William A. Veech | Academic Influence

William A. Veech's AcademicInfluence.com Rankings

William A. Veech

Mathematics

#4782

World Rank

#6774

Historical Rank

#1620

USA Rank

Measure Theory

#2557

World Rank

#3066

Historical Rank

#727

USA Rank

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Mathematics

William A. Veech's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics University of Chicago

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Why Is William A. Veech Influential?

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According to Wikipedia, William A. Veech was the Edgar O. Lovett Professor of Mathematics at Rice University until his death. His research concerned dynamical systems; he is particularly known for his work on interval exchange transformations, and is the namesake of the Veech surface. He died unexpectedly on August 30, 2016 in Houston, Texas.

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William A. Veech's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Gauss measures for transformations on the space of interval exchange maps (1982) (692)
Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards (1989) (411)
Almost Automorphic Functions on Groups (1965) (232)
The Teichmuller Geodesic Flow (1986) (226)
THE METRIC THEORY OF INTERVAL EXCHANGE TRANSFORMATIONS I. GENERIC SPECTRAL PROPERTIES (1984) (143)
Moduli spaces of quadratic differentials (1990) (140)
Strict ergodicity in zero dimensional dynamical systems and the Kronecker-Weyl theorem 2 (1969) (124)
Siegel measures (1998) (99)
POINT-DISTAL FLOWS. (1970) (95)
The billiard in a regular polygon (1992) (94)
Interval exchange transformations (1978) (92)
Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards (1989) (90)
A criterion for a process to be prime (1982) (77)
The Equicontinuous Structure Relation for Minimal Abelian Transformation Groups (1968) (69)
A second course in complex analysis (1967) (60)
Boshernitzan's criterion for unique ergodicity of an interval exchange transformation (1987) (54)
Periodic points and invariant pseudomeasures for toral endomorphisms (1986) (48)
Geometric Realizations of Hyperelliptic Curves (1995) (48)
UNIQUE ERGODICITY OF HOROSPHERICAL FLOWS. (1977) (46)
ALMOST AUTOMORPHIC FUNCTIONS. (1963) (43)
The metric theory of interval exchange transformations. III: The Sah-Arnoux-Fathi invariant (1984) (43)
Short proof of Sobczyk’s theorem (1971) (38)
Weakly almost periodic functions on semisimple Lie groups (1979) (36)
Projective Swiss Cheeses and Uniquely Ergodic Interval Exchange Transformations (1981) (34)
Möbius orthogonality for generalized Morse-Kakutani flows (2017) (33)
Measures supported on the set of uniquely ergodic directions of an arbitrary holomorphic 1-form (1999) (29)
THE METRIC THEORY OF INTERVAL EXCHANGE TRANSFORMATIONS II. APPROXIMATION BY PRIMITIVE INTERVAL EXCHANGES (1984) (26)
Finite group extensions of irrational rotations (1975) (25)
A fixed point theorem-free approach to weak almost periodicity (1973) (25)
Some Questions of Uniform Distribution (1971) (23)
A Converse to the Mean Value Theorem for Harmonic Functions (1975) (20)
The necessity of Harris’ condition for the existence of a stationary measure (1963) (18)
A Zero-One Law for a Class of Random Walks and a Converse to Gauss' Mean Value Theorem (1973) (18)
On a Theorem of Bochner (1967) (16)
Well distributed sequences of integers (1971) (16)
Shorter Notes: Short Proof of Sobczyk's Theorem (1971) (11)
Bicuspid F‐structures and Hecke groups (2011) (10)
Minimality of horospherical flows (1975) (9)
Decoding Rauzy Induction: Bufetov's Question (2010) (8)
A kronecker-weyl theorem modulo 2. (1968) (7)
Properties of Minimal Functions on Abelian Groups (1969) (6)
A converse to Gauss' theorem (1972) (6)
Minimal transformation groups with distal points (1969) (4)
Dynamics over Teichmüller space (1986) (3)
The tail of a positivity-preserving semigroup (1974) (2)
Almost automorphy and a theorem of Loomis (1967) (2)
Riemann Sums and Möbius (2018) (2)
Martin boundary for the similarity walk in a planar triangle (2012) (2)
The Forni Cocycle (2008) (2)
Problems for Solution: E1371-E1375 (1959) (1)
Minimal sets and Souslin sets (1973) (1)
Complementation and Continuity in Spaces of Almost Automorphic Functions. (1969) (1)
A moment theorem (1968) (1)
A Gauss measure on the set of interval exchange transformations. (1981) (1)
Quasiminimal invariants for foliations of orientable closed surfaces (1989) (1)
Teichmüller Curves Through Fermat Curves (2008) (0)
Ergodic theory and uniform distribution (2019) (0)
Ergodic theory and uniform distribution (2019) (0)
A FIXED POINT THEOREM-FREE APPROACH TO WEAK (2010) (0)
MINIMAL ABELIAN TRANSFORMATION GROUPS. (2016) (0)
and consider a relatively weak property, a property whiclh involves a notion of recurrenice and is called minimality (2). MAlinimal functions were introduced by L. Auslander aind Halhn in (21, (2016) (0)
Abel's formula and -duality in sequence spaces (1991) (0)
Quasiregular points and time changes (1978) (0)
Riemann Sums and Möbius (2018) (0)
FOR HARMONIC FUNCTIONS. (2016) (0)
A Gaussmeasureonthesetofinterval exchange, transformations (1981) (0)
TWO RESULTS ON TRANSIENT MARKOV CHAINS (1962) (0)
RICE UNIVERSITY The Behavior of Orbits of Some Flows with Two Fixed Points on the Torus by Randolph Calvin Mitchell A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE MASTER OF ARTS (2018) (0)
Ergodic theory and uniform distribution (2019) (0)

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