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Veech, William Austin

Author ID: veech.william-a Recent zbMATH articles by "Veech, William Austin"
Published as: Veech, William A.; Veech, W. A.; Veech, W.
Homepage: http://report.rice.edu/sir/faculty.detail?p=A6B7D13019ABFD4C
External Links: MGP · Wikidata · IdRef
Documents Indexed: 65 Publications since 1963, including 1 Book
Biographic References: 2 Publications
Co-Authors: 8 Co-Authors with 1 Joint Publication
164 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

57 Publications have been cited 1,664 times in 1,091 Documents Cited by Year
Gauss measures for transformations on the space of interval exchange maps. Zbl 0486.28014
Veech, William A.
278
1982
Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards. Zbl 0676.32006
Veech, W. A.
170
1989
Almost automorphic functions on groups. Zbl 0137.05803
Veech, W. A.
137
1965
Interval exchange transformations. Zbl 0455.28006
Veech, William A.
99
1978
Topological dynamics. Zbl 0384.28018
Veech, William A.
94
1977
The Teichmüller geodesic flow. Zbl 0658.32016
Veech, William A.
81
1986
Strict ergodicity in zero dimensional dynamical systems and the Kronecker-Weyl theorem \(\bmod 2\). Zbl 0201.05601
Veech, William A.
61
1969
Moduli spaces of quadratic differentials. Zbl 0722.30032
Veech, William A.
59
1990
Point-distal flows. Zbl 0202.55503
Veech, W. A.
58
1970
The metric theory of interval exchange transformations. I: Generic spectral properties. Zbl 0631.28006
Veech, William A.
55
1984
Siegel measures. Zbl 0922.22003
Veech, William A.
47
1998
The equicontinuous structure relation for minimal abelian transformation groups. Zbl 0177.51204
Veech, W. A.
40
1968
The billiard in a regular polygon. Zbl 0760.58036
Veech, William A.
36
1992
A criterion for a process to be prime. Zbl 0499.28016
Veech, William A.
33
1982
Almost automorphic functions. Zbl 0173.33402
Veech, W. A.
28
1963
Geometric realizations of hyperelliptic curves. Zbl 0859.30039
Veech, William A.
26
1995
On a theorem of Bochner. Zbl 0155.40502
Veech, W. A.
24
1967
Flat surfaces. Zbl 0803.30037
Veech, William A.
23
1993
Unique ergodicity of horospherical flows. Zbl 0365.28012
Veech, William A.
21
1977
Boshernitzan’s criterion for unique ergodicity of an interval exchange transformation. Zbl 0657.28012
Veech, William A.
20
1987
Periodic points and invariant pseudomeasures for toral endomorphisms. Zbl 0616.28009
Veech, William A.
20
1986
The metric theory of interval exchange transformations. III: The Sah- Arnoux-Fathi invariant. Zbl 0631.28008
Veech, William A.
19
1984
A second course in complex analysis. Zbl 0145.29901
Veech, W. A.
18
1967
Short proof of Sobczyk’s theorem. Zbl 0213.39402
Veech, W. A.
18
1971
Finite group extensions of irrational rotations. Zbl 0334.28014
Veech, William A.
18
1975
Weakly almost periodic functions on semisimple Lie groups. Zbl 0438.43009
Veech, William A.
17
1979
Some questions of uniform distribution. Zbl 0226.43001
Veech, William A.
16
1971
Erratum to: “Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards”. Zbl 0709.32014
Veech, W. A.
14
1991
Well distributed sequences of integers. Zbl 0229.10019
Veech, William A.
12
1971
A zero-one law for a class of random walks and a converse to Gauss’ mean value theorem. Zbl 0282.60048
Veech, William A.
12
1973
A converse to the mean value theorem for harmonic functions. Zbl 0324.31002
Veech, William A.
12
1976
Möbius orthogonality for generalized Morse-Kakutani flows. Zbl 1381.37006
Veech, William A.
11
2017
A fixed point theorem-free approach to weak almost periodicity. Zbl 0286.43009
Veech, William A.
10
1973
The metric theory of interval exchange transformations. II: Approximation by primitive interval exchanges. Zbl 0631.28007
Veech, William A.
9
1984
Measures supported on the set of uniquely ergodic directions of an arbitrary holomorphic 1-form. Zbl 0996.37060
Veech, William A.
8
1999
Bicuspid \(F\)-structures and Hecke groups. Zbl 1238.32013
Veech, William A.
7
2011
The necessity of Harris’ condition for the existence of a stationary measure. Zbl 0126.33902
Veech, W.
7
1963
Ergodic theory and uniform distribution. Zbl 0401.10062
Veech, William A.
5
1979
Delaunay partitions. Zbl 0954.32009
Veech, W. A.
5
1997
Minimality of horospherical flows. Zbl 0334.28013
Veech, William A.
4
1975
Quasiminimal invariants for foliations of orientable closed surfaces. Zbl 0697.57012
Veech, William A.
4
1989
Decoding Rauzy induction: Bufetov’s question. Zbl 1213.37066
Veech, William A.
4
2010
Properties of minimal functions on Abelian groups. Zbl 0206.42804
Veech, W. A.
3
1969
Minimal transformation groups with distal points. Zbl 0177.51301
Veech, W. A.
3
1969
A converse to Gauss’ theorem. Zbl 0235.31013
Veech, William A.
3
1972
Almost automorphy and a theorem of Loomis. Zbl 0155.40501
Veech, W. A.
2
1967
A Kronecker-Weyl theorem modulo 2. Zbl 0175.33201
Veech, William A.
2
1968
Complementation and continuity in spaces of almost automorphic functions. Zbl 0203.44201
Veech, W. A.
2
1969
A Gauss measure on the set of interval exchange transformations. Zbl 0486.28013
Veech, William A.
1
1981
Invariant distributions for interval exchange transformations. Zbl 1264.32008
Veech, William A.
1
2012
A moment theorem. Zbl 0169.46301
Veech, W. A.
1
1968
Minimal sets and Souslin sets. Zbl 0276.54042
Veech, William A.
1
1973
Dynamics over Teichmüller space. Zbl 0594.32022
Veech, William A.
1
1986
Abel’s formula and \(\beta\)-duality in sequence spaces. Zbl 0802.46022
Veech, William A.
1
1991
Martin boundary for the similarity walk in a planar triangle. Zbl 1255.60130
Veech, William A.
1
2012
A tribute to Henry Helson. Zbl 1215.01043
Sarason, Donald; Katznelson, Y.; Wermer, John; Veech, William A.; Arveson, William; Merrill, Kathy; Tanaka, Jun-ichi; McCarthy, John E.; Medina, Herbert; Zabihi, Farhad
1
2011
The Forni cocycle. Zbl 1161.37008
Veech, William A.
1
2008
Möbius orthogonality for generalized Morse-Kakutani flows. Zbl 1381.37006
Veech, William A.
11
2017
Invariant distributions for interval exchange transformations. Zbl 1264.32008
Veech, William A.
1
2012
Martin boundary for the similarity walk in a planar triangle. Zbl 1255.60130
Veech, William A.
1
2012
Bicuspid \(F\)-structures and Hecke groups. Zbl 1238.32013
Veech, William A.
7
2011
A tribute to Henry Helson. Zbl 1215.01043
Sarason, Donald; Katznelson, Y.; Wermer, John; Veech, William A.; Arveson, William; Merrill, Kathy; Tanaka, Jun-ichi; McCarthy, John E.; Medina, Herbert; Zabihi, Farhad
1
2011
Decoding Rauzy induction: Bufetov’s question. Zbl 1213.37066
Veech, William A.
4
2010
The Forni cocycle. Zbl 1161.37008
Veech, William A.
1
2008
Measures supported on the set of uniquely ergodic directions of an arbitrary holomorphic 1-form. Zbl 0996.37060
Veech, William A.
8
1999
Siegel measures. Zbl 0922.22003
Veech, William A.
47
1998
Delaunay partitions. Zbl 0954.32009
Veech, W. A.
5
1997
Geometric realizations of hyperelliptic curves. Zbl 0859.30039
Veech, William A.
26
1995
Flat surfaces. Zbl 0803.30037
Veech, William A.
23
1993
The billiard in a regular polygon. Zbl 0760.58036
Veech, William A.
36
1992
Erratum to: “Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards”. Zbl 0709.32014
Veech, W. A.
14
1991
Abel’s formula and \(\beta\)-duality in sequence spaces. Zbl 0802.46022
Veech, William A.
1
1991
Moduli spaces of quadratic differentials. Zbl 0722.30032
Veech, William A.
59
1990
Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards. Zbl 0676.32006
Veech, W. A.
170
1989
Quasiminimal invariants for foliations of orientable closed surfaces. Zbl 0697.57012
Veech, William A.
4
1989
Boshernitzan’s criterion for unique ergodicity of an interval exchange transformation. Zbl 0657.28012
Veech, William A.
20
1987
The Teichmüller geodesic flow. Zbl 0658.32016
Veech, William A.
81
1986
Periodic points and invariant pseudomeasures for toral endomorphisms. Zbl 0616.28009
Veech, William A.
20
1986
Dynamics over Teichmüller space. Zbl 0594.32022
Veech, William A.
1
1986
The metric theory of interval exchange transformations. I: Generic spectral properties. Zbl 0631.28006
Veech, William A.
55
1984
The metric theory of interval exchange transformations. III: The Sah- Arnoux-Fathi invariant. Zbl 0631.28008
Veech, William A.
19
1984
The metric theory of interval exchange transformations. II: Approximation by primitive interval exchanges. Zbl 0631.28007
Veech, William A.
9
1984
Gauss measures for transformations on the space of interval exchange maps. Zbl 0486.28014
Veech, William A.
278
1982
A criterion for a process to be prime. Zbl 0499.28016
Veech, William A.
33
1982
A Gauss measure on the set of interval exchange transformations. Zbl 0486.28013
Veech, William A.
1
1981
Weakly almost periodic functions on semisimple Lie groups. Zbl 0438.43009
Veech, William A.
17
1979
Ergodic theory and uniform distribution. Zbl 0401.10062
Veech, William A.
5
1979
Interval exchange transformations. Zbl 0455.28006
Veech, William A.
99
1978
Topological dynamics. Zbl 0384.28018
Veech, William A.
94
1977
Unique ergodicity of horospherical flows. Zbl 0365.28012
Veech, William A.
21
1977
A converse to the mean value theorem for harmonic functions. Zbl 0324.31002
Veech, William A.
12
1976
Finite group extensions of irrational rotations. Zbl 0334.28014
Veech, William A.
18
1975
Minimality of horospherical flows. Zbl 0334.28013
Veech, William A.
4
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.
12
1973
A fixed point theorem-free approach to weak almost periodicity. Zbl 0286.43009
Veech, William A.
10
1973
Minimal sets and Souslin sets. Zbl 0276.54042
Veech, William A.
1
1973
A converse to Gauss’ theorem. Zbl 0235.31013
Veech, William A.
3
1972
Short proof of Sobczyk’s theorem. Zbl 0213.39402
Veech, W. A.
18
1971
Some questions of uniform distribution. Zbl 0226.43001
Veech, William A.
16
1971
Well distributed sequences of integers. Zbl 0229.10019
Veech, William A.
12
1971
Point-distal flows. Zbl 0202.55503
Veech, W. A.
58
1970
Strict ergodicity in zero dimensional dynamical systems and the Kronecker-Weyl theorem \(\bmod 2\). Zbl 0201.05601
Veech, William A.
61
1969
Properties of minimal functions on Abelian groups. Zbl 0206.42804
Veech, W. A.
3
1969
Minimal transformation groups with distal points. Zbl 0177.51301
Veech, W. A.
3
1969
Complementation and continuity in spaces of almost automorphic functions. Zbl 0203.44201
Veech, W. A.
2
1969
The equicontinuous structure relation for minimal abelian transformation groups. Zbl 0177.51204
Veech, W. A.
40
1968
A Kronecker-Weyl theorem modulo 2. Zbl 0175.33201
Veech, William A.
2
1968
A moment theorem. Zbl 0169.46301
Veech, W. A.
1
1968
On a theorem of Bochner. Zbl 0155.40502
Veech, W. A.
24
1967
A second course in complex analysis. Zbl 0145.29901
Veech, W. A.
18
1967
Almost automorphy and a theorem of Loomis. Zbl 0155.40501
Veech, W. A.
2
1967
Almost automorphic functions on groups. Zbl 0137.05803
Veech, W. A.
137
1965
Almost automorphic functions. Zbl 0173.33402
Veech, W. A.
28
1963
The necessity of Harris’ condition for the existence of a stationary measure. Zbl 0126.33902
Veech, W.
7
1963
all top 5

Cited by 967 Authors

26 Hubert, Pascal
23 Glasner, Eli
22 Chaika, Jonathan
17 Veech, William Austin
15 Ferenczi, Sébastien
15 Lemańczyk, Mariusz
15 Masur, Howard A.
15 Schmidt, Thomas A.
14 Weiss, Barak
14 Wright, Alex
13 Forni, Giovanni
13 McMullen, Curtis Tracy
13 Möller, Martin
13 Ye, Xiangdong
12 Athreya, Jayadev S.
12 Avila, Artur
12 Boshernitzan, Michael D.
12 Ulcigrai, Corinna
11 Bufetov, Aleksandr Igorevich
11 Eskin, Alex
11 Shao, Song
11 Shen, Wenxian
10 Huang, Wen
10 Johnson, Russell Allan
10 Nguyen, Duc-Manh
10 Nogueira, Arnaldo C. R.
9 Boissy, Corentin
9 Dai, Xiongping
9 Hooper, W. Patrick
9 Matheus, Carlos
9 N’Guérékata, Gaston Mandata
9 Yoccoz, Jean-Christophe
9 Zorich, Anton Vladimirovich
8 Chen, Dawei
8 Delecroix, Vincent
8 Ezzinbi, Khalil
8 Frączek, Krzysztof Marek
8 Gutkin, Eugene
8 Kostić, Marko
8 Lanneau, Erwan
7 Auslander, Joseph
7 Bainbridge, Matt
7 Essebbar, Brahim
7 Ghazouani, Selim
7 Marmi, Stefano
7 Pinto, Alberto Adrego
7 Skripchenko, Alexandra
7 Troubetzkoy, Serge Eugene
6 Arnoux, Pierre
6 Dani, Shrikrishna Gopalrao
6 Ellis, Robert Mortimer
6 Fickenscher, Jon
6 Gadre, Vaibhav S.
6 Goujard, Elise
6 Liu, Zhenxin
6 Marchese, Luca
6 Mirzakhani, Maryam
6 Smillie, John
6 Treviño, Rodrigo
6 Wang, Yi
6 Weitze-Schmithüsen, Gabriela
5 Barge, Marcy M.
5 Berthé, Valérie
5 Cheung, Yitwah
5 El Abdalaoui, El Houcein
5 Leininger, Christopher J.
5 Lelièvre, Samuel
5 Lenz, Daniel H.
5 Levitt, Gilbert
5 Liang, Jin
5 Rand, David A.
5 Solomyak, Boris
5 Xiao, Ti-Jun
4 Aggarwal, Amol
4 Ait Dads, El Hadi
4 Apisa, Paul
4 Aulicino, David
4 Calta, Kariane
4 Conze, Jean-Pierre
4 Damanik, David
4 de Laat, Tim
4 del Junco, Andres
4 Dynnikov, Ivan Alekseevich
4 Filip, Simion
4 Fisher, Albert Meads
4 Fu, Xinchu
4 Hansen, Wolfhard
4 Oertel-Jäger, Tobias Hendrik
4 Kułaga-Przymus, Joanna
4 Lau, Anthony To-Ming
4 McMahon, Douglas C.
4 Milnes, Paul
4 Miyachi, Hideki
4 Mukamel, Ronen Eliahu
4 Nakada, Hitoshi
4 Obaya, Rafael
4 Pinto, Manuel
4 Rafi, Kasra
4 Ratner, Marina
4 Robinson, E. Arthur jun.
...and 867 more Authors
all top 5

Cited in 207 Serials

76 Ergodic Theory and Dynamical Systems
64 Israel Journal of Mathematics
45 Proceedings of the American Mathematical Society
44 Transactions of the American Mathematical Society
38 Geometriae Dedicata
37 Journal of Modern Dynamics
33 Journal d’Analyse Mathématique
31 Inventiones Mathematicae
27 Annales de l’Institut Fourier
26 Journal of Differential Equations
25 Geometric and Functional Analysis. GAFA
21 Duke Mathematical Journal
21 Geometry & Topology
19 Journal of Mathematical Analysis and Applications
19 Bulletin de la Société Mathématique de France
18 Monatshefte für Mathematik
17 Advances in Mathematics
16 Topology and its Applications
16 Discrete and Continuous Dynamical Systems
15 Journal of Functional Analysis
14 Bulletin of the American Mathematical Society. New Series
13 Journal of the European Mathematical Society (JEMS)
12 Mathematische Annalen
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Annals of Mathematics. Second Series
11 Mathematische Zeitschrift
11 Journal of Dynamics and Differential Equations
10 Communications in Mathematical Physics
10 Publications Mathématiques
10 Journal of the American Mathematical Society
9 Journal of the London Mathematical Society. Second Series
9 Journal für die Reine und Angewandte Mathematik
7 Semigroup Forum
7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
6 Acta Mathematica
6 Conformal Geometry and Dynamics
5 Archiv der Mathematik
5 Commentarii Mathematici Helvetici
5 Compositio Mathematica
5 Experimental Mathematics
5 Groups, Geometry, and Dynamics
4 Bulletin of the Australian Mathematical Society
4 Mathematical Notes
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Nonlinearity
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
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 Applicable Analysis
3 Journal of Statistical Physics
3 Journal of Geometry and Physics
3 Journal of Number Theory
3 Memoirs of the American Mathematical Society
3 Transactions of the Moscow Mathematical Society
3 Physica D
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Discrete Dynamics in Nature and Society
3 Journal of Dynamical and Control Systems
3 Qualitative Theory of Dynamical Systems
3 Algebraic & Geometric Topology
3 Dynamical Systems
3 Discrete and Continuous Dynamical Systems. Series B
3 Proceedings of the Steklov Institute of Mathematics
3 Involve
3 Journal of Topology and Analysis
3 Science China. Mathematics
3 Arnold Mathematical Journal
3 European Journal of Mathematics
2 Letters in Mathematical Physics
2 Chaos, Solitons and Fractals
2 Fundamenta Mathematicae
2 Illinois Journal of Mathematics
2 Journal of Pure and Applied Algebra
2 Manuscripta Mathematica
2 Mathematical Systems Theory
2 Proceedings of the London Mathematical Society. Third Series
2 Advances in Applied Mathematics
2 Acta Mathematica Hungarica
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Probability Theory and Related Fields
2 Journal of Theoretical Probability
2 L’Enseignement Mathématique. 2e Série
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 Potential Analysis
2 Journal of Mathematical Sciences (New York)
2 Selecta Mathematica. New Series
2 Electronic Research Announcements of the American Mathematical Society
2 Documenta Mathematica
2 Doklady Mathematics
2 Acta Mathematica Sinica. English Series
2 Communications in Nonlinear Science and Numerical Simulation
2 Annales Henri Poincaré
...and 107 more Serials
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Cited in 53 Fields

601 Dynamical systems and ergodic theory (37-XX)
208 Functions of a complex variable (30-XX)
167 Several complex variables and analytic spaces (32-XX)
132 Measure and integration (28-XX)
131 Number theory (11-XX)
107 General topology (54-XX)
104 Manifolds and cell complexes (57-XX)
83 Abstract harmonic analysis (43-XX)
79 Algebraic geometry (14-XX)
76 Ordinary differential equations (34-XX)
75 Topological groups, Lie groups (22-XX)
64 Operator theory (47-XX)
54 Functional analysis (46-XX)
54 Probability theory and stochastic processes (60-XX)
49 Group theory and generalizations (20-XX)
41 Differential geometry (53-XX)
35 Partial differential equations (35-XX)
23 Combinatorics (05-XX)
23 Convex and discrete geometry (52-XX)
20 Global analysis, analysis on manifolds (58-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
17 Computer science (68-XX)
16 Potential theory (31-XX)
14 Integral equations (45-XX)
11 Difference and functional equations (39-XX)
11 Quantum theory (81-XX)
8 Mathematical logic and foundations (03-XX)
8 Geometry (51-XX)
7 Real functions (26-XX)
7 Statistical mechanics, structure of matter (82-XX)
7 Biology and other natural sciences (92-XX)
6 Integral transforms, operational calculus (44-XX)
5 Mechanics of particles and systems (70-XX)
5 Optics, electromagnetic theory (78-XX)
4 General and overarching topics; collections (00-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Category theory; homological algebra (18-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Algebraic topology (55-XX)
4 Numerical analysis (65-XX)
3 History and biography (01-XX)
3 Information and communication theory, circuits (94-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Sequences, series, summability (40-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 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Approximations and expansions (41-XX)
1 Relativity and gravitational theory (83-XX)
1 Systems theory; control (93-XX)

Citations by Year

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