Jin, Long; Tao, Zhongkai Counting Pollicott-Ruelle resonances for axiom a flows. (English) Zbl 07966794 Commun. Math. Phys. 406, No. 2, Paper No. 26, 43 p. (2025). MSC: 37Cxx 37Dxx 58Jxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Faure, Frédéric; Tsujii, Masato Micro-local analysis of contact Anosov flows and band structure of the Ruelle spectrum. (English) Zbl 07965285 Commun. Am. Math. Soc. 4, 641-745 (2024). MSC: 37D20 37D35 37C30 81Q20 81Q50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guedes Bonthonneau, Yannick; Guillarmou, Colin; Weich, Tobias SRB measures for Anosov actions. (English) Zbl 07939784 J. Differ. Geom. 128, No. 3, 959-1026 (2024). MSC: 53C12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Podvigin, I. V. On convergence rates in the Birkhoff ergodic theorem. (English. Russian original) Zbl 07937487 Sib. Math. J. 65, No. 5, 1170-1186 (2024); translation from Sib. Mat. Zh. 65, No. 5, 991-1010 (2024). MSC: 37A30 × Cite Format Result Cite Review PDF Full Text: DOI
Lima, Yuri; Matheus, Carlos; Melbourne, Ian Polynomial decay of correlations for nonpositively curved surfaces. (English) Zbl 07905993 Trans. Am. Math. Soc. 377, No. 9, 6043-6095 (2024). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37D40 37A25 37A50 37D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cekić, Mihajlo; Lefeuvre, Thibault Stability estimates for the holonomy inverse problem. (English) Zbl 07903424 Commun. Partial Differ. Equations 49, No. 5-6, 428-469 (2024). Reviewer: Lennard Bakker (Provo) MSC: 53C07 37D20 58J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Zhiqiang; Zheng, Tianyi Prime orbit theorems for expanding Thurston maps: Lattès maps and split Ruelle operators. (English) Zbl 1547.37035 Adv. Math. 449, Article ID 109723, 96 p. (2024). MSC: 37C30 37D35 37D40 37F15 37B10 11A41 11N05 11N45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Zhiqiang; Zheng, Tianyi Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds. (English) Zbl 1546.37071 Adv. Math. 443, Article ID 109600, 89 p. (2024). Reviewer: David Lowry-Duda (Providence) MSC: 37F15 37F10 37C30 37C35 57M12 11N45 11M36 11M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dai, Xian; Eptaminitakis, Nikolas The covariance metric in the Blaschke locus. (English) Zbl 1545.53036 J. Geom. Anal. 34, No. 5, Paper No. 145, 54 p. (2024). Reviewer: Georgios Kydonakis (Pátra) MSC: 53C21 53C20 53A15 58J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barthelmé, Thomas; Mann, Kathryn [Bowden, Jonathan] Orbit equivalences of \(\mathbb{R}\)-covered Anosov flows and hyperbolic-like actions on the line. With an appendix written jointly with Jonathan Bowden. (English) Zbl 1540.37050 Geom. Topol. 28, No. 2, 867-899 (2024). MSC: 37D20 37C85 37C27 57M60 57M50 57K33 57K35 53E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ohshika, Makoto; Lippolis, Domenico; Shudo, Akira Escape-rate response to noise of all amplitudes in leaky chaos. (English) Zbl 1537.37049 Physica D 458, Article ID 134016, 12 p. (2024). MSC: 37E30 37H10 65P20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Delarue, Benjamin; Schütte, Philipp; Weich, Tobias Resonances and weighted zeta functions for obstacle scattering via smooth models. (English) Zbl 1537.37036 Ann. Henri Poincaré 25, No. 2, 1607-1656 (2024). MSC: 37C83 37C30 37D40 37D20 37D25 37A46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ni, Angxiu Backpropagation in hyperbolic chaos via adjoint shadowing. (English) Zbl 1536.37032 Nonlinearity 37, No. 3, Article ID 035009, 27 p. (2024). MSC: 37C50 37C40 37M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Forni, Giovanni Invariant distributions in parabolic dynamics. (English) Zbl 07875002 Sémin. Laurent Schwartz, EDP Appl. 2022-2023, Exp. No. 11, 17 p. (2023). Reviewer: Thomas B. Ward (Durham) MSC: 37-02 37D40 37E10 37E30 37E35 37C15 37C20 37B40 37A44 × Cite Format Result Cite Review PDF Full Text: DOI
Bruin, Henk; Canales Farías, Hector Homero Mixing rates of the geometrical neutral Lorenz model. (English) Zbl 1533.37081 J. Stat. Phys. 190, No. 12, Paper No. 198, 31 p. (2023). MSC: 37D25 37D45 37C10 37C70 37C75 37D10 37C20 37C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blumenthal, Alex; Zelati, Michele Coti; Gvalani, Rishabh S. Exponential mixing for random dynamical systems and an example of Pierrehumbert. (English) Zbl 1519.35258 Ann. Probab. 51, No. 4, 1559-1601 (2023). MSC: 35Q49 35Q35 76F25 35D30 37A25 37H05 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lefeuvre, Thibault Isometric extensions of Anosov flows via microlocal analysis. (English) Zbl 1518.37044 Commun. Math. Phys. 399, No. 1, 453-479 (2023). Reviewer: Rafael Potrie Altieri (Montevideo) MSC: 37D25 37D20 37C40 37A25 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Adam, Alexander; Baladi, Viviane Horocycle averages on closed manifolds and transfer operators. (English) Zbl 1510.37038 Tunis. J. Math. 4, No. 3, 387-441 (2022). Reviewer: Matheus Cheque Bortolan (Florianópolis) MSC: 37C30 37D20 37D40 37A30 37C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Castorrini, Roberto; Liverani, Carlangelo Quantitative statistical properties of two-dimensional partially hyperbolic systems. (English) Zbl 1510.37049 Adv. Math. 409, Part A, Article ID 108625, 122 p. (2022). Reviewer: Miguel Paternain (Montevideo) MSC: 37D30 37D35 37C30 37C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cekić, Mihajlo; Lefeuvre, Thibault; Moroianu, Andrei; Semmelmann, Uwe Towards Brin’s conjecture on frame flow ergodicity: new progress and perspectives. (English) Zbl 1502.37046 Math. Res. Rep. (Amst.) 3, 21-34 (2022). MSC: 37D40 37D30 37A25 53C10 53C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Melbourne, Ian; Paviato, Nicolò; Terhesiu, Dalia Decay in norm of transfer operators for semiflows. (English) Zbl 1503.37041 Stud. Math. 266, No. 2, 149-166 (2022). MSC: 37C30 37D20 37D25 37D35 37A25 60K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dolgopyat, Dmitry; Fayad, Bassam; Liu, Sixu Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence. (English) Zbl 1502.37012 J. Mod. Dyn. 18, 209-289 (2022). MSC: 37A50 37A25 37D40 11K60 60F20 × Cite Format Result Cite Review PDF Full Text: DOI
Dolgopyat, Dmitry; Nándori, Péter; Pène, Françoise Asymptotic expansion of correlation functions for \({\mathbb{Z}^d}\) covers of hyperbolic flows. (English. French summary) Zbl 1510.37039 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 2, 1244-1283 (2022). Reviewer: Valeria Ricci (Roma) MSC: 37C30 37A50 37A60 37D40 37A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cekić, Mihajlo; Delarue, Benjamin; Dyatlov, Semyon; Paternain, Gabriel P. The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. (English) Zbl 1502.37028 Invent. Math. 229, No. 1, 303-394 (2022). Reviewer: Ryo Ohashi (Wilkes-Barre) MSC: 37C30 37C40 57K32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Melbourne, Ian; Paviato, Nicolò; Terhesiu, Dalia Nonexistence of spectral gaps in Hölder spaces for continuous time dynamical systems. (English) Zbl 1498.37036 Isr. J. Math. 247, No. 2, 987-991 (2022). MSC: 37C40 37C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kolb, Martin; Weich, Tobias; Wolf, Lasse L. Spectral asymptotics for kinetic Brownian motion on surfaces of constant curvature. (English) Zbl 1487.60150 Ann. Henri Poincaré 23, No. 4, 1283-1296 (2022). Reviewer: Christos E. Kountzakis (Karlovassi) MSC: 60J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bonthonneau, Yannick Guedes; Weich, Tobias Ruelle-Pollicott resonances for manifolds with hyperbolic cusps. (English) Zbl 1495.37022 J. Eur. Math. Soc. (JEMS) 24, No. 3, 851-923 (2022). MSC: 37C30 58J50 35B34 35A27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bedrossian, Jacob; Blumenthal, Alex; Punshon-Smith, Samuel Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations. (English) Zbl 1513.37037 Ann. Probab. 50, No. 1, 241-303 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 37H10 37A25 37N10 60H30 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guillarmou, Colin; Knieper, Gerhard; Lefeuvre, Thibault Geodesic stretch, pressure metric and marked length spectrum rigidity. (English) Zbl 1493.37036 Ergodic Theory Dyn. Syst. 42, No. 3, 974-1022 (2022). Reviewer: Sebastian Hensel (München) MSC: 37D40 37D20 37D35 37A50 32G15 30F60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Salehi Golsefidy, Alireza (ed.); Kontorovich, Alex (ed.); Oh, Hee (ed.) Working session: Thin groups and super-approximation. Abstracts from the working session held October 10–15, 2021 (hybrid meeting). (Arbeitsgemeinschaft: Thin groups and super-approximation.) (English) Zbl 1506.00092 Oberwolfach Rep. 18, No. 4, 2721-2790 (2021). MSC: 00B05 00B25 22-06 37-06 22E40 37F35 11N45 × Cite Format Result Cite Review PDF Full Text: DOI
Foulon, Patrick; Hasselblatt, Boris; Vaugon, Anne Orbit growth of contact structures after surgery. (Croissance des orbites périodiques et complexité pour des structures de contact construites par chirurgie.) (English. French summary) Zbl 1492.37036 Ann. Henri Lebesgue 4, 1103-1141 (2021). MSC: 37D20 37C35 37C55 37D40 53E50 57K33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guillarmou, Colin; Hilgert, Joachim; Weich, Tobias High frequency limits for invariant Ruelle densities. (Limites hautes fréquences pour les densités invariantes de Ruelle.) (English. French summary) Zbl 1498.37035 Ann. Henri Lebesgue 4, 81-119 (2021). MSC: 37C40 37D20 53C35 35P20 58J51 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Broise-Alamichel, Anne; Parkkonen, Jouni; Paulin, Frédéric Rate of mixing for equilibrium states in negative curvature and trees. (English) Zbl 1485.37032 Pollicott, Mark (ed.) et al., Thermodynamic formalism. CIRM Jean-Morlet chair, fall 2019. Cham: Springer. Lect. Notes Math. 2290, 291-315 (2021). MSC: 37D40 37D35 37A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guillarmou, Colin; Küster, Benjamin Spectral theory of the frame flow on hyperbolic 3-manifolds. (English) Zbl 1489.37041 Ann. Henri Poincaré 22, No. 11, 3565-3617 (2021). MSC: 37D40 37C30 57K32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Cekić, Mihajlo; Guillarmou, Colin First band of Ruelle resonances for contact Anosov flows in dimension 3. (English) Zbl 1480.37043 Commun. Math. Phys. 386, No. 2, 1289-1318 (2021). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37D20 47A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Jézéquel, Malo Global trace formula for ultra-differentiable Anosov flows. (English) Zbl 1483.37039 Commun. Math. Phys. 385, No. 3, 1771-1834 (2021). Reviewer: Thomas B. Ward (Newcastle) MSC: 37D20 37C10 37C30 37C40 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Ledrappier, François; Lim, Seonhee Local limit theorem in negative curvature. (English) Zbl 1476.37055 Duke Math. J. 170, No. 8, 1585-1681 (2021). Reviewer: George Stoica (Saint John) MSC: 37D40 37A17 37A25 37A30 37A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gouëzel, Sébastien; Lefeuvre, Thibault Classical and microlocal analysis of the x-ray transform on Anosov manifolds. (English) Zbl 1479.37028 Anal. PDE 14, No. 1, 301-322 (2021). Reviewer: Lennard Bakker (Provo) MSC: 37D20 37D40 53C21 53C22 53C24 44A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Bruin, Henk; Terhesiu, Dalia; Todd, Mike Pressure function and limit theorems for almost Anosov flows. (English) Zbl 1467.37034 Commun. Math. Phys. 382, No. 1, 1-47 (2021). Reviewer: Barbara Schapira (Rennes) MSC: 37D25 37D35 37A50 37C30 37C10 37A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Demers, Mark F. Uniqueness and exponential mixing for the measure of maximal entropy for piecewise hyperbolic maps. (English) Zbl 1464.37040 Discrete Contin. Dyn. Syst. 41, No. 1, 217-256 (2021). Reviewer: Dahisy Lima (Santo André) MSC: 37D20 37D35 37A35 37B40 37C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Climenhaga, Vaughn; Knieper, Gerhard; War, Khadim Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points. (English) Zbl 1464.37042 Adv. Math. 376, Article ID 107452, 45 p. (2021). Reviewer: Mário Jorge Dias Carneiro (Belo Horizonte) MSC: 37D35 37D40 37A25 37C40 37B40 53C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ledrappier, François Three problems solved by Sébastien Gouëzel. (English) Zbl 1495.37034 J. Mod. Dyn. 16, 373-387 (2020). MSC: 37D40 37A17 37A25 37A30 37A50 37C30 × Cite Format Result Cite Review PDF Full Text: DOI
Cekić, Mihajlo; Paternain, Gabriel P. Resonant spaces for volume-preserving Anosov flows. (English) Zbl 1467.37031 Pure Appl. Anal. 2, No. 4, 795-840 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37D20 37D10 37C30 37C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dang, Nguyen Viet; Rivière, Gabriel Spectral analysis of Morse-Smale flows. I: Construction of the anisotropic spaces. (English) Zbl 1455.37024 J. Inst. Math. Jussieu 19, No. 5, 1409-1465 (2020). Reviewer: Dahisy Lima (Santo André) MSC: 37C30 37C10 37C25 37D15 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Küster, Benjamin; Weich, Tobias Pollicott-Ruelle resonant states and Betti numbers. (English) Zbl 1451.37048 Commun. Math. Phys. 378, No. 2, 917-941 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37D40 37D10 37C20 37C40 57K32 53B20 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gossart, Luc Flat trace statistics of the transfer operator of a random partially expanding map. (English) Zbl 1454.37033 Nonlinearity 33, No. 7, 3303-3335 (2020). Reviewer: Alexander Felshtyn (Szczecin) MSC: 37D30 37E10 60F05 37C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Dang, Nguyen Viet; Guillarmou, Colin; Rivière, Gabriel; Shen, Shu The Fried conjecture in small dimensions. (English) Zbl 1439.37043 Invent. Math. 220, No. 2, 525-579 (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 37D40 37D20 55R25 57K32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Pollicott, Mark Exponential mixing: lectures from Mumbai. (English) Zbl 1447.37032 Dani, S. G. (ed.) et al., Geometric and ergodic aspects of group actions. Selected papers presented at the workshop on geometric and ergodic aspects of group actions, Mumbai, India, April 20–24, 2015 and at the follow-up meeting on distinguished lectures in dynamics, Mumbai, India, April 10–14, 2017. Singapore: Springer. Infosys Sci. Found. Ser., 135-167 (2019). Reviewer: Hasan Akin (Gaziantep) MSC: 37C30 37A25 37D40 37A05 × Cite Format Result Cite Review PDF Full Text: DOI
Naud, Frédéric On the rate of mixing of circle extensions of Anosov maps. (English) Zbl 1431.37024 J. Spectr. Theory 9, No. 3, 791-824 (2019). Reviewer: Hasan Akin (Gaziantep) MSC: 37C30 37E30 37D35 37A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giulietti, Paolo; Liverani, Carlangelo Parabolic dynamics and anisotropic Banach spaces. (English) Zbl 1425.37005 J. Eur. Math. Soc. (JEMS) 21, No. 9, 2793-2858 (2019). Reviewer: George Stoica (Saint John) MSC: 37A30 37A25 37C40 37D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elgindi, Tarek M.; Zlatoš, Andrej Universal mixers in all dimensions. (English) Zbl 1428.35357 Adv. Math. 356, Article ID 106807, 33 p. (2019). MSC: 35Q35 35B44 76D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Young, Lai-Sang Comparing chaotic and random dynamical systems. (English) Zbl 1421.37019 J. Math. Phys. 60, No. 5, 052701, 11 p. (2019). MSC: 37D45 37H10 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alberti, Giovanni; Crippa, Gianluca; Mazzucato, Anna L. Exponential self-similar mixing by incompressible flows. (English) Zbl 1456.35158 J. Am. Math. Soc. 32, No. 2, 445-490 (2019). MSC: 35Q35 76F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Chen, Jianyu; Hu, Huyi The spectral gap for transfer operators of torus extensions over expanding maps. (English) Zbl 1423.37022 Nonlinearity 32, No. 1, 356-393 (2019). Reviewer: Pengfei Zhang (Norman) MSC: 37C30 37D20 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gouëzel, Sébastien; Stoyanov, Luchezar Quantitative Pesin theory for Anosov diffeomorphisms and flows. (English) Zbl 1404.37062 Ergodic Theory Dyn. Syst. 39, No. 1, 159-200 (2019). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37H15 37D25 37B50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Bortolotti, Ricardo T. Physical measures for certain partially hyperbolic attractors on 3-manifolds. (English) Zbl 1415.37038 Ergodic Theory Dyn. Syst. 39, No. 1, 74-104 (2019). Reviewer: Pengfei Zhang (Norman) MSC: 37D30 37C70 37C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Demers, Mark F. A gentle introduction to anisotropic Banach spaces. (English) Zbl 1442.37046 Chaos Solitons Fractals 116, 29-42 (2018). MSC: 37D20 47A10 37-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Donnay, Victor; Visscher, Daniel A new proof of the existence of embedded surfaces with Anosov geodesic flow. (English) Zbl 1410.37032 Regul. Chaotic Dyn. 23, No. 6, 685-694 (2018). MSC: 37D40 37D20 53D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Türeli, Sina The ball-box theorem for a class of corank 1 non-differentiable tangent subbundles. (English) Zbl 1409.53033 J. Dyn. Control Syst. 24, No. 4, 681-699 (2018). MSC: 53C17 37D40 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Simoi, Jacopo; Liverani, Carlangelo Limit theorems for fast-slow partially hyperbolic systems. (English) Zbl 1401.37029 Invent. Math. 213, No. 3, 811-1016 (2018). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37C30 37A25 37D30 70K70 37A50 60F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kourganoff, Mickaël Uniform hyperbolicity in nonflat billiards. (English) Zbl 1394.37050 Discrete Contin. Dyn. Syst. 38, No. 3, 1145-1160 (2018). MSC: 37D20 53D25 70E55 37D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tanis, James Exponential multiple mixing for some partially hyperbolic flows on products of \(\mathrm{PSL}(2, \mathbb{R})\). (English) Zbl 1407.37049 Discrete Contin. Dyn. Syst. 38, No. 3, 989-1006 (2018). MSC: 37D40 37A17 37A25 37A45 53D25 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Dyatlov, Semyon; Guillarmou, Colin Afterword: Dynamical zeta functions for axiom A flows. (English) Zbl 1390.37002 Bull. Am. Math. Soc., New Ser. 55, No. 3, 337-342 (2018). MSC: 37-03 01A60 37D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tsujii, Masato Geodesic flows on negatively curved manifolds and the semi-classical zeta function. (English. Japanese original) Zbl 1391.37022 Sugaku Expo. 31, No. 1, 69-92 (2018); translation from Sūgaku 66, No. 2, 113-134 (2014). MSC: 37C30 37D40 53D25 81Q50 × Cite Format Result Cite Review PDF Full Text: DOI
Pollicott, Mark Hyperbolic systems, zeta functions and other friends. (English) Zbl 1409.37030 Przytycki, Feliks (ed.), Dynamical systems. Simons Semester in Banach Center, 2015. Papers based on the courses delivered at the Semester, Będlewo, Poland, September and November, 2015. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 115, 145-182 (2018). Reviewer: Alexander Felshtyn (Szczecin) MSC: 37C30 37F35 37D20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Baladi, Viviane; Demers, Mark F.; Liverani, Carlangelo Exponential decay of correlations for finite horizon Sinai billiard flows. (English) Zbl 1382.37037 Invent. Math. 211, No. 1, 39-177 (2018). Reviewer: George Stoica (Saint John) MSC: 37D50 37A50 37C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruin, Henk; Terhesiu, Dalia The Dolgopyat inequality in bounded variation for non-Markov maps. (English) Zbl 1380.37045 Stoch. Dyn. 18, No. 2, Article ID 1850006, 44 p. (2018). MSC: 37C30 37D25 37D50 37E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Faure, Frédéric; Weich, Tobias Global normal form and asymptotic spectral gap for open partially expanding maps. (English) Zbl 1394.37039 Commun. Math. Phys. 356, No. 3, 755-822 (2017). MSC: 37C30 37D35 37C40 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dyatlov, Semyon; Zworski, Maciej Ruelle zeta function at zero for surfaces. (English) Zbl 1382.58022 Invent. Math. 210, No. 1, 211-229 (2017). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 37C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eswarathasan, Suresh; Rivière, Gabriel Perturbation of the semiclassical Schrödinger equation on negatively curved surfaces. (English) Zbl 1379.37129 J. Inst. Math. Jussieu 16, No. 4, 787-835 (2017). Reviewer: Alex B. Gaina (Chisinau) MSC: 37K55 81Q20 58J51 81Q50 35Q41 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Burns, Keith; Masur, Howard; Matheus, Carlos; Wilkinson, Amie Rates of mixing for the Weil-Petersson geodesic flow: exponential mixing in exceptional moduli spaces. (English) Zbl 1375.53104 Geom. Funct. Anal. 27, No. 2, 240-288 (2017). Reviewer: Patrick Eberlein (Chapel Hill) MSC: 53D25 37D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eslami, Peyman Stretched-exponential mixing for \(\mathcal{C}^{1+\alpha}\) skew products with discontinuities. (English) Zbl 1369.37054 Ergodic Theory Dyn. Syst. 37, No. 1, 146-175 (2017). MSC: 37E30 37A25 37C30 37D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zworski, Maciej Mathematical study of scattering resonances. (English) Zbl 1368.35230 Bull. Math. Sci. 7, No. 1, 1-85 (2017). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q40 35P25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Weich, Tobias On the support of Pollicott-Ruelle resonant states for Anosov flows. (On the support of Pollicott-Ruelle resonanant states for Anosov flows.) (English) Zbl 1365.37031 Ann. Henri Poincaré 18, No. 1, 37-52 (2017). Reviewer: Angela Slavova (Sofia) MSC: 37D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Long; Zworski, Maciej A local trace formula for Anosov flows. (English) Zbl 1373.37088 Ann. Henri Poincaré 18, No. 1, 1-35 (2017). Reviewer: Pascual Lucas Saorín (Murcia) MSC: 37D20 37C30 53C44 37D40 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Han, Xiaolong Small scale equidistribution of random eigenbases. (English) Zbl 1357.35241 Commun. Math. Phys. 349, No. 1, 425-440 (2017). MSC: 35P20 58J51 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Butterley, Oliver; Eslami, Peyman Exponential mixing for skew products with discontinuities. (English) Zbl 1369.37006 Trans. Am. Math. Soc. 369, No. 2, 783-803 (2017). Reviewer: Hasan Akin (Gaziantep) MSC: 37A25 37C30 37D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kachurovskii, Aleksandr G.; Podvigin, Ivan V. Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems. (English. Russian original) Zbl 1370.37014 Trans. Mosc. Math. Soc. 2016, 1-53 (2016); translation from Tr. Mosk. Mat. O.-va 77, No. 1, 1-66 (2016). Reviewer: Alejandro Mesón (La Plata) MSC: 37A30 37D20 37D50 60G10 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dyatlov, Semyon; Guillarmou, Colin Pollicott-Ruelle resonances for open systems. (English) Zbl 1367.37038 Ann. Henri Poincaré 17, No. 11, 3089-3146 (2016). MSC: 37D40 37D20 81S22 53D25 37C30 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Simić, Slobodan N. On the sub-Riemannian geometry of contact Anosov flows. (English) Zbl 1375.37105 J. Topol. Anal. 8, No. 1, 187-205 (2016). MSC: 37D40 53C17 37D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liverani, Carlangelo; Terhesiu, Dalia Mixing for some non-uniformly hyperbolic systems. (English) Zbl 1368.37011 Ann. Henri Poincaré 17, No. 1, 179-226 (2016). Reviewer: Bolis Basit (Clayton) MSC: 37A30 37A25 37D25 28D05 47A35 37C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv