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## Veech, William Austin

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 Author ID: veech.william-a Published as: Veech, W.; Veech, W. A.; Veech, William A. Homepage: http://report.rice.edu/sir/faculty.detail?p=A6B7D13019ABFD4C External Links: MGP · Wikidata
 Documents Indexed: 65 Publications since 1963, including 1 Book Biographic References: 1 Publication
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#### Co-Authors

 64 single-authored 1 Arveson, William Barnes 1 Katznelson, Yitzhak 1 McCarthy, John Edward 1 Medina, Herbert A. 1 Merrill, Kathy D. 1 Sarason, Donald Erik 1 Tanaka, Junichi 1 Wermer, John 1 Zabihi, Farhad
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#### Serials

 11 American Journal of Mathematics 6 Annals of Mathematics. Second Series 3 Israel Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Monatshefte für Mathematik 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 3 Proceedings of the National Academy of Sciences of the United States of America 3 Bulletin of the American Mathematical Society 2 Inventiones Mathematicae 2 Geometric and Functional Analysis. GAFA 1 Houston Journal of Mathematics 1 Archiv der Mathematik 1 Mathematica Scandinavica 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 Note di Matematica 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Notices of the American Mathematical Society 1 Moscow Mathematical Journal 1 Journal of Modern Dynamics
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#### Fields

 18 Measure and integration (28-XX) 18 Dynamical systems and ergodic theory (37-XX) 11 Functions of a complex variable (30-XX) 10 Number theory (11-XX) 10 Several complex variables and analytic spaces (32-XX) 6 Abstract harmonic analysis (43-XX) 5 Topological groups, Lie groups (22-XX) 5 General topology (54-XX) 4 Probability theory and stochastic processes (60-XX) 3 Potential theory (31-XX) 3 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

53 Publications have been cited 1,342 times in 880 Documents Cited by Year
Gauss measures for transformations on the space of interval exchange maps. Zbl 0486.28014
Veech, William A.
1982
Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards. Zbl 0676.32006
Veech, W. A.
1989
Almost automorphic functions on groups. Zbl 0137.05803
Veech, W. A.
1965
Interval exchange transformations. Zbl 0455.28006
Veech, William A.
1978
Topological dynamics. Zbl 0384.28018
Veech, William A.
1977
The Teichmüller geodesic flow. Zbl 0658.32016
Veech, William A.
1986
Strict ergodicity in zero dimensional dynamical systems and the Kronecker-Weyl theorem $$\bmod 2$$. Zbl 0201.05601
Veech, William A.
1969
The metric theory of interval exchange transformations. I: Generic spectral properties. Zbl 0631.28006
Veech, William A.
1984
Point-distal flows. Zbl 0202.55503
Veech, W. A.
1970
Moduli spaces of quadratic differentials. Zbl 0722.30032
Veech, William A.
1990
Siegel measures. Zbl 0922.22003
Veech, William A.
1998
The equicontinuous structure relation for minimal abelian transformation groups. Zbl 0177.51204
Veech, W. A.
1968
A criterion for a process to be prime. Zbl 0499.28016
Veech, William A.
1982
The billiard in a regular polygon. Zbl 0760.58036
Veech, William A.
1992
Almost automorphic functions. Zbl 0173.33402
Veech, W. A.
1963
Geometric realizations of hyperelliptic curves. Zbl 0859.30039
Veech, William A.
1995
Finite group extensions of irrational rotations. Zbl 0334.28014
Veech, William A.
1975
The metric theory of interval exchange transformations. III: The Sah- Arnoux-Fathi invariant. Zbl 0631.28008
Veech, William A.
1984
Unique ergodicity of horospherical flows. Zbl 0365.28012
Veech, William A.
1977
On a theorem of Bochner. Zbl 0155.40502
Veech, W. A.
1967
Short proof of Sobczyk’s theorem. Zbl 0213.39402
Veech, W. A.
1971
Boshernitzan’s criterion for unique ergodicity of an interval exchange transformation. Zbl 0657.28012
Veech, William A.
1987
Some questions of uniform distribution. Zbl 0226.43001
Veech, William A.
1971
A second course in complex analysis. Zbl 0145.29901
Veech, W. A.
1967
Flat surfaces. Zbl 0803.30037
Veech, William A.
1993
Periodic points and invariant pseudomeasures for toral endomorphisms. Zbl 0616.28009
Veech, William A.
1986
Weakly almost periodic functions on semisimple Lie groups. Zbl 0438.43009
Veech, William A.
1979
Erratum to: “Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards”. Zbl 0709.32014
Veech, W. A.
1991
A converse to the mean value theorem for harmonic functions. Zbl 0324.31002
Veech, William A.
1976
A zero-one law for a class of random walks and a converse to Gauss’ mean value theorem. Zbl 0282.60048
Veech, William A.
1973
Well distributed sequences of integers. Zbl 0229.10019
Veech, William A.
1971
The metric theory of interval exchange transformations. II: Approximation by primitive interval exchanges. Zbl 0631.28007
Veech, William A.
1984
A fixed point theorem-free approach to weak almost periodicity. Zbl 0286.43009
Veech, William A.
1973
Möbius orthogonality for generalized Morse-Kakutani flows. Zbl 1381.37006
Veech, William A.
2017
Measures supported on the set of uniquely ergodic directions of an arbitrary holomorphic 1-form. Zbl 0996.37060
Veech, William A.
1999
The necessity of Harris’ condition for the existence of a stationary measure. Zbl 0126.33902
Veech, W.
1963
Delaunay partitions. Zbl 0954.32009
Veech, W. A.
1997
Quasiminimal invariants for foliations of orientable closed surfaces. Zbl 0697.57012
Veech, William A.
1989
Ergodic theory and uniform distribution. Zbl 0401.10062
Veech, William A.
1979
Minimality of horospherical flows. Zbl 0334.28013
Veech, William A.
1975
Bicuspid $$F$$-structures and Hecke groups. Zbl 1238.32013
Veech, William A.
2011
Decoding Rauzy induction: Bufetov’s question. Zbl 1213.37066
Veech, William A.
2010
A converse to Gauss’ theorem. Zbl 0235.31013
Veech, William A.
1972
Properties of minimal functions on Abelian groups. Zbl 0206.42804
Veech, W. A.
1969
Minimal transformation groups with distal points. Zbl 0177.51301
Veech, W. A.
1969
A Kronecker-Weyl theorem modulo 2. Zbl 0175.33201
Veech, William A.
1968
Invariant distributions for interval exchange transformations. Zbl 1264.32008
Veech, William A.
2012
Martin boundary for the similarity walk in a planar triangle. Zbl 1255.60130
Veech, William A.
2012
The Forni cocycle. Zbl 1161.37008
Veech, William A.
2008
Abel’s formula and $$\beta$$-duality in sequence spaces. Zbl 0802.46022
Veech, William A.
1991
Complementation and continuity in spaces of almost automorphic functions. Zbl 0203.44201
Veech, W. A.
1969
A moment theorem. Zbl 0169.46301
Veech, W. A.
1968
Almost automorphy and a theorem of Loomis. Zbl 0155.40501
Veech, W. A.
1967
Möbius orthogonality for generalized Morse-Kakutani flows. Zbl 1381.37006
Veech, William A.
2017
Invariant distributions for interval exchange transformations. Zbl 1264.32008
Veech, William A.
2012
Martin boundary for the similarity walk in a planar triangle. Zbl 1255.60130
Veech, William A.
2012
Bicuspid $$F$$-structures and Hecke groups. Zbl 1238.32013
Veech, William A.
2011
Decoding Rauzy induction: Bufetov’s question. Zbl 1213.37066
Veech, William A.
2010
The Forni cocycle. Zbl 1161.37008
Veech, William A.
2008
Measures supported on the set of uniquely ergodic directions of an arbitrary holomorphic 1-form. Zbl 0996.37060
Veech, William A.
1999
Siegel measures. Zbl 0922.22003
Veech, William A.
1998
Delaunay partitions. Zbl 0954.32009
Veech, W. A.
1997
Geometric realizations of hyperelliptic curves. Zbl 0859.30039
Veech, William A.
1995
Flat surfaces. Zbl 0803.30037
Veech, William A.
1993
The billiard in a regular polygon. Zbl 0760.58036
Veech, William A.
1992
Erratum to: “Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards”. Zbl 0709.32014
Veech, W. A.
1991
Abel’s formula and $$\beta$$-duality in sequence spaces. Zbl 0802.46022
Veech, William A.
1991
Moduli spaces of quadratic differentials. Zbl 0722.30032
Veech, William A.
1990
Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards. Zbl 0676.32006
Veech, W. A.
1989
Quasiminimal invariants for foliations of orientable closed surfaces. Zbl 0697.57012
Veech, William A.
1989
Boshernitzan’s criterion for unique ergodicity of an interval exchange transformation. Zbl 0657.28012
Veech, William A.
1987
The Teichmüller geodesic flow. Zbl 0658.32016
Veech, William A.
1986
Periodic points and invariant pseudomeasures for toral endomorphisms. Zbl 0616.28009
Veech, William A.
1986
The metric theory of interval exchange transformations. I: Generic spectral properties. Zbl 0631.28006
Veech, William A.
1984
The metric theory of interval exchange transformations. III: The Sah- Arnoux-Fathi invariant. Zbl 0631.28008
Veech, William A.
1984
The metric theory of interval exchange transformations. II: Approximation by primitive interval exchanges. Zbl 0631.28007
Veech, William A.
1984
Gauss measures for transformations on the space of interval exchange maps. Zbl 0486.28014
Veech, William A.
1982
A criterion for a process to be prime. Zbl 0499.28016
Veech, William A.
1982
Weakly almost periodic functions on semisimple Lie groups. Zbl 0438.43009
Veech, William A.
1979
Ergodic theory and uniform distribution. Zbl 0401.10062
Veech, William A.
1979
Interval exchange transformations. Zbl 0455.28006
Veech, William A.
1978
Topological dynamics. Zbl 0384.28018
Veech, William A.
1977
Unique ergodicity of horospherical flows. Zbl 0365.28012
Veech, William A.
1977
A converse to the mean value theorem for harmonic functions. Zbl 0324.31002
Veech, William A.
1976
Finite group extensions of irrational rotations. Zbl 0334.28014
Veech, William A.
1975
Minimality of horospherical flows. Zbl 0334.28013
Veech, William A.
1975
A zero-one law for a class of random walks and a converse to Gauss’ mean value theorem. Zbl 0282.60048
Veech, William A.
1973
A fixed point theorem-free approach to weak almost periodicity. Zbl 0286.43009
Veech, William A.
1973
A converse to Gauss’ theorem. Zbl 0235.31013
Veech, William A.
1972
Short proof of Sobczyk’s theorem. Zbl 0213.39402
Veech, W. A.
1971
Some questions of uniform distribution. Zbl 0226.43001
Veech, William A.
1971
Well distributed sequences of integers. Zbl 0229.10019
Veech, William A.
1971
Point-distal flows. Zbl 0202.55503
Veech, W. A.
1970
Strict ergodicity in zero dimensional dynamical systems and the Kronecker-Weyl theorem $$\bmod 2$$. Zbl 0201.05601
Veech, William A.
1969
Properties of minimal functions on Abelian groups. Zbl 0206.42804
Veech, W. A.
1969
Minimal transformation groups with distal points. Zbl 0177.51301
Veech, W. A.
1969
Complementation and continuity in spaces of almost automorphic functions. Zbl 0203.44201
Veech, W. A.
1969
The equicontinuous structure relation for minimal abelian transformation groups. Zbl 0177.51204
Veech, W. A.
1968
A Kronecker-Weyl theorem modulo 2. Zbl 0175.33201
Veech, William A.
1968
A moment theorem. Zbl 0169.46301
Veech, W. A.
1968
On a theorem of Bochner. Zbl 0155.40502
Veech, W. A.
1967
A second course in complex analysis. Zbl 0145.29901
Veech, W. A.
1967
Almost automorphy and a theorem of Loomis. Zbl 0155.40501
Veech, W. A.
1967
Almost automorphic functions on groups. Zbl 0137.05803
Veech, W. A.
1965
Almost automorphic functions. Zbl 0173.33402
Veech, W. A.
1963
The necessity of Harris’ condition for the existence of a stationary measure. Zbl 0126.33902
Veech, W.
1963
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#### Cited by 785 Authors

 22 Hubert, Pascal 19 Chaika, Jonathan 19 Glasner, Eli 17 Veech, William Austin 14 Ferenczi, Sébastien 14 Lemańczyk, Mariusz 13 Masur, Howard A. 13 Schmidt, Thomas A. 12 Boshernitzan, Michael D. 12 Weiss, Barak 12 Wright, Alex 12 Ye, Xiangdong 11 Möller, Martin 11 Nogueira, Arnaldo C. R. 11 Shen, Wenxian 10 Eskin, Alex 10 Huang, Wen 10 Johnson, Russell Allan 10 McMullen, Curtis Tracy 10 Ulcigrai, Corinna 9 Avila Cordeiro de Melo, Artur 9 Bufetov, Aleksandr Igorevich 9 Shao, Song 9 Yoccoz, Jean-Christophe 8 Athreya, Jayadev S. 8 Forni, Giovanni 8 Gutkin, Eugene 8 Hooper, W. Patrick 8 Matheus, Carlos 8 N’Guérékata, Gaston Mandata 7 Arnoux, Pierre 7 Ezzinbi, Khalil 7 Frączek, Krzysztof Marek 7 Troubetzkoy, Serge Eugene 7 Zorich, Anton 6 Auslander, Joseph 6 Boissy, Corentin 6 Chen, Dawei 6 Dani, Shrikrishna Gopalrao 6 Ellis, Robert Mortimer 6 Essebbar, Brahim 6 Lanneau, Erwan 6 Mirzakhani, Maryam 6 Nguyen, Duc-Manh 6 Pinto, Alberto Adrego 6 Treviño, Rodrigo 5 Barge, Marcy M. 5 Cheung, Yitwah 5 Dai, Xiongping 5 Delecroix, Vincent 5 Gadre, Vaibhav S. 5 Ghazouani, Selim 5 Lelièvre, Samuel 5 Levitt, Gilbert 5 Liang, Jin 5 Marmi, Stefano 5 Smillie, John 4 Bainbridge, Matt 4 Calta, Kariane 4 Conze, Jean-Pierre 4 del Junco, Andres 4 Dynnikov, Ivan Alekseevich 4 El Abdalaoui, El Houcein 4 Fickenscher, Jon 4 Fisher, Albert Meads 4 Fu, Xinchu 4 Goujard, Elise 4 Hansen, Wolfhard 4 Kostić, Marko 4 Kułaga-Przymus, Joanna 4 Lau, Anthony To-Ming 4 Leininger, Christopher J. 4 Marchese, Luca 4 McMahon, Douglas C. 4 Milnes, Paul 4 Mukamel, Ronen Eliahu 4 Nikolaev, Igor Vasilievich 4 Obaya, Rafael 4 Rafi, Kasra 4 Rand, David A. 4 Ratner, Marina 4 Robinson, E. Arthur jun. 4 Schmoll, Martin Johannes 4 Shapiro, Leonard D. 4 Skripchenko, Alexandra 4 Wang, Yi 4 Weitze-Schmithüsen, Gabriela 4 Wu, Ta-Sun 4 Xiao, Ti-Jun 4 Yi, Yingfei 4 Zamboni, Luca Quardo 3 Agarwal, Ravi P. 3 Aggarwal, Amol 3 Ahn, Youngho 3 Ashwin, Peter 3 Basit, Bolis 3 Berthé, Valérie 3 Bowen, Rufus 3 Cobo, Milton 3 Correa, Claudia ...and 685 more Authors
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#### Cited in 175 Serials

 64 Ergodic Theory and Dynamical Systems 57 Israel Journal of Mathematics 42 Proceedings of the American Mathematical Society 38 Transactions of the American Mathematical Society 32 Journal d’Analyse Mathématique 28 Geometriae Dedicata 26 Inventiones Mathematicae 25 Annales de l’Institut Fourier 24 Journal of Modern Dynamics 21 Journal of Differential Equations 21 Geometric and Functional Analysis. GAFA 19 Geometry & Topology 18 Duke Mathematical Journal 17 Journal of Mathematical Analysis and Applications 15 Journal of Functional Analysis 15 Monatshefte für Mathematik 13 Topology and its Applications 12 Advances in Mathematics 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Mathematische Annalen 11 Bulletin of the American Mathematical Society. New Series 11 Discrete and Continuous Dynamical Systems 11 Annals of Mathematics. Second Series 10 Communications in Mathematical Physics 10 Bulletin de la Société Mathématique de France 10 Mathematische Zeitschrift 10 Journal of the American Mathematical Society 9 Publications Mathématiques 9 Journal of Dynamics and Differential Equations 9 Journal of the European Mathematical Society (JEMS) 7 Semigroup Forum 7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 6 Acta Mathematica 6 Journal für die Reine und Angewandte Mathematik 6 Conformal Geometry and Dynamics 4 Mathematical Notes 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Commentarii Mathematici Helvetici 4 Compositio Mathematica 4 Proceedings of the Japan Academy. Series A 4 Theoretical Computer Science 4 Journal of Difference Equations and Applications 4 Chaos 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Advances in Difference Equations 4 Bulletin of the American Mathematical Society 3 Bulletin of the Australian Mathematical Society 3 Journal of Statistical Physics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Nonlinearity 3 Journal of Geometry and Physics 3 Archiv der Mathematik 3 Journal of Number Theory 3 Physica D 3 Experimental Mathematics 3 Discrete Dynamics in Nature and Society 3 Proceedings of the Steklov Institute of Mathematics 2 Letters in Mathematical Physics 2 Chaos, Solitons and Fractals 2 Fundamenta Mathematicae 2 Journal of Pure and Applied Algebra 2 Mathematical Systems Theory 2 Advances in Applied Mathematics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Theoretical Probability 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Indagationes Mathematicae. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Potential Analysis 2 Journal of Mathematical Sciences (New York) 2 Electronic Research Announcements of the American Mathematical Society 2 Doklady Mathematics 2 Journal of Dynamical and Control Systems 2 Annales Henri Poincaré 2 Algebraic & Geometric Topology 2 Dynamical Systems 2 Stochastics and Dynamics 2 Journal of Applied Mathematics and Computing 2 Journal of the Institute of Mathematics of Jussieu 2 Complex Analysis and Operator Theory 2 Involve 2 Journal of Topology and Analysis 2 Science China. Mathematics 2 Arnold Mathematical Journal 2 European Journal of Mathematics 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Applicable Analysis 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Acta Arithmetica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Journal of Differential Geometry ...and 75 more Serials
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#### Cited in 51 Fields

 475 Dynamical systems and ergodic theory (37-XX) 159 Functions of a complex variable (30-XX) 123 Measure and integration (28-XX) 122 Several complex variables and analytic spaces (32-XX) 98 Number theory (11-XX) 98 General topology (54-XX) 80 Manifolds and cell complexes (57-XX) 64 Abstract harmonic analysis (43-XX) 62 Topological groups, Lie groups (22-XX) 62 Ordinary differential equations (34-XX) 49 Algebraic geometry (14-XX) 48 Operator theory (47-XX) 44 Functional analysis (46-XX) 42 Probability theory and stochastic processes (60-XX) 32 Group theory and generalizations (20-XX) 31 Differential geometry (53-XX) 28 Partial differential equations (35-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Potential theory (31-XX) 14 Combinatorics (05-XX) 12 Convex and discrete geometry (52-XX) 12 Computer science (68-XX) 11 Integral equations (45-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Difference and functional equations (39-XX) 8 Geometry (51-XX) 8 Quantum theory (81-XX) 6 Real functions (26-XX) 6 Integral transforms, operational calculus (44-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Mathematical logic and foundations (03-XX) 5 Optics, electromagnetic theory (78-XX) 4 Category theory; homological algebra (18-XX) 4 Mechanics of particles and systems (70-XX) 4 Biology and other natural sciences (92-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Algebraic topology (55-XX) 3 Numerical analysis (65-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Operations research, mathematical programming (90-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 $$K$$-theory (19-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX)

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