Burguet, David SRB measures for \(C^{\infty}\) surface diffeomorphisms. (English) Zbl 07807381 Invent. Math. 235, No. 3, 1019-1062 (2024). MSC: 37C40 37D25 PDFBibTeX XMLCite \textit{D. Burguet}, Invent. Math. 235, No. 3, 1019--1062 (2024; Zbl 07807381) Full Text: DOI arXiv
Fehrman, Benjamin; Gess, Benjamin Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift. (English) Zbl 1527.35425 Invent. Math. 234, No. 2, 573-636 (2023). MSC: 35Q84 60F10 60H15 60K35 82B21 35D30 37H05 60L50 60H17 82B31 PDFBibTeX XMLCite \textit{B. Fehrman} and \textit{B. Gess}, Invent. Math. 234, No. 2, 573--636 (2023; Zbl 1527.35425) Full Text: DOI arXiv OA License
De Simoi, Jacopo; Kaloshin, Vadim; Leguil, Martin Marked length spectral determination of analytic chaotic billiards with axial symmetries. (English) Zbl 1522.37041 Invent. Math. 233, No. 2, 829-901 (2023). MSC: 37C83 37C55 37B10 PDFBibTeX XMLCite \textit{J. De Simoi} et al., Invent. Math. 233, No. 2, 829--901 (2023; Zbl 1522.37041) Full Text: DOI arXiv
Gérard, Patrick; Pushnitski, Alexander Unbounded Hankel operators and the flow of the cubic Szegő equation. (English) Zbl 1525.47058 Invent. Math. 232, No. 3, 995-1026 (2023). Reviewer: Adhemar Bultheel (Leuven) MSC: 47B35 37K20 47A15 35Q55 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{A. Pushnitski}, Invent. Math. 232, No. 3, 995--1026 (2023; Zbl 1525.47058) Full Text: DOI arXiv
Ionescu, Alexandru D.; Magyar, Ákos; Mirek, Mariusz; Szarek, Tomasz Z. Polynomial averages and pointwise ergodic theorems on nilpotent groups. (English) Zbl 1514.37015 Invent. Math. 231, No. 3, 1023-1140 (2023). MSC: 37A30 37A46 22D40 37A15 28D15 PDFBibTeX XMLCite \textit{A. D. Ionescu} et al., Invent. Math. 231, No. 3, 1023--1140 (2023; Zbl 1514.37015) Full Text: DOI arXiv
Li, Jialun; Pan, Wenyu Exponential mixing of geodesic flows for geometrically finite hyperbolic manifolds with cusps. (English) Zbl 1520.37031 Invent. Math. 231, No. 3, 931-1021 (2023). Reviewer: Lin Shu (Beijing) MSC: 37D40 37C30 PDFBibTeX XMLCite \textit{J. Li} and \textit{W. Pan}, Invent. Math. 231, No. 3, 931--1021 (2023; Zbl 1520.37031) Full Text: DOI arXiv
Avila, Artur; Damanik, David; Zhang, Zhenghe Schrödinger operators with potentials generated by hyperbolic transformations. I: Positivity of the Lyapunov exponent. (English) Zbl 1511.37038 Invent. Math. 231, No. 2, 851-927 (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37D25 37B10 37D35 39A70 39A12 34L05 34L40 PDFBibTeX XMLCite \textit{A. Avila} et al., Invent. Math. 231, No. 2, 851--927 (2023; Zbl 1511.37038) Full Text: DOI arXiv
Solecki, Sławomir Generic measure preserving transformations and the closed groups they generate. (English) Zbl 1514.37009 Invent. Math. 231, No. 2, 805-850 (2023). MSC: 37A15 22F10 22A25 03E15 22D40 PDFBibTeX XMLCite \textit{S. Solecki}, Invent. Math. 231, No. 2, 805--850 (2023; Zbl 1514.37009) Full Text: DOI arXiv
Belov, Yurii; Kulikov, Aleksei; Lyubarskii, Yurii Gabor frames for rational functions. (English) Zbl 1512.42044 Invent. Math. 231, No. 2, 431-466 (2023). Reviewer: Rosario Corso (Palermo) MSC: 42C15 37N99 30D99 PDFBibTeX XMLCite \textit{Y. Belov} et al., Invent. Math. 231, No. 2, 431--466 (2023; Zbl 1512.42044) Full Text: DOI arXiv
Buzzi, Jérôme; Crovisier, Sylvain; Sarig, Omri Continuity properties of Lyapunov exponents for surface diffeomorphisms. (English) Zbl 1510.37041 Invent. Math. 230, No. 2, 767-849 (2022). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37C40 37E30 37D30 37A35 37D35 PDFBibTeX XMLCite \textit{J. Buzzi} et al., Invent. Math. 230, No. 2, 767--849 (2022; Zbl 1510.37041) Full Text: DOI arXiv
Berti, Massimiliano; Maspero, Alberto; Ventura, Paolo Full description of Benjamin-Feir instability of Stokes waves in deep water. (English) Zbl 1498.76037 Invent. Math. 230, No. 2, 651-711 (2022). MSC: 76E99 76B15 35Q35 37N10 PDFBibTeX XMLCite \textit{M. Berti} et al., Invent. Math. 230, No. 2, 651--711 (2022; Zbl 1498.76037) Full Text: DOI arXiv
Shelukhin, Egor Viterbo conjecture for Zoll symmetric spaces. (English) Zbl 07585648 Invent. Math. 230, No. 1, 321-373 (2022). MSC: 53D12 53C35 37Jxx 57R17 PDFBibTeX XMLCite \textit{E. Shelukhin}, Invent. Math. 230, No. 1, 321--373 (2022; Zbl 07585648) Full Text: DOI arXiv
Dolgopyat, Dmitry; Dong, Changguang; Kanigowski, Adam; Nándori, Péter Flexibility of statistical properties for smooth systems satisfying the central limit theorem. (English) Zbl 1521.37005 Invent. Math. 230, No. 1, 31-120 (2022). Reviewer: Wasiur Rahman Khuda Bukhsh (Nottingham) MSC: 37A50 37A35 37A25 60F05 PDFBibTeX XMLCite \textit{D. Dolgopyat} et al., Invent. Math. 230, No. 1, 31--120 (2022; Zbl 1521.37005) Full Text: DOI arXiv
Bader, Uri; Boutonnet, Rémi; Houdayer, Cyril; Peterson, Jesse Charmenability of arithmetic groups of product type. (English) Zbl 07569645 Invent. Math. 229, No. 3, 929-985 (2022). MSC: 22E40 22D10 22D25 37B05 46L10 46L30 PDFBibTeX XMLCite \textit{U. Bader} et al., Invent. Math. 229, No. 3, 929--985 (2022; Zbl 07569645) 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 PDFBibTeX XMLCite \textit{M. Cekić} et al., Invent. Math. 229, No. 1, 303--394 (2022; Zbl 1502.37028) Full Text: DOI arXiv
Chaidez, J.; Edtmair, O. 3D convex contact forms and the Ruelle invariant. (English) Zbl 1506.37056 Invent. Math. 229, No. 1, 243-301 (2022). Reviewer: Mihail Banaru (Smolensk) MSC: 37E30 37E45 37C30 37B30 PDFBibTeX XMLCite \textit{J. Chaidez} and \textit{O. Edtmair}, Invent. Math. 229, No. 1, 243--301 (2022; Zbl 1506.37056) Full Text: DOI arXiv
McMullen, Curtis T. Billiards, heights, and the arithmetic of non-arithmetic groups. (English) Zbl 07526078 Invent. Math. 228, No. 3, 1309-1351 (2022). MSC: 30Fxx 37Dxx 11Fxx PDFBibTeX XMLCite \textit{C. T. McMullen}, Invent. Math. 228, No. 3, 1309--1351 (2022; Zbl 07526078) Full Text: DOI
Torres de Lizaur, Francisco Chaos in the incompressible Euler equation on manifolds of high dimension. (English) Zbl 1492.35210 Invent. Math. 228, No. 2, 687-715 (2022). MSC: 35Q31 35R01 37K99 76B03 35B41 58D15 35A24 34D10 PDFBibTeX XMLCite \textit{F. Torres de Lizaur}, Invent. Math. 228, No. 2, 687--715 (2022; Zbl 1492.35210) Full Text: DOI arXiv
Bedrossian, Jacob; Blumenthal, Alex; Punshon-Smith, Sam A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations. (English) Zbl 1490.37073 Invent. Math. 227, No. 2, 429-516 (2022). MSC: 37H15 35H10 37D25 58J65 35B65 60H15 94A17 PDFBibTeX XMLCite \textit{J. Bedrossian} et al., Invent. Math. 227, No. 2, 429--516 (2022; Zbl 1490.37073) Full Text: DOI arXiv
Ghazouani, Selim Local rigidity for periodic generalised interval exchange transformations. (English) Zbl 1489.37050 Invent. Math. 226, No. 2, 467-520 (2021). MSC: 37E05 37A05 37E20 PDFBibTeX XMLCite \textit{S. Ghazouani}, Invent. Math. 226, No. 2, 467--520 (2021; Zbl 1489.37050) Full Text: DOI arXiv
Looper, Nicole R. Dynamical uniform boundedness and the \(abc\)-conjecture. (English) Zbl 1468.14059 Invent. Math. 225, No. 1, 1-44 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 14H25 37C25 11C08 11R09 14E05 37F10 11D41 PDFBibTeX XMLCite \textit{N. R. Looper}, Invent. Math. 225, No. 1, 1--44 (2021; Zbl 1468.14059) Full Text: DOI arXiv
Izumi, Masaki; Matui, Hiroki Poly-\(\mathbb{Z}\) group actions on Kirchberg algebras. II. (English) Zbl 1469.46071 Invent. Math. 224, No. 3, 699-766 (2021). Reviewer: Ralf Meyer (Göttingen) MSC: 46L80 46L55 PDFBibTeX XMLCite \textit{M. Izumi} and \textit{H. Matui}, Invent. Math. 224, No. 3, 699--766 (2021; Zbl 1469.46071) Full Text: DOI arXiv
Bartholdi, Laurent; Dudko, Dzmitry Algorithmic aspects of branched coverings. II/V: Sphere bisets and decidability of Thurston equivalence. (English) Zbl 1518.57030 Invent. Math. 223, No. 3, 895-994 (2021). Reviewer: Kevin M. Pilgrim (Bloomington) MSC: 57M12 37D20 37F15 37F20 37D40 PDFBibTeX XMLCite \textit{L. Bartholdi} and \textit{D. Dudko}, Invent. Math. 223, No. 3, 895--994 (2021; Zbl 1518.57030) Full Text: DOI arXiv
Dougall, Rhiannon; Sharp, Richard Anosov flows, growth rates on covers and group extensions of subshifts. (English) Zbl 1467.37037 Invent. Math. 223, No. 2, 445-483 (2021). Reviewer: Miguel Paternain (Montevideo) MSC: 37D40 37D20 37D35 37C55 37C27 37C85 37B10 PDFBibTeX XMLCite \textit{R. Dougall} and \textit{R. Sharp}, Invent. Math. 223, No. 2, 445--483 (2021; Zbl 1467.37037) Full Text: DOI arXiv
Chaika, Jon; Masur, Howard The set of non-uniquely ergodic \(d\)-IETs has Hausdorff codimension 1/2. (English) Zbl 1462.37026 Invent. Math. 222, No. 3, 749-832 (2020). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 37C45 37A25 37E15 37D40 PDFBibTeX XMLCite \textit{J. Chaika} and \textit{H. Masur}, Invent. Math. 222, No. 3, 749--832 (2020; Zbl 1462.37026) Full Text: DOI arXiv
Marrakchi, Amine Full factors, bicentralizer flow and approximately inner automorphisms. (English) Zbl 1464.46066 Invent. Math. 222, No. 1, 375-398 (2020). MSC: 46L36 46L10 46L40 46L55 PDFBibTeX XMLCite \textit{A. Marrakchi}, Invent. Math. 222, No. 1, 375--398 (2020; Zbl 1464.46066) Full Text: DOI arXiv
Kim, Sang-hyun; Koberda, Thomas Diffeomorphism groups of critical regularity. (English) Zbl 1446.57020 Invent. Math. 221, No. 2, 421-501 (2020). Reviewer: Bruno Zimmermann (Trieste) MSC: 57M60 20F36 37C05 37C85 57S05 PDFBibTeX XMLCite \textit{S.-h. Kim} and \textit{T. Koberda}, Invent. Math. 221, No. 2, 421--501 (2020; Zbl 1446.57020) Full Text: DOI arXiv
Gaidashev, Denis; Yampolsky, Michael Renormalization of almost commuting pairs. (English) Zbl 1446.37040 Invent. Math. 221, No. 1, 203-236 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37E10 37E45 37F15 37F25 PDFBibTeX XMLCite \textit{D. Gaidashev} and \textit{M. Yampolsky}, Invent. Math. 221, No. 1, 203--236 (2020; Zbl 1446.37040) Full Text: DOI arXiv
Dudko, Artem; Sutherland, Scott On the Lebesgue measure of the Feigenbaum Julia set. (English) Zbl 1454.37045 Invent. Math. 221, No. 1, 167-202 (2020). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 37F25 37F35 28A78 30D05 PDFBibTeX XMLCite \textit{A. Dudko} and \textit{S. Sutherland}, Invent. Math. 221, No. 1, 167--202 (2020; Zbl 1454.37045) Full Text: DOI arXiv
Gutman, Yonatan; Tsukamoto, Masaki Embedding minimal dynamical systems into Hilbert cubes. (English) Zbl 1444.37010 Invent. Math. 221, No. 1, 113-166 (2020). MSC: 37B02 37B05 37C45 54F45 PDFBibTeX XMLCite \textit{Y. Gutman} and \textit{M. Tsukamoto}, Invent. Math. 221, No. 1, 113--166 (2020; Zbl 1444.37010) Full Text: DOI arXiv
Kanigowski, Adam; Lemańczyk, Mariusz; Ulcigrai, Corinna On disjointness properties of some parabolic flows. (English) Zbl 1453.37003 Invent. Math. 221, No. 1, 1-111 (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 37A17 37D40 PDFBibTeX XMLCite \textit{A. Kanigowski} et al., Invent. Math. 221, No. 1, 1--111 (2020; Zbl 1453.37003) Full Text: DOI arXiv Link
Good, Chris; Meddaugh, Jonathan Shifts of finite type as fundamental objects in the theory of shadowing. (English) Zbl 1445.37015 Invent. Math. 220, No. 3, 715-736 (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 37B65 37B02 37B10 37B20 37C15 PDFBibTeX XMLCite \textit{C. Good} and \textit{J. Meddaugh}, Invent. Math. 220, No. 3, 715--736 (2020; Zbl 1445.37015) Full Text: DOI arXiv
Avila, Artur; Fayad, Bassam; Le Calvez, Patrice; Xu, Disheng; Zhang, Zhiyuan On mixing diffeomorphisms of the disc. (English) Zbl 1448.37052 Invent. Math. 220, No. 3, 673-714 (2020). Reviewer: Álvaro Castañeda (Santiago) MSC: 37E30 37E45 37C05 37E10 37B40 37A25 37J40 PDFBibTeX XMLCite \textit{A. Avila} et al., Invent. Math. 220, No. 3, 673--714 (2020; Zbl 1448.37052) Full Text: DOI arXiv Link
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 PDFBibTeX XMLCite \textit{N. V. Dang} et al., Invent. Math. 220, No. 2, 525--579 (2020; Zbl 1439.37043) Full Text: DOI arXiv
Bullett, Shaun; Lomonaco, Luna Mating quadratic maps with the modular group II. (English) Zbl 1437.37054 Invent. Math. 220, No. 1, 185-210 (2020). Reviewer: Armand Azonnahin (São Paulo) MSC: 37F05 30D05 37F10 37F34 PDFBibTeX XMLCite \textit{S. Bullett} and \textit{L. Lomonaco}, Invent. Math. 220, No. 1, 185--210 (2020; Zbl 1437.37054) Full Text: DOI arXiv
Ou, Dyi-Shing Nonexistence of wandering domains for strongly dissipative infinitely renormalizable Hénon maps at the boundary of chaos. (English) Zbl 1443.37033 Invent. Math. 219, No. 1, 219-280 (2020). Reviewer: Antonio Linero Bas (Murcia) MSC: 37E30 37C05 37C70 37E20 37D45 37C27 PDFBibTeX XMLCite \textit{D.-S. Ou}, Invent. Math. 219, No. 1, 219--280 (2020; Zbl 1443.37033) Full Text: DOI arXiv
Chung, Yong Moo; Rivera-Letelier, Juan; Takahasi, Hiroki Large deviation principle in one-dimensional dynamics. (English) Zbl 1427.37008 Invent. Math. 218, No. 3, 853-888 (2019). MSC: 37A50 37C40 37D25 37D45 37E05 60F10 PDFBibTeX XMLCite \textit{Y. M. Chung} et al., Invent. Math. 218, No. 3, 853--888 (2019; Zbl 1427.37008) Full Text: DOI arXiv
Frisch, Joshua; Tamuz, Omer; Vahidi Ferdowsi, Pooya Strong amenability and the infinite conjugacy class property. (English) Zbl 1429.37018 Invent. Math. 218, No. 3, 833-851 (2019). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37C85 37B02 37B05 22D40 22D25 PDFBibTeX XMLCite \textit{J. Frisch} et al., Invent. Math. 218, No. 3, 833--851 (2019; Zbl 1429.37018) Full Text: DOI arXiv Link
Berger, Pierre Correction to: “Generic family with robustly infinitely many sinks”. (English) Zbl 1441.37029 Invent. Math. 218, No. 2, 649-656 (2019). MSC: 37C20 37C05 37C25 57S05 PDFBibTeX XMLCite \textit{P. Berger}, Invent. Math. 218, No. 2, 649--656 (2019; Zbl 1441.37029) Full Text: DOI
Astorg, Matthieu; Gauthier, Thomas; Mihalache, Nicolae; Vigny, Gabriel Collet, Eckmann and the bifurcation measure. (English) Zbl 1477.37053 Invent. Math. 217, No. 3, 749-797 (2019). MSC: 37F10 32G15 37F46 37F34 PDFBibTeX XMLCite \textit{M. Astorg} et al., Invent. Math. 217, No. 3, 749--797 (2019; Zbl 1477.37053) Full Text: DOI arXiv HAL
Bárány, Balázs; Hochman, Michael; Rapaport, Ariel Hausdorff dimension of planar self-affine sets and measures. (English) Zbl 1414.28014 Invent. Math. 216, No. 3, 601-659 (2019). Reviewer: George Stoica (Saint John) MSC: 28A80 37C45 37F35 PDFBibTeX XMLCite \textit{B. Bárány} et al., Invent. Math. 216, No. 3, 601--659 (2019; Zbl 1414.28014) Full Text: DOI arXiv
Gutiérrez-Romo, Rodolfo Classification of Rauzy-Veech groups: proof of the Zorich conjecture. (English) Zbl 1420.37020 Invent. Math. 215, No. 3, 741-778 (2019). Reviewer: Jayadev Athreya (Seattle) MSC: 37D40 37G15 05C50 PDFBibTeX XMLCite \textit{R. Gutiérrez-Romo}, Invent. Math. 215, No. 3, 741--778 (2019; Zbl 1420.37020) Full Text: DOI arXiv
Eskin, Alex; Mirzakhani, Maryam; Rafi, Kasra Counting closed geodesics in strata. (English) Zbl 1411.37033 Invent. Math. 215, No. 2, 535-607 (2019). Reviewer: Ismail Naci Cangül (Bursa) MSC: 37D40 37C35 53C22 30F30 PDFBibTeX XMLCite \textit{A. Eskin} et al., Invent. Math. 215, No. 2, 535--607 (2019; Zbl 1411.37033) Full Text: DOI arXiv
Seward, Brandon Krieger’s finite generator theorem for actions of countable groups. I. (English) Zbl 1417.37043 Invent. Math. 215, No. 1, 265-310 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 37A15 37A35 22F10 94A15 PDFBibTeX XMLCite \textit{B. Seward}, Invent. Math. 215, No. 1, 265--310 (2019; Zbl 1417.37043) 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 PDFBibTeX XMLCite \textit{J. De Simoi} and \textit{C. Liverani}, Invent. Math. 213, No. 3, 811--1016 (2018; Zbl 1401.37029) Full Text: DOI arXiv
Buhovsky, Lev; Humilière, Vincent; Seyfaddini, Sobhan A \(C^0\) counterexample to the Arnold conjecture. (English) Zbl 1395.37037 Invent. Math. 213, No. 2, 759-809 (2018). Reviewer: Andrew Bucki (Edmond) MSC: 37J05 53D05 53D22 PDFBibTeX XMLCite \textit{L. Buhovsky} et al., Invent. Math. 213, No. 2, 759--809 (2018; Zbl 1395.37037) Full Text: DOI arXiv
Ilyashenko, Yu.; Kudryashov, Yu.; Schurov, I. Global bifurcations in the two-sphere: a new perspective. (English) Zbl 1434.34036 Invent. Math. 213, No. 2, 461-506 (2018). Reviewer: Maite Grau (Lleida) MSC: 34C23 37G99 37E35 34D30 34C40 PDFBibTeX XMLCite \textit{Yu. Ilyashenko} et al., Invent. Math. 213, No. 2, 461--506 (2018; Zbl 1434.34036) Full Text: DOI arXiv
Deroin, Bertrand; Kleptsyn, Victor; Navas, Andrés On the ergodic theory of free group actions by real-analytic circle diffeomorphisms. (English) Zbl 1400.37046 Invent. Math. 212, No. 3, 731-779 (2018). Reviewer: Fernanda Botelho (Memphis) MSC: 37E10 37C85 37A30 22D40 PDFBibTeX XMLCite \textit{B. Deroin} et al., Invent. Math. 212, No. 3, 731--779 (2018; Zbl 1400.37046) Full Text: DOI arXiv
Le Calvez, P.; Tal, F. A. Forcing theory for transverse trajectories of surface homeomorphisms. (English) Zbl 1390.37073 Invent. Math. 212, No. 2, 619-729 (2018). Reviewer: Marta Macho Stadler (Leioa) MSC: 37E30 37C85 55M20 PDFBibTeX XMLCite \textit{P. Le Calvez} and \textit{F. A. Tal}, Invent. Math. 212, No. 2, 619--729 (2018; Zbl 1390.37073) Full Text: DOI arXiv
Bishop, Christopher J. A transcendental Julia set of dimension 1. (English) Zbl 1402.37056 Invent. Math. 212, No. 2, 407-460 (2018). Reviewer: Haifeng Chu (Xi’an) MSC: 37F10 30D05 37F35 28A78 PDFBibTeX XMLCite \textit{C. J. Bishop}, Invent. Math. 212, No. 2, 407--460 (2018; Zbl 1402.37056) Full Text: DOI
Abbondandolo, Alberto; Bramham, Barney; Hryniewicz, Umberto L.; Salomão, Pedro A. S. Sharp systolic inequalities for Reeb flows on the three-sphere. (English) Zbl 1486.53091 Invent. Math. 211, No. 2, 687-778 (2018). Reviewer: Mihail Banaru (Smolensk) MSC: 53D10 53C22 37D40 PDFBibTeX XMLCite \textit{A. Abbondandolo} et al., Invent. Math. 211, No. 2, 687--778 (2018; Zbl 1486.53091) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{V. Baladi} et al., Invent. Math. 211, No. 1, 39--177 (2018; Zbl 1382.37037) Full Text: DOI arXiv
Lomonaco, Luna; Petersen, Carsten Lunde On quasi-conformal (in-) compatibility of satellite copies of the Mandelbrot set. I. (English) Zbl 1385.37067 Invent. Math. 210, No. 2, 615-644 (2017). Reviewer: Federico Quallbrunn (Buenos Aires) MSC: 37F45 37F30 PDFBibTeX XMLCite \textit{L. Lomonaco} and \textit{C. L. Petersen}, Invent. Math. 210, No. 2, 615--644 (2017; Zbl 1385.37067) Full Text: DOI arXiv
Avila, A.; Jitomirskaya, S.; Marx, C. A. Spectral theory of extended Harper’s model and a question by Erdős and Szekeres. (English) Zbl 1380.37019 Invent. Math. 210, No. 1, 283-339 (2017). Reviewer: Guy Jumarie (Montréal) MSC: 37A60 82C22 11P82 37N15 47A10 PDFBibTeX XMLCite \textit{A. Avila} et al., Invent. Math. 210, No. 1, 283--339 (2017; Zbl 1380.37019) 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 PDFBibTeX XMLCite \textit{S. Dyatlov} and \textit{M. Zworski}, Invent. Math. 210, No. 1, 211--229 (2017; Zbl 1382.58022) Full Text: DOI arXiv
Das, Tushar; Simmons, David The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result. (English) Zbl 1387.37026 Invent. Math. 210, No. 1, 85-134 (2017). Reviewer: Lin Shu (Beijing) MSC: 37C45 37C40 37D35 37D20 37C15 PDFBibTeX XMLCite \textit{T. Das} and \textit{D. Simmons}, Invent. Math. 210, No. 1, 85--134 (2017; Zbl 1387.37026) Full Text: DOI arXiv
Mirzakhani, Maryam; Wright, Alex The boundary of an affine invariant submanifold. (English) Zbl 1378.37069 Invent. Math. 209, No. 3, 927-984 (2017). Reviewer: Jayadev Athreya (Seattle) MSC: 37D40 32G15 58A35 PDFBibTeX XMLCite \textit{M. Mirzakhani} and \textit{A. Wright}, Invent. Math. 209, No. 3, 927--984 (2017; Zbl 1378.37069) Full Text: DOI arXiv
Wang, Zhiren Möbius disjointness for analytic skew products. (English) Zbl 1377.37069 Invent. Math. 209, No. 1, 175-196 (2017). Reviewer: Thomas B. Ward (Leeds) MSC: 37E10 11A25 37A35 37B10 37B40 PDFBibTeX XMLCite \textit{Z. Wang}, Invent. Math. 209, No. 1, 175--196 (2017; Zbl 1377.37069) Full Text: DOI arXiv
Oh, Hee; Winter, Dale Prime number theorems and holonomies for hyperbolic rational maps. (English) Zbl 1380.37095 Invent. Math. 208, No. 2, 401-440 (2017). Reviewer: Patrick Ingram (Toronto) MSC: 37F10 37F50 11A41 37C30 37C27 30C25 PDFBibTeX XMLCite \textit{H. Oh} and \textit{D. Winter}, Invent. Math. 208, No. 2, 401--440 (2017; Zbl 1380.37095) Full Text: DOI arXiv
Faure, Frédéric; Tsujii, Masato The semiclassical zeta function for geodesic flows on negatively curved manifolds. (English) Zbl 1379.37054 Invent. Math. 208, No. 3, 851-998 (2017). Reviewer: Patrick Eberlein (Chapel Hill) MSC: 37C30 37D40 37D20 53D25 PDFBibTeX XMLCite \textit{F. Faure} and \textit{M. Tsujii}, Invent. Math. 208, No. 3, 851--998 (2017; Zbl 1379.37054) Full Text: DOI arXiv
Blumenthal, Alex; Young, Lai-Sang Entropy, volume growth and SRB measures for Banach space mappings. (English) Zbl 1366.37121 Invent. Math. 207, No. 2, 833-893 (2017). Reviewer: Daniele Puglisi (Catania) MSC: 37H15 37A05 37C40 32K05 46B09 PDFBibTeX XMLCite \textit{A. Blumenthal} and \textit{L.-S. Young}, Invent. Math. 207, No. 2, 833--893 (2017; Zbl 1366.37121) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. De Simoi} and \textit{C. Liverani}, Invent. Math. 206, No. 1, 147--227 (2016; Zbl 1385.37044) Full Text: DOI arXiv
Avila, Artur; Hubert, Pascal; Skripchenko, Alexandra Diffusion for chaotic plane sections of 3-periodic surfaces. (English) Zbl 1376.37030 Invent. Math. 206, No. 1, 109-146 (2016). Reviewer: Thomas B. Ward (Leeds) MSC: 37B10 37D35 37D25 PDFBibTeX XMLCite \textit{A. Avila} et al., Invent. Math. 206, No. 1, 109--146 (2016; Zbl 1376.37030) Full Text: DOI arXiv
Calvo, J.; Campos, J.; Caselles, V.; Sánchez, O.; Soler, J. Pattern formation in a flux limited reaction-diffusion equation of porous media type. (English) Zbl 1388.35094 Invent. Math. 206, No. 1, 57-108 (2016). Reviewer: Dimitra Antonopoulou (Cheshire) MSC: 35K57 35B36 35K67 34Cxx 70Kxx 35B60 37Dxx 76B15 35Q35 37D50 35Q99 PDFBibTeX XMLCite \textit{J. Calvo} et al., Invent. Math. 206, No. 1, 57--108 (2016; Zbl 1388.35094) Full Text: DOI arXiv
Bonatti, Christian; Gogolev, Andrey; Potrie, Rafael Anomalous partially hyperbolic diffeomorphisms. II: Stably ergodic examples. (English) Zbl 1370.37069 Invent. Math. 206, No. 3, 801-836 (2016). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37D30 37C15 37D20 PDFBibTeX XMLCite \textit{C. Bonatti} et al., Invent. Math. 206, No. 3, 801--836 (2016; Zbl 1370.37069) Full Text: DOI arXiv
Contreras, Gonzalo Ground states are generically a periodic orbit. (English) Zbl 1378.37047 Invent. Math. 205, No. 2, 383-412 (2016). MSC: 37C40 37C05 37C27 37D35 PDFBibTeX XMLCite \textit{G. Contreras}, Invent. Math. 205, No. 2, 383--412 (2016; Zbl 1378.37047) Full Text: DOI arXiv
Levin, Genadi; Przytycki, Feliks; Shen, Weixiao The Lyapunov exponent of holomorphic maps. (English) Zbl 1352.37136 Invent. Math. 205, No. 2, 363-382 (2016). Reviewer: Tao Chen (Long Island City) MSC: 37F10 37F15 37F50 PDFBibTeX XMLCite \textit{G. Levin} et al., Invent. Math. 205, No. 2, 363--382 (2016; Zbl 1352.37136) Full Text: DOI arXiv
Berger, Pierre Generic family with robustly infinitely many sinks. (English) Zbl 1365.37024 Invent. Math. 205, No. 1, 121-172 (2016); correction ibid. 218, No. 2, 649-656 (2019). Reviewer: Christian Fenske (Gießen) MSC: 37C20 37C05 37C25 57S05 PDFBibTeX XMLCite \textit{P. Berger}, Invent. Math. 205, No. 1, 121--172 (2016; Zbl 1365.37024) Full Text: DOI arXiv
Boyland, Philip; de Carvalho, André; Hall, Toby New rotation sets in a family of torus homeomorphisms. (English) Zbl 1417.37157 Invent. Math. 204, No. 3, 895-937 (2016). Reviewer: Juan Campos (Granada) MSC: 37E30 37E45 PDFBibTeX XMLCite \textit{P. Boyland} et al., Invent. Math. 204, No. 3, 895--937 (2016; Zbl 1417.37157) Full Text: DOI arXiv
Inou, Hiroyuki; Mukherjee, Sabyasachi Non-landing parameter rays of the multicorns. (English) Zbl 1407.37074 Invent. Math. 204, No. 3, 869-893 (2016). MSC: 37F45 37F10 37F20 30D05 PDFBibTeX XMLCite \textit{H. Inou} and \textit{S. Mukherjee}, Invent. Math. 204, No. 3, 869--893 (2016; Zbl 1407.37074) Full Text: DOI arXiv
Tiozzo, Giulio Continuity of core entropy of quadratic polynomials. (English) Zbl 1359.37101 Invent. Math. 203, No. 3, 891-921 (2016). Reviewer: Grzegorz Świątek (Warszawa) MSC: 37F10 37F20 37F45 37B40 28D20 PDFBibTeX XMLCite \textit{G. Tiozzo}, Invent. Math. 203, No. 3, 891--921 (2016; Zbl 1359.37101) Full Text: DOI arXiv
Fayad, Bassam; Kanigowski, Adam Multiple mixing for a class of conservative surface flows. (English) Zbl 1358.37018 Invent. Math. 203, No. 2, 555-614 (2016). Reviewer: Hasan Akin (Gaziantep) MSC: 37A30 37E30 37A25 PDFBibTeX XMLCite \textit{B. Fayad} and \textit{A. Kanigowski}, Invent. Math. 203, No. 2, 555--614 (2016; Zbl 1358.37018) Full Text: DOI arXiv
Melbourne, Ian; Terhesiu, Dalia Erratum to: “Operator renewal theory and mixing rates for dynamical systems with infinite measure”. (English) Zbl 1332.37009 Invent. Math. 202, No. 3, 1269-1272 (2015). MSC: 37A40 37A25 37A50 60K05 PDFBibTeX XMLCite \textit{I. Melbourne} and \textit{D. Terhesiu}, Invent. Math. 202, No. 3, 1269--1272 (2015; Zbl 1332.37009) Full Text: DOI arXiv
Cheraghi, Davoud; Chéritat, Arnaud A proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type. (English) Zbl 1337.37034 Invent. Math. 202, No. 2, 677-742 (2015). Reviewer: Feng Rong (Shanghai) MSC: 37F50 37F25 PDFBibTeX XMLCite \textit{D. Cheraghi} and \textit{A. Chéritat}, Invent. Math. 202, No. 2, 677--742 (2015; Zbl 1337.37034) Full Text: DOI arXiv
Avila, Artur; Krikorian, Raphaël Monotonic cocycles. (English) Zbl 1356.37070 Invent. Math. 202, No. 1, 271-331 (2015). Reviewer: Guy Jumarie (Montréal) MSC: 37H05 37D25 PDFBibTeX XMLCite \textit{A. Avila} and \textit{R. Krikorian}, Invent. Math. 202, No. 1, 271--331 (2015; Zbl 1356.37070) Full Text: DOI arXiv
Matheus, Carlos; Möller, Martin; Yoccoz, Jean-Christophe A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces. (English) Zbl 1364.37081 Invent. Math. 202, No. 1, 333-425 (2015). Reviewer: Patrick Eberlein (Chapel Hill) MSC: 37D40 30F30 30F60 32G15 37D25 PDFBibTeX XMLCite \textit{C. Matheus} et al., Invent. Math. 202, No. 1, 333--425 (2015; Zbl 1364.37081) Full Text: DOI arXiv
Baladi, Viviane; Benedicks, Michael; Schnellmann, Daniel Whitney-Hölder continuity of the SRB measure for transversal families of smooth unimodal maps. (English) Zbl 1359.37049 Invent. Math. 201, No. 3, 773-844 (2015). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37C40 37E05 37E20 37C30 PDFBibTeX XMLCite \textit{V. Baladi} et al., Invent. Math. 201, No. 3, 773--844 (2015; Zbl 1359.37049) Full Text: DOI arXiv
Crovisier, Sylvain; Pujals, Enrique R. Essential hyperbolicity and homoclinic bifurcations: a dichotomy phenomenon/mechanism for diffeomorphisms. (English) Zbl 1377.37031 Invent. Math. 201, No. 2, 385-517 (2015). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 37C05 37C20 37C29 37C75 37C70 PDFBibTeX XMLCite \textit{S. Crovisier} and \textit{E. R. Pujals}, Invent. Math. 201, No. 2, 385--517 (2015; Zbl 1377.37031) Full Text: DOI arXiv
Haïssinsky, Peter Hyperbolic groups with planar boundaries. (English) Zbl 1360.20035 Invent. Math. 201, No. 1, 239-307 (2015). MSC: 20F67 20E08 37F30 57M60 30F40 PDFBibTeX XMLCite \textit{P. Haïssinsky}, Invent. Math. 201, No. 1, 239--307 (2015; Zbl 1360.20035) Full Text: DOI arXiv
Dujardin, Romain; Lyubich, Mikhail Stability and bifurcations for dissipative polynomial automorphisms of \(\mathbb C^2\). (English) Zbl 1337.37029 Invent. Math. 200, No. 2, 439-511 (2015). Reviewer: Feng Rong (Shanghai) MSC: 37F10 37G15 32H50 32M17 PDFBibTeX XMLCite \textit{R. Dujardin} and \textit{M. Lyubich}, Invent. Math. 200, No. 2, 439--511 (2015; Zbl 1337.37029) Full Text: DOI arXiv
Nonnenmacher, Stéphane; Zworski, Maciej Decay of correlations for normally hyperbolic trapping. (English) Zbl 1377.37049 Invent. Math. 200, No. 2, 345-438 (2015). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37D20 37D10 37C20 58J45 PDFBibTeX XMLCite \textit{S. Nonnenmacher} and \textit{M. Zworski}, Invent. Math. 200, No. 2, 345--438 (2015; Zbl 1377.37049) Full Text: DOI arXiv
Chung, Nhan-Phu; Li, Hanfeng Homoclinic groups, IE groups, and expansive algebraic actions. (English) Zbl 1320.37009 Invent. Math. 199, No. 3, 805-858 (2015). Reviewer: Anna Giordano Bruno (Udine) MSC: 37B40 22D40 37A15 20C07 43A20 22D15 PDFBibTeX XMLCite \textit{N.-P. Chung} and \textit{H. Li}, Invent. Math. 199, No. 3, 805--858 (2015; Zbl 1320.37009) Full Text: DOI arXiv
Bramham, Barney Pseudo-rotations with sufficiently Liouvillean rotation number are \(C^0\)-rigid. (English) Zbl 1353.37007 Invent. Math. 199, No. 2, 561-580 (2015). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37A25 37C40 37J10 37E45 37B40 PDFBibTeX XMLCite \textit{B. Bramham}, Invent. Math. 199, No. 2, 561--580 (2015; Zbl 1353.37007) Full Text: DOI arXiv
Hryniewicz, Umberto; Momin, Al; Salomão, Pedro A. S. A Poincaré-Birkhoff theorem for tight Reeb flows on \(S^3\). (English) Zbl 1364.37077 Invent. Math. 199, No. 2, 333-422 (2015). Reviewer: Patrick Eberlein (Chapel Hill) MSC: 37D40 53C60 53D42 PDFBibTeX XMLCite \textit{U. Hryniewicz} et al., Invent. Math. 199, No. 2, 333--422 (2015; Zbl 1364.37077) Full Text: DOI arXiv
Le Maître, François The number of topological generators for full groups of ergodic equivalence relations. (English) Zbl 1338.37006 Invent. Math. 198, No. 2, 261-268 (2014). Reviewer: Dogan Çömez (Fargo) MSC: 37A15 37A25 37A20 PDFBibTeX XMLCite \textit{F. Le Maître}, Invent. Math. 198, No. 2, 261--268 (2014; Zbl 1338.37006) Full Text: DOI arXiv
Geiges, Hansjörg; Röttgen, Nena; Zehmisch, Kai Trapped Reeb orbits do not imply periodic ones. (English) Zbl 1304.37019 Invent. Math. 198, No. 1, 211-217 (2014). Reviewer: Manuel de León (Madrid) MSC: 37C27 37C70 53D10 PDFBibTeX XMLCite \textit{H. Geiges} et al., Invent. Math. 198, No. 1, 211--217 (2014; Zbl 1304.37019) Full Text: DOI arXiv
Rodriguez Hertz, Federico; Wang, Zhiren Global rigidity of higher rank abelian Anosov algebraic actions. (English) Zbl 1312.37028 Invent. Math. 198, No. 1, 165-209 (2014). Reviewer: Jan Andres (Olomouc) MSC: 37D20 32A25 37C85 37C15 PDFBibTeX XMLCite \textit{F. Rodriguez Hertz} and \textit{Z. Wang}, Invent. Math. 198, No. 1, 165--209 (2014; Zbl 1312.37028) Full Text: DOI arXiv
Frączek, Krzysztof; Ulcigrai, Corinna Non-ergodic \(\mathbb{Z}\)-periodic billiards and infinite translation surfaces. (English) Zbl 1316.37006 Invent. Math. 197, No. 2, 241-298 (2014). Reviewer: Michael L. Blank (Moskva) MSC: 37A40 37C40 37D50 PDFBibTeX XMLCite \textit{K. Frączek} and \textit{C. Ulcigrai}, Invent. Math. 197, No. 2, 241--298 (2014; Zbl 1316.37006) Full Text: DOI arXiv
Bowen, Lewis Random walks on random coset spaces with applications to Furstenberg entropy. (English) Zbl 1418.37003 Invent. Math. 196, No. 2, 485-510 (2014). MSC: 37A15 37A35 37A50 60G10 05C81 82B41 PDFBibTeX XMLCite \textit{L. Bowen}, Invent. Math. 196, No. 2, 485--510 (2014; Zbl 1418.37003) Full Text: DOI arXiv
Koropecki, Andres; Tal, Fabio Armando Strictly toral dynamics. (English) Zbl 1342.37046 Invent. Math. 196, No. 2, 339-381 (2014). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37E30 37D45 37B20 PDFBibTeX XMLCite \textit{A. Koropecki} and \textit{F. A. Tal}, Invent. Math. 196, No. 2, 339--381 (2014; Zbl 1342.37046) Full Text: DOI arXiv
Boshernitzan, Michael; Chaika, Jon Diophantine properties of iets and general systems: quantitative proximality and connectivity. (English) Zbl 1283.37025 Invent. Math. 192, No. 2, 375-412 (2013). Reviewer: Steve Pederson (Atlanta) MSC: 37B20 37A25 37E05 PDFBibTeX XMLCite \textit{M. Boshernitzan} and \textit{J. Chaika}, Invent. Math. 192, No. 2, 375--412 (2013; Zbl 1283.37025) Full Text: DOI arXiv
Mendel, Manor; Naor, Assaf Ultrametric subsets with large Hausdorff dimension. (English) Zbl 1272.30082 Invent. Math. 192, No. 1, 1-54 (2013). Reviewer: Mikhail Ostrovskii (Queens) MSC: 30L05 46B85 37F35 PDFBibTeX XMLCite \textit{M. Mendel} and \textit{A. Naor}, Invent. Math. 192, No. 1, 1--54 (2013; Zbl 1272.30082) Full Text: DOI arXiv
Yalkinoglu, Bora [Neshveyev, Sergey] On arithmetic models and functoriality of Bost-Connes systems. With an appendix by Sergey Neshveyev. (English) Zbl 1270.46066 Invent. Math. 191, No. 2, 383-425 (2013). Reviewer: Igor V. Nikolaev (Ottawa) MSC: 46L85 11M55 46L55 58B34 PDFBibTeX XMLCite \textit{B. Yalkinoglu}, Invent. Math. 191, No. 2, 383--425 (2013; Zbl 1270.46066) Full Text: DOI arXiv
Hooper, W. Patrick Renormalization of polygon exchange maps arising from corner percolation. (English) Zbl 1286.37043 Invent. Math. 191, No. 2, 255-320 (2013). Reviewer: Maria Fernanda Botelho (Memphis) MSC: 37E20 PDFBibTeX XMLCite \textit{W. P. Hooper}, Invent. Math. 191, No. 2, 255--320 (2013; Zbl 1286.37043) Full Text: DOI arXiv
Deroin, Bertrand; Dujardin, Romain Random walks, Kleinian groups, and bifurcation currents. (English) Zbl 1337.37033 Invent. Math. 190, No. 1, 57-118 (2012). MSC: 37F45 37F30 30F40 60G50 PDFBibTeX XMLCite \textit{B. Deroin} and \textit{R. Dujardin}, Invent. Math. 190, No. 1, 57--118 (2012; Zbl 1337.37033) Full Text: DOI arXiv
Donagi, R.; Pantev, T. Langlands duality for Hitchin systems. (English) Zbl 1263.53078 Invent. Math. 189, No. 3, 653-735 (2012). Reviewer: L. N. Vaserstein (University Park) MSC: 53D18 14D24 37J99 PDFBibTeX XMLCite \textit{R. Donagi} and \textit{T. Pantev}, Invent. Math. 189, No. 3, 653--735 (2012; Zbl 1263.53078) Full Text: DOI arXiv
Melbourne, Ian; Terhesiu, Dalia Operator renewal theory and mixing rates for dynamical systems with infinite measure. (English) Zbl 1263.37011 Invent. Math. 189, No. 1, 61-110 (2012); erratum ibid. 202, No. 3, 1269-1272 (2015). Reviewer: Chryssoula Ganatsiou (Larissa) MSC: 37A40 37A25 37A50 60K05 PDFBibTeX XMLCite \textit{I. Melbourne} and \textit{D. Terhesiu}, Invent. Math. 189, No. 1, 61--110 (2012; Zbl 1263.37011) Full Text: DOI arXiv Link
Selinger, Nikita Thurston’s pullback map on the augmented Teichmüller space and applications. (English) Zbl 1298.37033 Invent. Math. 189, No. 1, 111-142 (2012). Reviewer: Kevin Pilgrim (Bloomington) MSC: 37F30 37F20 30F60 32G15 PDFBibTeX XMLCite \textit{N. Selinger}, Invent. Math. 189, No. 1, 111--142 (2012; Zbl 1298.37033) Full Text: DOI arXiv
Chas, Moira; Lalley, Steven P. Self-intersections in combinatorial topology: statistical structure. (English) Zbl 1252.57002 Invent. Math. 188, No. 2, 429-463 (2012). Reviewer: Michael Joswig (Darmstadt) MSC: 57M05 37D40 60J10 PDFBibTeX XMLCite \textit{M. Chas} and \textit{S. P. Lalley}, Invent. Math. 188, No. 2, 429--463 (2012; Zbl 1252.57002) Full Text: DOI arXiv
Kerr, David; Li, Hanfeng Entropy and the variational principle for actions of sofic groups. (English) Zbl 1417.37041 Invent. Math. 186, No. 3, 501-558 (2011). MSC: 37A15 37A35 37A55 22D25 37B40 22F10 22D40 28D15 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, Invent. Math. 186, No. 3, 501--558 (2011; Zbl 1417.37041) Full Text: DOI arXiv