# zbMATH — the first resource for mathematics

## Zorich, Anton

Compute Distance To:
 Author ID: zorich.anton Published as: Zorich, A.; Zorich, Anton External Links: MGP · Wikidata · ORCID
 Documents Indexed: 37 Publications since 1992, including 1 Book
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#### 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
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#### 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
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#### 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)

#### 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 1087.32010
Kontsevich, Maxim; Zorich, Anton
2003
Flat surfaces. Zbl 1129.32012
Zorich, Anton
2006
Moduli spaces of Abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants. Zbl 1037.32013
Eskin, Alex; Masur, Howard; Zorich, Anton
2003
Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow. Zbl 1305.32007
Eskin, Alex; Kontsevich, Maxim; Zorich, Anton
2014
Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents. Zbl 0853.28007
Zorich, Anton
1996
Deviation for interval exchange transformations. Zbl 0958.37002
Zorich, Anton
1997
How do the leaves of a closed 1-form wind around a surface? Zbl 0976.37012
Zorich, Anton
1999
Multiple saddle connections on flat surfaces and the principal boundry of the moduli spaces of quadratic differentials. Zbl 1169.30017
Masur, Howard; Zorich, Anton
2008
Lyapunov spectrum of invariant subbundles of the Hodge bundle. Zbl 1290.37002
Forni, Giovanni; Matheus, Carlos; Zorich, Anton
2014
Lyapunov spectrum of square-tiled cyclic covers. Zbl 1254.32019
Eskin, Alex; Kontsevich, Maxim; Zorich, Anton
2011
Square tiled surfaces and Teichmüller volumes of the moduli spaces of Abelian differentials. Zbl 1038.37015
Zorich, Anton
2002
Square-tiled cyclic covers. Zbl 1276.37021
Forni, Giovanni; Matheus, Carlos; Zorich, Anton
2011
Right-angled billiards and volumes of moduli spaces of quadratic differentials on $$\mathbb{C}\mathrm{P}^1$$. Zbl 1372.32020
Athreya, Jayadev S.; Eskin, Alex; Zorich, Anton
2016
Zero Lyapunov exponents of the Hodge bundle. Zbl 1316.32010
Forni, Giovanni; Matheus, Carlos; Zorich, Anton
2014
Explicit Jenkins-Strebel representatives of all strata of Abelian and quadratic differentials. Zbl 1149.30033
Zorich, Anton
2008
Volumes of strata of abelian differentials and Siegel-Veech constants in large genera. Zbl 1342.32012
Eskin, Alex; Zorich, Anton
2015
Problems on billiards, flat surfaces and translation surfaces. Zbl 1307.37019
Hubert, Pascal; Masur, Howard; Schmidt, Thomas; Zorich, Anton
2006
Lower bounds for Lyapunov exponents of flat bundles on curves. Zbl 1386.37036
Eskin, Alex; Kontsevich, Maxim; Möller, Martin; Zorich, Anton
2018
Asymptotic flag of an orientable measured foliation. Zbl 0909.58033
Zorich, Anton
1993
Enumeration of meanders and Masur-Veech volumes. Zbl 1436.32055
Delecroix, Vincent; Goujard, Élise; Zograf, Peter; Zorich, Anton
2020
Counting generalized Jenkins-Strebel differentials. Zbl 1290.32012
Athreya, Jayadev S.; Eskin, Alex; Zorich, Anton
2014
On hyperplane sections of periodic surfaces. Zbl 1055.37525
Zorich, Anton
1997
The magic wand theorem of A. Eskin and M. Mirzakhani. Zbl 1358.37003
Zorich, Anton
2014
Pseudoperiodic topology. With a preface (ix–xii) by V. I. Arnold. Zbl 0931.00017
Arnold, V. (ed.); Kontsevich, M. (ed.); Zorich, A. (ed.)
1999
Geodesics on flat surfaces. Zbl 1113.32004
Zorich, Anton
2006
Inversion of horospherical integral transform on real semisimple Lie groups. Zbl 0925.43001
Zorich, Anton
1992
Enumeration of meanders and Masur-Veech volumes. Zbl 1436.32055
Delecroix, Vincent; Goujard, Élise; Zograf, Peter; Zorich, Anton
2020
Lower bounds for Lyapunov exponents of flat bundles on curves. Zbl 1386.37036
Eskin, Alex; Kontsevich, Maxim; Möller, Martin; Zorich, Anton
2018
Right-angled billiards and volumes of moduli spaces of quadratic differentials on $$\mathbb{C}\mathrm{P}^1$$. Zbl 1372.32020
Athreya, Jayadev S.; Eskin, Alex; Zorich, Anton
2016
Volumes of strata of abelian differentials and Siegel-Veech constants in large genera. Zbl 1342.32012
Eskin, Alex; Zorich, Anton
2015
Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow. Zbl 1305.32007
Eskin, Alex; Kontsevich, Maxim; Zorich, Anton
2014
Lyapunov spectrum of invariant subbundles of the Hodge bundle. Zbl 1290.37002
Forni, Giovanni; Matheus, Carlos; Zorich, Anton
2014
Zero Lyapunov exponents of the Hodge bundle. Zbl 1316.32010
Forni, Giovanni; Matheus, Carlos; Zorich, Anton
2014
Counting generalized Jenkins-Strebel differentials. Zbl 1290.32012
Athreya, Jayadev S.; Eskin, Alex; Zorich, Anton
2014
The magic wand theorem of A. Eskin and M. Mirzakhani. Zbl 1358.37003
Zorich, Anton
2014
Lyapunov spectrum of square-tiled cyclic covers. Zbl 1254.32019
Eskin, Alex; Kontsevich, Maxim; Zorich, Anton
2011
Square-tiled cyclic covers. Zbl 1276.37021
Forni, Giovanni; Matheus, Carlos; Zorich, Anton
2011
Multiple saddle connections on flat surfaces and the principal boundry of the moduli spaces of quadratic differentials. Zbl 1169.30017
Masur, Howard; Zorich, Anton
2008
Explicit Jenkins-Strebel representatives of all strata of Abelian and quadratic differentials. Zbl 1149.30033
Zorich, Anton
2008
Flat surfaces. Zbl 1129.32012
Zorich, Anton
2006
Problems on billiards, flat surfaces and translation surfaces. Zbl 1307.37019
Hubert, Pascal; Masur, Howard; Schmidt, Thomas; Zorich, Anton
2006
Geodesics on flat surfaces. Zbl 1113.32004
Zorich, Anton
2006
Connected components of the moduli spaces of Abelian differentials with prescribed singularities. Zbl 1087.32010
Kontsevich, Maxim; Zorich, Anton
2003
Moduli spaces of Abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants. Zbl 1037.32013
Eskin, Alex; Masur, Howard; Zorich, Anton
2003
Square tiled surfaces and Teichmüller volumes of the moduli spaces of Abelian differentials. Zbl 1038.37015
Zorich, Anton
2002
How do the leaves of a closed 1-form wind around a surface? Zbl 0976.37012
Zorich, Anton
1999
Pseudoperiodic topology. With a preface (ix–xii) by V. I. Arnold. Zbl 0931.00017
Arnold, V. (ed.); Kontsevich, M. (ed.); Zorich, A. (ed.)
1999
Deviation for interval exchange transformations. Zbl 0958.37002
Zorich, Anton
1997
On hyperplane sections of periodic surfaces. Zbl 1055.37525
Zorich, Anton
1997
Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents. Zbl 0853.28007
Zorich, Anton
1996
Asymptotic flag of an orientable measured foliation. Zbl 0909.58033
Zorich, Anton
1993
Inversion of horospherical integral transform on real semisimple Lie groups. Zbl 0925.43001
Zorich, Anton
1992
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#### 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
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#### 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.
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#### 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)

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