Klaus Schmidt | Academic Influence

Klaus Schmidt 's AcademicInfluence.com Rankings

Klaus Schmidt

Mathematics

#3173

World Rank

#4741

Historical Rank

Group Theory

#143

World Rank

#173

Historical Rank

Algebra

#290

World Rank

#410

Historical Rank

Measure Theory

#2437

World Rank

#2916

Historical Rank

mathematics Degrees

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Mathematics

Klaus Schmidt 's Degrees

PhD Mathematics University of Vienna

Why Is Klaus Schmidt Influential?

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According to Wikipedia, Klaus D. Schmidt is an Austrian mathematician and retired professor at the Faculty of Mathematics, University of Vienna. After studying mathematics at the University of Vienna he received his doctorate in 1968 under Edmund Hlawka. He held visiting professorships in Technical University of Vienna, University of Manchester in 1969, Bedford College and the University of Warwick from 1974 to 1994 after which he came back to the University of Vienna. He retired in 2009. In 1975/76 K. R. Parthasarathy invited Klaus Schmidt to spend 7 months at the new Delhi Centre of Indian Statistical Institute .

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Klaus Schmidt '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

Dynamical Systems of Algebraic Origin (1995) (443)
Positive Definite Kernels, Continuous Tensor Products, and Central Limit Theorems of Probability Theory (1972) (269)
Mahler measure and entropy for commuting automorphisms of compact groups (1990) (222)
Cocycles on ergodic transformation groups (1977) (208)
Amenability, Kazhdan's property T, strong ergodicity and invariant means for ergodic group-actions (1981) (169)
On the Existence and Uniqueness of the Maximum Likelihood Estimate of a Vector-Valued Parameter in Fixed-Size Samples (1981) (110)
Asymptotically invariant sequences and an action of SL (2,Z) on the 2-sphere (1980) (107)
Algebraic ideas in ergodic theory (1990) (90)
Automorphisms of Compact Abelian Groups and Affine Varieties (1990) (83)
Homoclinic points of algebraic ℤ^{}-actions (1999) (82)
ASYMPTOTICALLY INVARIANT SEQUENCES AND APPROXIMATE FINITENESS (1987) (81)
Coboundaries and Homomorphisms for Non‐Singular Actions and a Problem of H. Helson (1980) (76)
PROBABILITY MEASURES ON LOCALLY COMPACT GROUPS (1979) (74)
Expansive algebraic actions of discrete residually finite amenable groups and their entropy (2006) (72)
Symmetric Gibbs measures (1996) (66)
Automorphisms of compact groups (1989) (64)
Mixing automorphisms of compact groups and a theorem of Schlickewei (1993) (62)
Institute for Mathematical Physics Homoclinic Points of Algebraic Z D {actions Homoclinic Points of Algebraic Z D -actions (1996) (61)
The cohomology of higher-dimensional shifts of finite type (1995) (61)
Ergodic decomposition of quasi-invariant probability measures (2000) (60)
On joint recurrence (1998) (57)
Rigidity of measurable structure for Z^d-actions by automorphisms of a torus (2000) (54)
Mildly Mixing Actions of Locally Compact Groups (1982) (53)
Natural coefficients and invariants for Markov-shifts (1984) (52)
Almost block independence and bernoullicity of ℤd-actions by automorphisms of compact abelian groups (1995) (50)
Algebraic Coding of Expansive Group Automorphisms and Two-sided Beta-Shifts (2000) (49)
Asymptotic Properties of Unitary Representations and Mixing (1984) (46)
Remarks on Livšic' theory for nonabelian cocycles (1999) (45)
Mixing sets and relative entropies for higher-dimensional Markov shifts (1993) (44)
Rigidity of measurable structure for $\mathbb Z^d$-actions by automorphisms of a torus (2002) (44)
MARKOV PARTITIONS AND HOMOCLINIC POINTS OF ALGEBRAICZ d -ACTIONS (1997) (43)
SYMBOLIC AND ALGEBRAIC DYNAMICAL SYSTEMS (2000) (42)
A survey of algebraic actions of the discrete Heisenberg group (2015) (38)
Isomorphism rigidity of irreducible algebraic ℤd-actions (2000) (37)
Multi-dimensional symbolic dynamical systems (2001) (35)
Invariants for finitary isomorphisms with finite expected code lengths (1984) (33)
On recurrence (1984) (30)
Abelian Sandpiles and the Harmonic Model (2009) (30)
Invariant sets and measures of nonexpansive group automorphisms (2003) (29)
Stable positive definite functions (1975) (28)
Heights of Polynomials and Entropy in Algebraic Dynamics, By GRAHAM EVEREST AND THOMAS WARD, Springer Universitext, Springer 1999 (2000) (27)
Factorisable representations of current groups and the Araki-Woods imbedding theorem (1972) (26)
A new method for constructing factorisable representations for current groups and current algebras (1976) (26)
OnC2-diffeomorphisms of the circle which are of type III1 (1982) (23)
Periodic points, decidability and Markov subgroups (1988) (23)
Symbolic representations of nonexpansive group automorphisms (2004) (23)
Mixing automorphisms of compact groups and a theorem by Kurt Mahler (1989) (22)
Entropy and growth rate of periodic points of algebraic Z^d-actions (2009) (21)
Tilings, fundamental cocycles and fundamental groups of symbolic ${\Bbb Z}^{d}$-actions (1998) (20)
QUOTIENTS OF `∞(Z,Z) AND SYMBOLIC COVERS OF TORAL AUTOMORPHISMS (2007) (19)
The cohomology of expansive ℤd-actions by automorphisms of compact, abelian groups (1995) (19)
Chapter 10 Symbolic and algebraic dynamical systems (2002) (18)
On the cohomology of a hyperfinite action (1977) (17)
Homoclinic points and isomorphism rigidity of algebraic ℤd-actions on zero-dimensional compact abelian groups (2003) (17)
Homoclinic points, atoral polynomials, and periodic points of algebraic $\mathbb {Z}^d$-actions (2011) (17)
Irreducibility, Homoclinic Points and Adjoint Actions of Algebraic ℤ d -Actions of Rank One (2002) (16)
Cohomological rigidity of algebraic ℤd-actions (1995) (14)
Extensions of cocycles for hyperfinite actions and applications (1997) (14)
TILINGS, FUNDAMENTAL COCYCLES AND FUNDAMENTAL GROUPS OF SYMBOLIC Zd-ACTIONS (2006) (14)
The Adjoint Action of an Expansive Algebraic -Action (2002) (13)
INVARIANT COCYCLES, RANDOM TILINGS AND THE SUPER-K AND STRONG MARKOV PROPERTIES (1997) (13)
Hyperbolic structure preserving isomorphisms of Markov shifts. II (1986) (12)
A note on cocycles of unitary representations (1976) (11)
Spectra of ergodic group actions (1982) (11)
Stable probability measures on ℝ v (1975) (11)
Recurrence of cocycles and stationary random walks (2006) (10)
The Dynamics of Algebraic Z-Actions (2006) (10)
Unique ergodicity for quasi-invariant measures (1979) (10)
A class of probability measures on groups arising from some problems in ergodic theory (1979) (10)
Ergodicity of principal algebraic group actions (2013) (10)
THE COHOMOLOGY OF EXPANSIVE Zd-ACTIONS BY AUTOMORPHISMS OF COMPACT, ABELIAN GROUPS (1995) (9)
Common homoclinic points of commuting toral automorphisms (1999) (9)
Invariant measures for certain expansive ℤ2-actions (1995) (9)
Algebraic polymorphisms (2007) (9)
An information cocycle for groups of non-singular transformations (1985) (8)
Institute for Mathematical Physics Markov Partitions and Homoclinic Points of Algebraic Z D {actions Markov Partitions and Homoclinic Points of Algebraic Z D -actions (2009) (8)
Institute for Mathematical Physics Markov Partitions and Homoclinic Points of Algebraic Z D {actions Markov Partitions and Homoclinic Points of Algebraic Z D -actions (2009) (8)
Ergodic theory of Z[d] actions : proceedings of the Warwick symposium, 1993-4 (1996) (8)
Hyperbolic structure preserving isomorphisms of Markov shifts (1986) (8)
Dispersing cocycles and mixing flows under functions (2002) (7)
A PROBABILISTIC PROOF OF ERGODIC DECOMPOSITION (2016) (7)
Affinely infinitely divisible distributions and the embedding problem (2002) (7)
From infinitely divisible representations to cohomological rigidity (1996) (6)
Algebraic actions of the discrete Heisenberg group: expansiveness and homoclinic points (2013) (6)
Strong ergodicity and quotients of equivalence relations (1987) (5)
Tail-fields of products of random variables and ergodic equivalence relations (1999) (5)
On the Cohomology of Algebraic Z d-actions with Values in Compact Lie Groups (1997) (5)
The Dynamics of Algebraic ℤd-Actions (2001) (5)
Bernoullicity of solenoidal automorphisms and global fields (1994) (5)
Positive definite kernels and continuous tensor products (1972) (4)
Limit theorems for uniformly infinitesimal families of positive definite kernels (1972) (4)
A Wiener Lemma for the discrete Heisenberg group (2016) (3)
Representations of toral automorphisms (2015) (3)
Unique ergodicity and related problems (1979) (3)
Limits of uniformly infinitesimal families of projective representations of locally compact groups (1971) (3)
Associated Actions and Uniqueness of Cocycles (1995) (3)
Ergodic Theory of ℤ d Actions: Frontmatter (1996) (2)
Mahler's Work and Algebraic Dynamical Systems (2018) (2)
A class of infinitely divisible positive definite functions on topological groups (1973) (2)
Bohr chaoticity of principal algebraic actions and Riesz product measures (2021) (2)
Algebra, Arithmetic and Multi–Parameter Ergodic Theory (2006) (2)
New examples of Bernoulli algebraic actions (2019) (2)
Growth and recurrence of stationary random walks (2003) (2)
Ergodicity of cocycles. 1: General Theory (2000) (2)
Cohomology and the absence of strong ergodicity for ergodic group actions (1985) (2)
Permutations of $\mathbb{Z}^d$ with restricted movement (2015) (1)
New directions in algebraic dynamical systems (2011) (1)
Institute for Mathematical Physics Isomorphism Rigidity of Irreducible Algebraic Z D {actions Isomorphism Rigidity of Irreducible Algebraic Z D -actions (2009) (1)
Coding of markov shifts (1985) (1)
A Bernoulli Algebraic Action of a Free Group (2019) (1)
Random walks and geometry : proceedings of a workshop at the Erwin Schrödinger Institute, Vienna, June 18-July 13, 2001 (2004) (1)
Algebraic Polymorphisms– ERRATUM (2009) (1)
Measurable Rigidity of Algebraic Z d-Actions (2006) (1)
ALGEBRAIC Zd-ACTIONS ON ZERO-DIMENSIONAL COMPACT ABELIAN GROUPS (2003) (1)
CHAPTER V Entropy (1995) (0)
CHAPTER VI Positive entropy (1995) (0)
Decimation limits of principal algebraic $\mathbb{Z}^d$-actions (2021) (0)
Institute for Mathematical Physics Symbolic Covers of Toral Automorphisms (2009) (0)
CHAPTER III Expansive automorphisms of compact groups (1995) (0)
Institute for Mathematical Physics Symbolic Covers of Toral Automorphisms (2009) (0)
CHAPTER II \(\mathbb{Z}^{d}\)-actions on compact abelian groups (1995) (0)
CHAPTER VII Zero entropy (1995) (0)
Invariant σ-algebras for ℤd-actions and their applications (1996) (0)
Ergodic Theory of ℤ d Actions: Introduction (1996) (0)
Markov Shifts in Higher Dimensions (1990) (0)
The Dynamics of Abelian Markov Groups (1990) (0)
Expansive automorphisms of compact groups (1995) (0)
Durham Research Online Deposited in DRO (2014) (0)
Institute for Mathematical Physics on Joint Recurrence (1997) (0)
Rokhlin’s Lemma and Asymptotic Invariance (1990) (0)
Ergodic Theory and Number Theory The work of Elon Lindenstrauss (2011) (0)
Institute for Mathematical Physics Remarks on Liv Sic' Theory for Nonabelian Cocycles Remarks on Liv Sic' Theory for Nonabelian Cocycles (2009) (0)
Addendum to the paper Affinely infinitely divisible distributions and the embedding problem (2005) (0)
CHAPTER IV Periodic points (1995) (0)
CHAPTER IX Rigidity (1995) (0)
NECESSARY AND SUFFICIENT CONDITIONS FOR CONSERVATIVENESS OF (1991) (0)
Symbolic covers of toral automorphisms (2013) (0)
Operator Algebras and Dynamical Systems (1990) (0)
Ergodic Theory and Number Theory (2010) (0)
Invariant Cocycles Have Abelian Ranges (2002) (0)
CHAPTER VIII Mixing (1995) (0)
ERGODIC THEORY FROM HUMSAN TO VIENNA (2006) (0)
ON THE COHOMOLOGY OF ALGEBRAIC Zd-ACTIONS WITH VALUES IN COMPACT LIE GROUPS (2006) (0)
Group actions by automorphisms of compact groups (1995) (0)
ℤd-actions on compact abelian groups (1995) (0)
Cohomology of Equivalence Relations (1990) (0)
CHAPTER I Group actions by automorphisms of compact groups (1995) (0)
Institute for Mathematical Physics Ergodic Decomposition of Quasi{invariant Probability Measures Ergodic Decomposition of Quasi-invariant Probability Measures (2009) (0)
The analysis of cocycles of first order on some special groups (1972) (0)
Markov Shifts and Markov Groups (1990) (0)

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