Edit Profile Zorich, Anton Compute Distance To: Compute Author ID: zorich.anton Published as: Zorich, A.; Zorich, Anton External Links: MGP · Wikidata · ORCID Documents Indexed: 37 Publications since 1992, including 1 Book all top 5 Co-Authors 12 single-authored 8 Eskin, Alex 6 Masur, Howard A. 5 Kontsevich, Maxim Lvovich 4 Delecroix, Vincent 4 Möller, Martin 3 Forni, Giovanni 3 Goujard, Elise 3 Matheus, Carlos 3 Zograf, Peter 2 Athreya, Jayadev S. 1 Aggarwal, Amol 1 Arnol’d, Vladimir Igorevich 1 Barcelo, Hélène 1 Beheshti, Roya 1 Coskun, Izzet 1 de Melo, Welington 1 DeMarco, Laura Grace 1 Dumas, David 1 Eisenbud, David 1 Grushevsky, Samuel 1 Hamenstädt, Ursula 1 Hubert, Pascal 1 Lindenstrauss, Elon 1 Poonen, Bjorn 1 Quasterl, Jeremy 1 Sapir, Eugenia 1 Sarnak, Peter Clive 1 Schmidt, Thomas A. 1 Wolpert, Scott A. 1 Wright, Alex all top 5 Serials 3 Oberwolfach Reports 3 Journal of Modern Dynamics 2 Publications Mathématiques 2 Ergodic Theory and Dynamical Systems 2 Notices of the American Mathematical Society 2 Arnold Mathematical Journal 1 International Journal of Modern Physics A 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Gazette des Mathématiciens 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Geometric and Functional Analysis. GAFA 1 European Mathematical Society Newsletter 1 Geometry & Topology 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Forum of Mathematics, Pi 1 Translations. Series 2. American Mathematical Society all top 5 Fields 24 Dynamical systems and ergodic theory (37-XX) 19 Several complex variables and analytic spaces (32-XX) 17 Functions of a complex variable (30-XX) 7 Manifolds and cell complexes (57-XX) 6 Algebraic geometry (14-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 26 Publications have been cited 678 times in 333 Documents Cited by ▼ Year ▼ Connected components of the moduli spaces of Abelian differentials with prescribed singularities. Zbl 1087.32010Kontsevich, Maxim; Zorich, Anton 158 2003 Flat surfaces. Zbl 1129.32012Zorich, Anton 110 2006 Moduli spaces of Abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants. Zbl 1037.32013Eskin, Alex; Masur, Howard; Zorich, Anton 64 2003 Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow. Zbl 1305.32007Eskin, Alex; Kontsevich, Maxim; Zorich, Anton 54 2014 Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents. Zbl 0853.28007Zorich, Anton 52 1996 Deviation for interval exchange transformations. Zbl 0958.37002Zorich, Anton 36 1997 How do the leaves of a closed 1-form wind around a surface? Zbl 0976.37012Zorich, Anton 33 1999 Multiple saddle connections on flat surfaces and the principal boundry of the moduli spaces of quadratic differentials. Zbl 1169.30017Masur, Howard; Zorich, Anton 18 2008 Lyapunov spectrum of invariant subbundles of the Hodge bundle. Zbl 1290.37002Forni, Giovanni; Matheus, Carlos; Zorich, Anton 17 2014 Lyapunov spectrum of square-tiled cyclic covers. Zbl 1254.32019Eskin, Alex; Kontsevich, Maxim; Zorich, Anton 17 2011 Square tiled surfaces and Teichmüller volumes of the moduli spaces of Abelian differentials. Zbl 1038.37015Zorich, Anton 17 2002 Square-tiled cyclic covers. Zbl 1276.37021Forni, Giovanni; Matheus, Carlos; Zorich, Anton 14 2011 Right-angled billiards and volumes of moduli spaces of quadratic differentials on \(\mathbb{C}\mathrm{P}^1\). Zbl 1372.32020Athreya, Jayadev S.; Eskin, Alex; Zorich, Anton 13 2016 Zero Lyapunov exponents of the Hodge bundle. Zbl 1316.32010Forni, Giovanni; Matheus, Carlos; Zorich, Anton 11 2014 Explicit Jenkins-Strebel representatives of all strata of Abelian and quadratic differentials. Zbl 1149.30033Zorich, Anton 11 2008 Volumes of strata of abelian differentials and Siegel-Veech constants in large genera. Zbl 1342.32012Eskin, Alex; Zorich, Anton 9 2015 Problems on billiards, flat surfaces and translation surfaces. Zbl 1307.37019Hubert, Pascal; Masur, Howard; Schmidt, Thomas; Zorich, Anton 9 2006 Lower bounds for Lyapunov exponents of flat bundles on curves. Zbl 1386.37036Eskin, Alex; Kontsevich, Maxim; Möller, Martin; Zorich, Anton 7 2018 Asymptotic flag of an orientable measured foliation. Zbl 0909.58033Zorich, Anton 7 1993 Enumeration of meanders and Masur-Veech volumes. Zbl 1436.32055Delecroix, Vincent; Goujard, Élise; Zograf, Peter; Zorich, Anton 6 2020 Counting generalized Jenkins-Strebel differentials. Zbl 1290.32012Athreya, Jayadev S.; Eskin, Alex; Zorich, Anton 5 2014 On hyperplane sections of periodic surfaces. Zbl 1055.37525Zorich, Anton 4 1997 The magic wand theorem of A. Eskin and M. Mirzakhani. Zbl 1358.37003Zorich, Anton 2 2014 Pseudoperiodic topology. With a preface (ix–xii) by V. I. Arnold. Zbl 0931.00017Arnold, V. (ed.); Kontsevich, M. (ed.); Zorich, A. (ed.) 2 1999 Geodesics on flat surfaces. Zbl 1113.32004Zorich, Anton 1 2006 Inversion of horospherical integral transform on real semisimple Lie groups. Zbl 0925.43001Zorich, Anton 1 1992 Enumeration of meanders and Masur-Veech volumes. Zbl 1436.32055Delecroix, Vincent; Goujard, Élise; Zograf, Peter; Zorich, Anton 6 2020 Lower bounds for Lyapunov exponents of flat bundles on curves. Zbl 1386.37036Eskin, Alex; Kontsevich, Maxim; Möller, Martin; Zorich, Anton 7 2018 Right-angled billiards and volumes of moduli spaces of quadratic differentials on \(\mathbb{C}\mathrm{P}^1\). Zbl 1372.32020Athreya, Jayadev S.; Eskin, Alex; Zorich, Anton 13 2016 Volumes of strata of abelian differentials and Siegel-Veech constants in large genera. Zbl 1342.32012Eskin, Alex; Zorich, Anton 9 2015 Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow. Zbl 1305.32007Eskin, Alex; Kontsevich, Maxim; Zorich, Anton 54 2014 Lyapunov spectrum of invariant subbundles of the Hodge bundle. Zbl 1290.37002Forni, Giovanni; Matheus, Carlos; Zorich, Anton 17 2014 Zero Lyapunov exponents of the Hodge bundle. Zbl 1316.32010Forni, Giovanni; Matheus, Carlos; Zorich, Anton 11 2014 Counting generalized Jenkins-Strebel differentials. Zbl 1290.32012Athreya, Jayadev S.; Eskin, Alex; Zorich, Anton 5 2014 The magic wand theorem of A. Eskin and M. Mirzakhani. Zbl 1358.37003Zorich, Anton 2 2014 Lyapunov spectrum of square-tiled cyclic covers. Zbl 1254.32019Eskin, Alex; Kontsevich, Maxim; Zorich, Anton 17 2011 Square-tiled cyclic covers. Zbl 1276.37021Forni, Giovanni; Matheus, Carlos; Zorich, Anton 14 2011 Multiple saddle connections on flat surfaces and the principal boundry of the moduli spaces of quadratic differentials. Zbl 1169.30017Masur, Howard; Zorich, Anton 18 2008 Explicit Jenkins-Strebel representatives of all strata of Abelian and quadratic differentials. Zbl 1149.30033Zorich, Anton 11 2008 Flat surfaces. Zbl 1129.32012Zorich, Anton 110 2006 Problems on billiards, flat surfaces and translation surfaces. Zbl 1307.37019Hubert, Pascal; Masur, Howard; Schmidt, Thomas; Zorich, Anton 9 2006 Geodesics on flat surfaces. Zbl 1113.32004Zorich, Anton 1 2006 Connected components of the moduli spaces of Abelian differentials with prescribed singularities. Zbl 1087.32010Kontsevich, Maxim; Zorich, Anton 158 2003 Moduli spaces of Abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants. Zbl 1037.32013Eskin, Alex; Masur, Howard; Zorich, Anton 64 2003 Square tiled surfaces and Teichmüller volumes of the moduli spaces of Abelian differentials. Zbl 1038.37015Zorich, Anton 17 2002 How do the leaves of a closed 1-form wind around a surface? Zbl 0976.37012Zorich, Anton 33 1999 Pseudoperiodic topology. With a preface (ix–xii) by V. I. Arnold. Zbl 0931.00017Arnold, V. (ed.); Kontsevich, M. (ed.); Zorich, A. (ed.) 2 1999 Deviation for interval exchange transformations. Zbl 0958.37002Zorich, Anton 36 1997 On hyperplane sections of periodic surfaces. Zbl 1055.37525Zorich, Anton 4 1997 Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents. Zbl 0853.28007Zorich, Anton 52 1996 Asymptotic flag of an orientable measured foliation. Zbl 0909.58033Zorich, Anton 7 1993 Inversion of horospherical integral transform on real semisimple Lie groups. Zbl 0925.43001Zorich, Anton 1 1992 all cited Publications top 5 cited Publications all top 5 Cited by 284 Authors 15 Eskin, Alex 15 Möller, Martin 13 Hubert, Pascal 12 Chen, Dawei 11 Ulcigrai, Corinna 10 Avila Cordeiro de Melo, Artur 10 Bufetov, Aleksandr Igorevich 10 Matheus, Carlos 10 Nguyen, Duc-Manh 10 Wright, Alex 10 Yoccoz, Jean-Christophe 8 Frączek, Krzysztof Marek 8 McMullen, Curtis Tracy 8 Zorich, Anton 7 Lanneau, Erwan 7 Weiss, Barak 6 Athreya, Jayadev S. 6 Boissy, Corentin 6 Chaika, Jonathan 6 Delecroix, Vincent 6 Ferenczi, Sébastien 6 Filip, Simion 6 Goujard, Elise 6 Kokotov, Aleksey 6 Korotkin, Dmitrii A. 5 Aulicino, David 5 Bainbridge, Matt 5 Hooper, W. Patrick 5 Marmi, Stefano 5 Masur, Howard A. 5 Mirzakhani, Maryam 5 Schmoll, Martin Johannes 5 Zograf, Peter 4 Berthé, Valérie 4 Forni, Giovanni 4 Hillairet, Luc 4 Lelièvre, Samuel 4 Marchese, Luca 4 Sauvaget, Adrien 4 Schmidt, Thomas A. 4 Solomyak, Boris 4 Treviño, Rodrigo 3 Aggarwal, Amol 3 De Lellis, Camillo 3 Ghazouani, Selim 3 Gouëzel, Sébastien 3 Gutiérrez-Romo, Rodolfo 3 Kanigowski, Adam 3 Kułaga-Przymus, Joanna 3 Lindsey, Kathryn A. 3 Magee, Michael 3 Moussa, Pierre 3 Pfaff, Catherine 3 Skripchenko, Alexandra 3 Smillie, John 3 Tahar, Guillaume 3 Zagier, Don Bernard 2 Apisa, Paul 2 Araújo, Vítor 2 Bastianelli, Francesco 2 Bertola, Marco 2 Bressaud, Xavier 2 Bullock, Evan M. 2 Chen, Qile 2 Cheung, Yitwah 2 Dozier, Benjamin 2 Dragović, Vladimir 2 Dynnikov, Ivan Alekseevich 2 Edelman, Mark 2 Fedosova, Ksenia 2 Fickenscher, Jon 2 Fraczek, Krzysztof 2 Gadre, Vaibhav S. 2 Gendron, Quentin 2 Inoue, Kae 2 Johnson, Charles Christopher 2 Judge, Christopher M. 2 Kappes, André 2 Kim, Donghan 2 Kontsevich, Maxim Lvovich 2 Maass, Alejandro 2 Mal’tsev, Andreĭ Yakovlevich 2 Martínez, Matilde 2 Monteil, Thierry 2 Muciño-Raymundo, Jesús 2 Mukamel, Ronen Eliahu 2 Mullane, Scott 2 Nakada, Hitoshi 2 Novak, Christopher F. 2 Novikov, Sergeĭ Petrovich 2 Pandharipande, Rahul 2 Pohl, Anke D. 2 Radnović, Milena 2 Rühr, Rene 2 Soler López, Gabriel 2 Spadaro, Emanuele Nunzio 2 Spolaor, Luca 2 Verjovsky, Alberto 2 Walker, Katharine C. 2 Weitze-Schmithüsen, Gabriela ...and 184 more Authors all top 5 Cited in 96 Serials 22 Geometriae Dedicata 19 Journal of Modern Dynamics 18 Geometric and Functional Analysis. GAFA 16 Annales de l’Institut Fourier 16 Ergodic Theory and Dynamical Systems 16 Geometry & Topology 14 Duke Mathematical Journal 12 Israel Journal of Mathematics 11 Communications in Mathematical Physics 11 Inventiones Mathematicae 10 Mathematische Annalen 9 Advances in Mathematics 9 Annals of Mathematics. Second Series 6 Publications Mathématiques 6 Journal of the American Mathematical Society 5 Mathematische Zeitschrift 5 Transactions of the American Mathematical Society 5 Journal of the European Mathematical Society (JEMS) 4 Bulletin of the American Mathematical Society. New Series 3 Journal d’Analyse Mathématique 3 Bulletin de la Société Mathématique de France 3 Manuscripta Mathematica 3 Proceedings of the American Mathematical Society 3 Selecta Mathematica. New Series 3 Conformal Geometry and Dynamics 3 Chaos 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of the Institute of Mathematics of Jussieu 3 Arnold Mathematical Journal 2 Acta Mathematica 2 Journal of Differential Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Theoretical Computer Science 2 Physica D 2 The Journal of Geometric Analysis 2 Discrete and Continuous Dynamical Systems 2 Doklady Mathematics 2 Annales Henri Poincaré 2 Algebraic & Geometric Topology 2 Dynamical Systems 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Proceedings of the Steklov Institute of Mathematics 2 Groups, Geometry, and Dynamics 2 Journal of Topology and Analysis 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal de l’École Polytechnique – Mathématiques 1 International Journal of Modern Physics B 1 Discrete Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Commentarii Mathematici Helvetici 1 Commentationes Mathematicae Universitatis Carolinae 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Proceedings of the London Mathematical Society. Third Series 1 Tokyo Journal of Mathematics 1 Transactions of the Moscow Mathematical Society 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 L’Enseignement Mathématique. 2e Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 International Journal of Modern Physics D 1 Journal de Théorie des Nombres de Bordeaux 1 Russian Journal of Mathematical Physics 1 Annales Mathématiques Blaise Pascal 1 Journal of Difference Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 The Ramanujan Journal 1 Mathematical Physics, Analysis and Geometry 1 Communications in Contemporary Mathematics 1 Functional Analysis and Other Mathematics 1 Journal of Homotopy and Related Structures 1 Algebra & Number Theory 1 Science China. Mathematics 1 Forum of Mathematics, Pi 1 Annals of PDE 1 Bollettino dell’Unione Matematica Italiana 1 Actes des Rencontres du C.I.R.M. all top 5 Cited in 41 Fields 191 Dynamical systems and ergodic theory (37-XX) 117 Functions of a complex variable (30-XX) 114 Several complex variables and analytic spaces (32-XX) 83 Algebraic geometry (14-XX) 36 Manifolds and cell complexes (57-XX) 29 Number theory (11-XX) 18 Differential geometry (53-XX) 18 Global analysis, analysis on manifolds (58-XX) 16 Combinatorics (05-XX) 8 Topological groups, Lie groups (22-XX) 8 Geometry (51-XX) 8 Computer science (68-XX) 7 Group theory and generalizations (20-XX) 7 Measure and integration (28-XX) 6 Convex and discrete geometry (52-XX) 5 Partial differential equations (35-XX) 5 Quantum theory (81-XX) 4 General topology (54-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 History and biography (01-XX) 2 Category theory; homological algebra (18-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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