMLCite \textit{C. Liverani}, Discrete Contin. Dyn. Syst. 13, No. 5, 1203--1215 (2005; Zbl 1160.37330) Full Text: DOI arXiv
Liverani, Carlangelo On contact Anosov flows. (English) Zbl 1067.37031 Ann. Math. (2) 159, No. 3, 1275-1312 (2004). Reviewer: Ursula Hamenstädt (Bonn) MSC: 37D20 37A25 PDFBibTeX XMLCite \textit{C. Liverani}, Ann. Math. (2) 159, No. 3, 1275--1312 (2004; Zbl 1067.37031) Full Text: DOI arXiv
Keller, Gerhard; Liverani, Carlangelo Coupled map lattices without cluster expansion. (English) Zbl 1060.37019 Discrete Contin. Dyn. Syst. 11, No. 2-3, 325-335 (2004). Reviewer: Ursula Hamenstädt (Bonn) MSC: 37D20 37D35 37A25 37A60 82C20 PDFBibTeX XMLCite \textit{G. Keller} and \textit{C. Liverani}, Discrete Contin. Dyn. Syst. 11, No. 2--3, 325--335 (2004; Zbl 1060.37019) Full Text: DOI Link
Blank, Michael; Keller, Gerhard; Liverani, Carlangelo Ruelle-Perron-Frobenius spectrum for Anosov maps. (English) Zbl 1021.37015 Nonlinearity 15, No. 6, 1905-1973 (2002). Reviewer: Victor Jiménez López (Murcia) MSC: 37D20 37A25 37M25 47A35 PDFBibTeX XMLCite \textit{M. Blank} et al., Nonlinearity 15, No. 6, 1905--1973 (2002; Zbl 1021.37015) Full Text: DOI arXiv
Liverani, C. Computing the rate of decay of correlations in expanding and hyperbolic systems. (English) Zbl 1007.37016 Markov Process. Relat. Fields 8, No. 2, 155-162 (2002). MSC: 37D20 37A30 37M25 PDFBibTeX XMLCite \textit{C. Liverani}, Markov Process. Relat. Fields 8, No. 2, 155--162 (2002; Zbl 1007.37016)
Bressaud, Xavier; Liverani, Carlangelo Anosov diffeomorphisms and coupling. (English) Zbl 1067.37030 Ergodic Theory Dyn. Syst. 22, No. 1, 129-152 (2002). MSC: 37D20 37C40 60K35 PDFBibTeX XMLCite \textit{X. Bressaud} and \textit{C. Liverani}, Ergodic Theory Dyn. Syst. 22, No. 1, 129--152 (2002; Zbl 1067.37030) Full Text: DOI