Edit Profile (opens in new tab) Schmidt, Klaus Co-Author Distance Author ID: schmidt.klaus Published as: Schmidt, Klaus; Schmidt, K. Homepage: http://www.mat.univie.ac.at/~kschmidt/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 116 Publications since 1970, including 6 Books 2 Contributions as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 40 Co-Authors with 62 Joint Publications 1,199 Co-Co-Authors all top 5 Co-Authors 53 single-authored 9 Lind, Douglas A. 6 Verbitskiy, Evgeny A. 5 Kitchens, Bruce P. 5 Parthasarathy, Kalyanapuram Rangachari 4 Einsiedler, Manfred Leopold 3 Greschonig, Gernot 3 Parry, William 2 Dani, Shrikrishna Gopalrao 2 Göll, Martin 2 Katok, Anatole 2 Lindenstrauss, Elon 2 Vershik, Anatoliĭ Moiseevich 2 Ward, Thomas B. 1 Aaronson, Jon 1 Baxter, Rodney J. 1 Bhattacharya, Siddhartha 1 Birman, Joan S. 1 Bisch, Dietmar H. 1 Butler, Roger A. R. 1 Conder, Marston Donald Edward 1 Connes, Alain 1 de la Harpe, Pierre 1 Deninger, Christopher 1 Eilenberger, Gert 1 Evans, David E. 1 Freedman, Michael Hartley 1 Gabriel, Patrick 1 Goodman, Fred J. 1 Guionnet, Alice 1 Hamachi, Toshihiro 1 Hawkins, Jane M. 1 Izumi, Masaki 1 Jaffe, Arthur Michael 1 Jones, Vaughan Frederick Randal 1 Kaimanovich, Vadim A. 1 Katok, Svetlana R. 1 Kawahigashi, Yasuyuki 1 Kirby, Robion Cromwell 1 Lehrer, Gustav Isaac 1 Lemańczyk, Mariusz 1 Li, Hanfeng 1 Longo, Roberto 1 Losert, Viktor 1 Mäkeläinen, Timo 1 Manning, Anthony 1 Martin, Gaven J. 1 Moor, Thomas 1 Moore, Calvin C. 1 Perk, Sebastian 1 Petersen, Karl E. 1 Peterson, Jess 1 Pollicott, Mark 1 Popa, Sorin Teodor 1 Putnam, Ian F. 1 Ratcliffe, John G. 1 Reshetikhin, Nikolai Yu. 1 Rudolph, Daniel J. 1 Schlickewei, Hans Peter 1 Shlyakhtenko, Dimitri L. 1 Skandalis, Georges 1 Skau, Christian Fredrik 1 Strasser, Gabriel 1 Styan, George P. H. 1 Sutherland, Colin E. 1 Tichy, Robert Franz 1 Walters, Peter 1 Witten, Edward 1 Woess, Wolfgang 1 Woodin, W. Hugh 1 Zinterhof, Peter all top 5 Serials 12 Ergodic Theory and Dynamical Systems 10 Israel Journal of Mathematics 7 Inventiones Mathematicae 6 Monatshefte für Mathematik 6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Proceedings of the London Mathematical Society. Third Series 3 Pacific Journal of Mathematics 3 Transactions of the American Mathematical Society 2 Communications in Mathematical Physics 2 Internationale Mathematische Nachrichten 2 Mathematical Research Letters 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Acta Mathematica 1 American Journal of Mathematics 1 The Annals of Statistics 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Computing 1 Fundamenta Mathematicae 1 IEEE Transactions on Automatic Control 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Sankhyā. Series A. Methods and Techniques 1 Topology and its Applications 1 Journal of Operator Theory 1 Probability Theory and Related Fields 1 Journal of the American Mathematical Society 1 Journal of Physics A: Mathematical and General 1 Notices of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 Documenta Mathematica 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Regular and Chaotic Dynamics 1 Lecture Notes in Mathematics 1 London Mathematical Society Lecture Note Series 1 Progress in Mathematics 1 Regional Conference Series in Mathematics 1 Developments in Mathematics 1 Modern Birkhäuser Classics 1 Mathematik Kompakt all top 5 Fields 62 Measure and integration (28-XX) 56 Dynamical systems and ergodic theory (37-XX) 32 Topological groups, Lie groups (22-XX) 22 Probability theory and stochastic processes (60-XX) 16 Abstract harmonic analysis (43-XX) 14 General topology (54-XX) 6 Number theory (11-XX) 6 Functional analysis (46-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Commutative algebra (13-XX) 4 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 1,638 times in 1,066 Documents Cited by ▼ Year ▼ Dynamical systems of algebraic origin. Zbl 0833.28001Schmidt, Klaus 143 1995 On periodic expansions of Pisot numbers and Salem numbers. Zbl 0494.10040Schmidt, Klaus 126 1980 Cocycles on ergodic transformation groups. Zbl 0421.28017Schmidt, Klaus 110 1977 Mahler measure and entropy for commuting automorphisms of compact groups. Zbl 0774.22002Lind, Douglas; Schmidt, Klaus; Ward, Thomas B. 88 1990 Positive definite kernels, continuous tensor products, and central limit theorems of probability theory. Zbl 0237.43005Parthasarathy, K. R.; Schmidt, K. 85 1972 Amenability, Kazhdan’s property T, strong ergodicity and invariant means for ergodic group-actions. Zbl 0485.28019Schmidt, Klaus 66 1981 Automorphisms of compact groups. Zbl 0709.54023Kitchens, Bruce; Schmidt, Klaus 50 1989 On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples. Zbl 0473.62004Maekelaeinen, Timo; Schmidt, Klaus; Styan, George P. H. 45 1981 Homoclinic points of algebraic \(\mathbb Z^d\)-actions. Zbl 0940.22004Lind, Douglas; Schmidt, Klaus 44 1999 Asymptotically invariant sequences and approximate finiteness. Zbl 0638.28014Jones, Vaughan F. R.; Schmidt, Klaus 36 1987 Expansive algebraic actions of discrete residually finite amenable groups and their entropy. Zbl 1128.22003Deninger, Christopher; Schmidt, Klaus 34 2007 Automorphisms of compact Abelian groups and affine varieties. Zbl 0789.28013Schmidt, Klaus 33 1990 Coboundaries and homomorphisms for non-singular actions and a problem of H. Helson. Zbl 0428.28014Moore, Calvin C.; Schmidt, Klaus 32 1980 Asymptotically invariant sequences and an action of SL(2,Z) on the 2- sphere. Zbl 0485.28018Schmidt, Klaus 32 1980 Symmetric Gibbs measures. Zbl 0873.28008Petersen, Karl; Schmidt, Klaus 29 1997 Rigidity of measurable structure for \(\mathbb Z^d\)-actions by automorphisms of a torus. Zbl 1035.37005Katok, Anatole; Katok, Svetlana; Schmidt, Klaus 25 2002 Asymptotic properties of unitary representations and mixing. Zbl 0539.28010Schmidt, Klaus 24 1984 Ergodic decomposition of quasi-invariant probability measures. Zbl 0972.37003Greschonig, Gernot; Schmidt, Klaus 23 2000 Mildly mixing actions of locally compact groups. Zbl 0523.28021Schmidt, Klaus; Walters, Peter 22 1982 Natural coefficients and invariants for Markov-shifts. Zbl 0563.28008Parry, William; Schmidt, Klaus 22 1984 On joint recurrence. Zbl 0923.60090Schmidt, Klaus 22 1998 The cohomology of higher-dimensional shifts of finite type. Zbl 0866.28016Schmidt, Klaus 21 1995 Symbolic and algebraic dynamical systems. Zbl 1044.37010Lind, Douglas; Schmidt, Klaus 20 2002 Algebraic coding of expansive group automorphisms and two-sided beta-shifts. Zbl 1010.37005Schmidt, Klaus 20 2000 Remarks on Livšic’ theory for nonabelian cocycles. Zbl 0955.37018Schmidt, Klaus 20 1999 Mixing automorphisms of compact groups and a theorem of Schlickewei. Zbl 0824.28012Schmidt, Klaus; Ward, Thomas B. 18 1993 Nonblocking hierarchical control of decentralized discrete event systems. Zbl 1367.93373Schmidt, Klaus; Moor, Thomas; Perk, Sebastian 17 2008 Invariants for finitary isomorphisms with finite expected code lengths. Zbl 0563.28009Schmidt, Klaus 16 1984 Almost block independence and Bernoullicity of \(\mathbb{Z}^ d\)-actions by automorphisms of compact Abelian groups. Zbl 0835.28007Rudolph, Daniel J.; Schmidt, Klaus 16 1995 Algebraic ideas in ergodic theory. Expository lectures from the CBMS regional conference held at the University of Washington, Seattle, USA, July 1989. Zbl 0719.28006Schmidt, Klaus 16 1990 Markov subgroups of \((\mathbb{Z}{}/ 2\mathbb{Z}{})^{\mathbb{Z}{}^ 2}\). Zbl 0774.58021Kitchens, Bruce; Schmidt, Klaus 16 1992 Homoclinic points, atoral polynomials, and periodic points of algebraic \(\mathbb{Z}^d\)-actions. Zbl 1294.37009Lind, Douglas; Schmidt, Klaus; Verbitskiy, Evgeny 15 2013 Dynamical systems of algebraic origin. Reprint of the 1995 edition. Zbl 1248.37004Schmidt, Klaus 15 2011 Abelian sandpiles and the harmonic model. Zbl 1217.37072Schmidt, Klaus; Verbitskiy, Evgeny 14 2009 Isomorphism rigidity of irreducible algebraic \(\mathbb{Z}^d\)-actions. Zbl 0970.22006Kitchens, Bruce; Schmidt, Klaus 14 2000 Factorisable representations of current groups and the Araki-Woods imbedding theorem. Zbl 0233.22003Parthasarathy, K. R.; Schmidt, K. 14 1972 Entropy and growth rate of periodic points of algebraic \(\mathbb Z^d\)-actions. Zbl 1217.54034Lind, Douglas; Schmidt, Klaus; Verbitskiy, Evgeny 13 2010 Invariant sets and measures of nonexpansive group automorphisms. Zbl 1076.28014Lindenstrauss, Elon; Schmidt, Klaus 13 2004 Multi-dimensional symbolic dynamical systems. Zbl 0990.37011Schmidt, Klaus 12 2001 On recurrence. Zbl 0535.60003Schmidt, Klaus 11 1984 Mixing sets and relative entropies for higher-dimensional Markov shifts. Zbl 0799.58043Kitchens, Bruce; Schmidt, Klaus 11 1993 A new method for constructing factorisable representations for current groups and current algebras. Zbl 0332.43009Parthasarathy, K. R.; Schmidt, K. 11 1976 \(C^ *\)-algebras associated with Denjoy homeomorphisms of the circle. Zbl 0611.46067Putnam, Ian; Schmidt, Klaus; Skau, Christian 10 1986 A cylinder flow arising from irregularity of distribution. Zbl 0388.28019Schmidt, K. 10 1978 A survey of algebraic actions of the discrete Heisenberg group. Zbl 1357.37041Lind, Douglas; Schmidt, Klaus 9 2015 Symbolic representations of nonexpansive group automorphisms. Zbl 1087.37010Lindenstrauss, Elon; Schmidt, Klaus 9 2005 On \(C^2\)-diffeomorphisms of the circle which are of type III\(_1\). Zbl 0506.58019Hawkins, Jane; Schmidt, Klaus 9 1982 Tilings, fundamental cocycles and fundamental groups of symbolic \(\mathbb{Z}^d\)-actions. Zbl 0915.58030Schmidt, Klaus 9 1998 Markov partitions and homoclinic points of algebraic \(\mathbb{Z}^d\)-actions. Zbl 0954.37008Einsiedler, M.; Schmidt, K. 9 1997 Irreducibility, homoclinic points and adjoint actions of algebraic \(\mathbb Z^d\)-actions of rank one. Zbl 1030.37016Einsiedler, Manfred; Schmidt, Klaus 9 2002 Mixing automorphisms of compact groups and a theorem by Kurt Mahler. Zbl 0678.22002Schmidt, Klaus 8 1989 The cohomology of expansive \(\mathbb{Z}^ d\)-actions by automorphisms of compact, Abelian groups. Zbl 0866.28015Katok, Anatole B.; Schmidt, Klaus 8 1995 On a characterisation of certain infinitely divisible positive definite functions and measures. Zbl 0236.43007Schmidt, K. 7 1972 A note on cocycles of unitary representations. Zbl 0329.22008Parry, W.; Schmidt, K. 7 1976 Hyperbolic structure preserving isomorphisms of Markov shifts. Zbl 0615.28011Schmidt, Klaus 6 1986 Ergodicity of principal algebraic group actions. Zbl 1332.37008Li, Hanfeng; Peterson, Jess; Schmidt, Klaus 6 2015 Periodic points, decidability and Markov subgroups. Zbl 0664.58029Kitchens, Bruce; Schmidt, Klaus 6 1988 Algebraic polymorphisms. Zbl 1154.37304Schmidt, Klaus; Vershik, Anatoly 6 2008 The dynamics of algebraic \(\mathbb{Z}^d\)-actions. Zbl 1071.28011Schmidt, Klaus 6 2001 An information cocycle for groups of non-singular transformations. Zbl 0557.28019Butler, Roger; Schmidt, Klaus 5 1985 A probabilistic proof of ergodic decomposition. Zbl 0412.60004Schmidt, Klaus 5 1978 Spectra of ergodic group actions. Zbl 0498.28018Schmidt, Klaus 5 1982 Homoclinic points and isomorphism rigidity of algebraic \(\mathbb Z^d\)-actions on zero-dimensional compact abelian groups. Zbl 1274.37016Bhattacharya, Siddhartha; Schmidt, Klaus 5 2003 Stable positive definite functions. Zbl 0314.43004Parthasarathy, K. R.; Schmidt, K. 5 1975 On the cohomology of a hyperfinite action. Zbl 0384.28017Parthasarathy, K. R.; Schmidt, K. 5 1977 Hyperbolic structure preserving isomorphisms of Markov shifts. II. Zbl 0632.28010Schmidt, Klaus 4 1987 A class of probability measures on groups arising from some problems in ergodic theory. Zbl 0467.60011Losert, Viktor; Schmidt, Klaus 4 1979 Invariant measures for certain expansive \(\mathbb{Z}^ 2\)-actions. Zbl 0829.28009Schmidt, Klaus 4 1995 Invariant cocycles, random tilings and the super-\(K\) and strong Markov properties. Zbl 0873.28007Schmidt, Klaus 4 1997 Extensions of cocycles for hyperfinite actions and applications. Zbl 0887.28008Gabriel, P.; Lemańczyk, M.; Schmidt, K. 4 1997 From infinitely divisible representations to cohomological rigidity. Zbl 0946.22008Schmidt, Klaus 4 1996 Algebraic actions of the discrete Heisenberg group: expansiveness and homoclinic points. Zbl 1295.37005Göll, Martin; Schmidt, Klaus; Verbitskiy, Evgeny 4 2014 The adjoint action of an expansive algebraic \(Z^d\)-Action. Zbl 1007.22014Einsiedler, Manfred; Schmidt, Klaus 4 2002 Unique ergodicty for quasi-invariant measures. Zbl 0416.28013Schmidt, Klaus 3 1979 Cohomological rigidity of algebraic \(\mathbb{Z}^ d\)-actions. Zbl 0868.22010Schmidt, K. 3 1995 Ergodic theory of \(\mathbb{Z}^ d\) actions. Proceedings of the Warwick symposium, Warwick, UK, 1993-94. Zbl 0836.00035 3 1996 Associated actions and uniqueness of cocycles. Zbl 1008.37003Aaronson, Jon; Hamachi, Toshihiro; Schmidt, Klaus 3 1995 Recurrence of cocycles and stationary random walks. Zbl 1137.37004Schmidt, Klaus 3 2006 Über die C-Gleichverteilung von Maßen. Zbl 0197.32602Schmidt, Klaus 3 1971 Stable probability measures on \(\mathbb{R}^\nu\). Zbl 0347.60015Schmidt, K. 3 1975 Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems. Zbl 1458.65082Egger, H.; Schmidt, K.; Shashkov, V. 2 2021 Invariants of finitary isomorphisms with finite expected code-lengths. Zbl 0549.28023Parry, William; Schmidt, Klaus 2 1984 Some solved and unsolved problems concerning orbit equivalence of countable group actions. Zbl 0646.28009Schmidt, Klaus 2 1987 Bernoullicity of solenoidal automorphisms and global fields. Zbl 0809.28012Lind, Douglas; Schmidt, Klaus 2 1994 Quotients of \(\ell^\infty(\mathbb Z,\mathbb Z)\) and symbolic covers of toral automorphisms. Zbl 1109.37011Schmidt, Klaus 2 2006 Representations of toral automorphisms. Zbl 1353.37091Schmidt, Klaus 2 2016 Affinely infinitely divisible distributions and the embedding problem. Zbl 1028.43001Dani, S. G.; Schmidt, Klaus 2 2002 Über einen Zusammenhang zwischen gleichverteilten Punkt- und Maßfolgen. Zbl 0199.52302Schmidt, Klaus 2 1970 Limits of uniformly infinitesimal families of projective representations of locally compact groups. Zbl 0214.13502Schmidt, K. 2 1971 Infinite invariant measures on the circle. Zbl 0375.28013Schmidt, Klaus 2 1977 Permutations of \(\mathbb {Z}^d\) with restricted movement. Zbl 1361.37015Schmidt, Klaus; Strasser, Gabriel 1 2016 Coding of Markov shifts. Zbl 0631.28009Schmidt, Klaus 1 1985 Strong ergodicity and quotients of equivalence relations. Zbl 0688.28010Schmidt, Klaus 1 1988 Unique ergodicity and related problems. Zbl 0439.28014Schmidt, Klaus 1 1979 A Wiener lemma for the discrete Heisenberg group. Invertibility criteria and applications to algebraic dynamics. Zbl 1346.54017Göll, Martin; Schmidt, Klaus; Verbitskiy, Evgeny 1 2016 Poincaré maps of Duffing-type oscillators and their reduction to circle maps. II: Methods and numerical results. Zbl 0904.34030Schmidt, K.; Eilenberger, G. 1 1998 Über Quadraturformeln auf \(T^ \omega\). Zbl 0216.48602Schmidt, K.; Zinterhof, P. 1 1970 Memories of Vaughan Jones. Zbl 1480.01028Bisch, Dietmar; Evans, David E.; Kirby, Robion; Popa, Sorin 1 2021 Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems. Zbl 1458.65082Egger, H.; Schmidt, K.; Shashkov, V. 2 2021 Memories of Vaughan Jones. Zbl 1480.01028Bisch, Dietmar; Evans, David E.; Kirby, Robion; Popa, Sorin 1 2021 Representations of toral automorphisms. Zbl 1353.37091Schmidt, Klaus 2 2016 Permutations of \(\mathbb {Z}^d\) with restricted movement. Zbl 1361.37015Schmidt, Klaus; Strasser, Gabriel 1 2016 A Wiener lemma for the discrete Heisenberg group. Invertibility criteria and applications to algebraic dynamics. Zbl 1346.54017Göll, Martin; Schmidt, Klaus; Verbitskiy, Evgeny 1 2016 A survey of algebraic actions of the discrete Heisenberg group. Zbl 1357.37041Lind, Douglas; Schmidt, Klaus 9 2015 Ergodicity of principal algebraic group actions. Zbl 1332.37008Li, Hanfeng; Peterson, Jess; Schmidt, Klaus 6 2015 Algebraic actions of the discrete Heisenberg group: expansiveness and homoclinic points. Zbl 1295.37005Göll, Martin; Schmidt, Klaus; Verbitskiy, Evgeny 4 2014 Homoclinic points, atoral polynomials, and periodic points of algebraic \(\mathbb{Z}^d\)-actions. Zbl 1294.37009Lind, Douglas; Schmidt, Klaus; Verbitskiy, Evgeny 15 2013 Dynamical systems of algebraic origin. Reprint of the 1995 edition. Zbl 1248.37004Schmidt, Klaus 15 2011 Entropy and growth rate of periodic points of algebraic \(\mathbb Z^d\)-actions. Zbl 1217.54034Lind, Douglas; Schmidt, Klaus; Verbitskiy, Evgeny 13 2010 Abelian sandpiles and the harmonic model. Zbl 1217.37072Schmidt, Klaus; Verbitskiy, Evgeny 14 2009 Nonblocking hierarchical control of decentralized discrete event systems. Zbl 1367.93373Schmidt, Klaus; Moor, Thomas; Perk, Sebastian 17 2008 Algebraic polymorphisms. Zbl 1154.37304Schmidt, Klaus; Vershik, Anatoly 6 2008 Expansive algebraic actions of discrete residually finite amenable groups and their entropy. Zbl 1128.22003Deninger, Christopher; Schmidt, Klaus 34 2007 Recurrence of cocycles and stationary random walks. Zbl 1137.37004Schmidt, Klaus 3 2006 Quotients of \(\ell^\infty(\mathbb Z,\mathbb Z)\) and symbolic covers of toral automorphisms. Zbl 1109.37011Schmidt, Klaus 2 2006 Symbolic representations of nonexpansive group automorphisms. Zbl 1087.37010Lindenstrauss, Elon; Schmidt, Klaus 9 2005 Invariant sets and measures of nonexpansive group automorphisms. Zbl 1076.28014Lindenstrauss, Elon; Schmidt, Klaus 13 2004 Homoclinic points and isomorphism rigidity of algebraic \(\mathbb Z^d\)-actions on zero-dimensional compact abelian groups. Zbl 1274.37016Bhattacharya, Siddhartha; Schmidt, Klaus 5 2003 Rigidity of measurable structure for \(\mathbb Z^d\)-actions by automorphisms of a torus. Zbl 1035.37005Katok, Anatole; Katok, Svetlana; Schmidt, Klaus 25 2002 Symbolic and algebraic dynamical systems. Zbl 1044.37010Lind, Douglas; Schmidt, Klaus 20 2002 Irreducibility, homoclinic points and adjoint actions of algebraic \(\mathbb Z^d\)-actions of rank one. Zbl 1030.37016Einsiedler, Manfred; Schmidt, Klaus 9 2002 The adjoint action of an expansive algebraic \(Z^d\)-Action. Zbl 1007.22014Einsiedler, Manfred; Schmidt, Klaus 4 2002 Affinely infinitely divisible distributions and the embedding problem. Zbl 1028.43001Dani, S. G.; Schmidt, Klaus 2 2002 Multi-dimensional symbolic dynamical systems. Zbl 0990.37011Schmidt, Klaus 12 2001 The dynamics of algebraic \(\mathbb{Z}^d\)-actions. Zbl 1071.28011Schmidt, Klaus 6 2001 Ergodic decomposition of quasi-invariant probability measures. Zbl 0972.37003Greschonig, Gernot; Schmidt, Klaus 23 2000 Algebraic coding of expansive group automorphisms and two-sided beta-shifts. Zbl 1010.37005Schmidt, Klaus 20 2000 Isomorphism rigidity of irreducible algebraic \(\mathbb{Z}^d\)-actions. Zbl 0970.22006Kitchens, Bruce; Schmidt, Klaus 14 2000 Homoclinic points of algebraic \(\mathbb Z^d\)-actions. Zbl 0940.22004Lind, Douglas; Schmidt, Klaus 44 1999 Remarks on Livšic’ theory for nonabelian cocycles. Zbl 0955.37018Schmidt, Klaus 20 1999 On joint recurrence. Zbl 0923.60090Schmidt, Klaus 22 1998 Tilings, fundamental cocycles and fundamental groups of symbolic \(\mathbb{Z}^d\)-actions. Zbl 0915.58030Schmidt, Klaus 9 1998 Poincaré maps of Duffing-type oscillators and their reduction to circle maps. II: Methods and numerical results. Zbl 0904.34030Schmidt, K.; Eilenberger, G. 1 1998 Symmetric Gibbs measures. Zbl 0873.28008Petersen, Karl; Schmidt, Klaus 29 1997 Markov partitions and homoclinic points of algebraic \(\mathbb{Z}^d\)-actions. Zbl 0954.37008Einsiedler, M.; Schmidt, K. 9 1997 Invariant cocycles, random tilings and the super-\(K\) and strong Markov properties. Zbl 0873.28007Schmidt, Klaus 4 1997 Extensions of cocycles for hyperfinite actions and applications. Zbl 0887.28008Gabriel, P.; Lemańczyk, M.; Schmidt, K. 4 1997 From infinitely divisible representations to cohomological rigidity. Zbl 0946.22008Schmidt, Klaus 4 1996 Ergodic theory of \(\mathbb{Z}^ d\) actions. Proceedings of the Warwick symposium, Warwick, UK, 1993-94. Zbl 0836.00035 3 1996 Dynamical systems of algebraic origin. Zbl 0833.28001Schmidt, Klaus 143 1995 The cohomology of higher-dimensional shifts of finite type. Zbl 0866.28016Schmidt, Klaus 21 1995 Almost block independence and Bernoullicity of \(\mathbb{Z}^ d\)-actions by automorphisms of compact Abelian groups. Zbl 0835.28007Rudolph, Daniel J.; Schmidt, Klaus 16 1995 The cohomology of expansive \(\mathbb{Z}^ d\)-actions by automorphisms of compact, Abelian groups. Zbl 0866.28015Katok, Anatole B.; Schmidt, Klaus 8 1995 Invariant measures for certain expansive \(\mathbb{Z}^ 2\)-actions. Zbl 0829.28009Schmidt, Klaus 4 1995 Cohomological rigidity of algebraic \(\mathbb{Z}^ d\)-actions. Zbl 0868.22010Schmidt, K. 3 1995 Associated actions and uniqueness of cocycles. Zbl 1008.37003Aaronson, Jon; Hamachi, Toshihiro; Schmidt, Klaus 3 1995 Bernoullicity of solenoidal automorphisms and global fields. Zbl 0809.28012Lind, Douglas; Schmidt, Klaus 2 1994 Mixing automorphisms of compact groups and a theorem of Schlickewei. Zbl 0824.28012Schmidt, Klaus; Ward, Thomas B. 18 1993 Mixing sets and relative entropies for higher-dimensional Markov shifts. Zbl 0799.58043Kitchens, Bruce; Schmidt, Klaus 11 1993 Markov subgroups of \((\mathbb{Z}{}/ 2\mathbb{Z}{})^{\mathbb{Z}{}^ 2}\). Zbl 0774.58021Kitchens, Bruce; Schmidt, Klaus 16 1992 Mahler measure and entropy for commuting automorphisms of compact groups. Zbl 0774.22002Lind, Douglas; Schmidt, Klaus; Ward, Thomas B. 88 1990 Automorphisms of compact Abelian groups and affine varieties. Zbl 0789.28013Schmidt, Klaus 33 1990 Algebraic ideas in ergodic theory. Expository lectures from the CBMS regional conference held at the University of Washington, Seattle, USA, July 1989. Zbl 0719.28006Schmidt, Klaus 16 1990 Automorphisms of compact groups. Zbl 0709.54023Kitchens, Bruce; Schmidt, Klaus 50 1989 Mixing automorphisms of compact groups and a theorem by Kurt Mahler. Zbl 0678.22002Schmidt, Klaus 8 1989 Periodic points, decidability and Markov subgroups. Zbl 0664.58029Kitchens, Bruce; Schmidt, Klaus 6 1988 Strong ergodicity and quotients of equivalence relations. Zbl 0688.28010Schmidt, Klaus 1 1988 Asymptotically invariant sequences and approximate finiteness. Zbl 0638.28014Jones, Vaughan F. R.; Schmidt, Klaus 36 1987 Hyperbolic structure preserving isomorphisms of Markov shifts. II. Zbl 0632.28010Schmidt, Klaus 4 1987 Some solved and unsolved problems concerning orbit equivalence of countable group actions. Zbl 0646.28009Schmidt, Klaus 2 1987 \(C^ *\)-algebras associated with Denjoy homeomorphisms of the circle. Zbl 0611.46067Putnam, Ian; Schmidt, Klaus; Skau, Christian 10 1986 Hyperbolic structure preserving isomorphisms of Markov shifts. Zbl 0615.28011Schmidt, Klaus 6 1986 An information cocycle for groups of non-singular transformations. Zbl 0557.28019Butler, Roger; Schmidt, Klaus 5 1985 Coding of Markov shifts. Zbl 0631.28009Schmidt, Klaus 1 1985 Asymptotic properties of unitary representations and mixing. Zbl 0539.28010Schmidt, Klaus 24 1984 Natural coefficients and invariants for Markov-shifts. Zbl 0563.28008Parry, William; Schmidt, Klaus 22 1984 Invariants for finitary isomorphisms with finite expected code lengths. Zbl 0563.28009Schmidt, Klaus 16 1984 On recurrence. Zbl 0535.60003Schmidt, Klaus 11 1984 Invariants of finitary isomorphisms with finite expected code-lengths. Zbl 0549.28023Parry, William; Schmidt, Klaus 2 1984 Mildly mixing actions of locally compact groups. Zbl 0523.28021Schmidt, Klaus; Walters, Peter 22 1982 On \(C^2\)-diffeomorphisms of the circle which are of type III\(_1\). Zbl 0506.58019Hawkins, Jane; Schmidt, Klaus 9 1982 Spectra of ergodic group actions. Zbl 0498.28018Schmidt, Klaus 5 1982 Amenability, Kazhdan’s property T, strong ergodicity and invariant means for ergodic group-actions. Zbl 0485.28019Schmidt, Klaus 66 1981 On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples. Zbl 0473.62004Maekelaeinen, Timo; Schmidt, Klaus; Styan, George P. H. 45 1981 On periodic expansions of Pisot numbers and Salem numbers. Zbl 0494.10040Schmidt, Klaus 126 1980 Coboundaries and homomorphisms for non-singular actions and a problem of H. Helson. Zbl 0428.28014Moore, Calvin C.; Schmidt, Klaus 32 1980 Asymptotically invariant sequences and an action of SL(2,Z) on the 2- sphere. Zbl 0485.28018Schmidt, Klaus 32 1980 A class of probability measures on groups arising from some problems in ergodic theory. Zbl 0467.60011Losert, Viktor; Schmidt, Klaus 4 1979 Unique ergodicty for quasi-invariant measures. Zbl 0416.28013Schmidt, Klaus 3 1979 Unique ergodicity and related problems. Zbl 0439.28014Schmidt, Klaus 1 1979 A cylinder flow arising from irregularity of distribution. Zbl 0388.28019Schmidt, K. 10 1978 A probabilistic proof of ergodic decomposition. Zbl 0412.60004Schmidt, Klaus 5 1978 Cocycles on ergodic transformation groups. Zbl 0421.28017Schmidt, Klaus 110 1977 On the cohomology of a hyperfinite action. Zbl 0384.28017Parthasarathy, K. R.; Schmidt, K. 5 1977 Infinite invariant measures on the circle. Zbl 0375.28013Schmidt, Klaus 2 1977 A new method for constructing factorisable representations for current groups and current algebras. Zbl 0332.43009Parthasarathy, K. R.; Schmidt, K. 11 1976 A note on cocycles of unitary representations. Zbl 0329.22008Parry, W.; Schmidt, K. 7 1976 Stable positive definite functions. Zbl 0314.43004Parthasarathy, K. R.; Schmidt, K. 5 1975 Stable probability measures on \(\mathbb{R}^\nu\). Zbl 0347.60015Schmidt, K. 3 1975 Positive definite kernels, continuous tensor products, and central limit theorems of probability theory. Zbl 0237.43005Parthasarathy, K. R.; Schmidt, K. 85 1972 Factorisable representations of current groups and the Araki-Woods imbedding theorem. Zbl 0233.22003Parthasarathy, K. R.; Schmidt, K. 14 1972 On a characterisation of certain infinitely divisible positive definite functions and measures. Zbl 0236.43007Schmidt, K. 7 1972 Über die C-Gleichverteilung von Maßen. Zbl 0197.32602Schmidt, Klaus 3 1971 Limits of uniformly infinitesimal families of projective representations of locally compact groups. Zbl 0214.13502Schmidt, K. 2 1971 Über einen Zusammenhang zwischen gleichverteilten Punkt- und Maßfolgen. Zbl 0199.52302Schmidt, Klaus 2 1970 Über Quadraturformeln auf \(T^ \omega\). Zbl 0216.48602Schmidt, K.; Zinterhof, P. 1 1970 all cited Publications top 5 cited Publications all top 5 Cited by 1,003 Authors 44 Schmidt, Klaus 18 Jørgensen, Palle E. T. 17 Ward, Thomas B. 14 Danilenko, Alexandre I. 14 Lemańczyk, Mariusz 13 Vershik, Anatoliĭ Moiseevich 12 Li, Hanfeng 11 Ioana, Adrian 11 Meyerovitch, Tom 11 Miles, Richard B. 11 Tucker-Drob, Robin D. 10 Marcus, Brian H. 10 Sarig, Omri M. 9 Bowen, Lewis Phylip 9 Tuncel, Selim 8 Baake, Michael 8 Bergelson, Vitaly 8 Boyle, Mike 8 Frougny, Christiane 8 Giordano Bruno, Anna 8 Lind, Douglas A. 8 Lindenstrauss, Elon 8 Masáková, Zuzana 8 Pelantová, Edita 8 Sadovskaya, Victoria 8 Zimmer, Robert J. 7 Aaronson, Jon 7 Abért, Miklós 7 Akiyama, Shigeki 7 Dikranjan, Dikran N. 7 Hayes, Ben 7 Kalinin, Boris 7 Kida, Yoshikata 7 Kosloff, Zemer 7 Pène, Françoise 7 Steiner, Wolfgang 7 Vaes, Stefaan 7 Verbitskiy, Evgeny A. 6 Ban, Jungchao 6 Bhattacharya, Siddhartha 6 Ceccherini-Silberstein, Tullio G. 6 Chandgotia, Nishant 6 Coornaert, Michel 6 Kanigowski, Adam 6 Katok, Anatole 6 Li, Bing 6 Parthasarathy, Kalyanapuram Rangachari 6 Petersen, Karl E. 6 Pollicott, Mark 6 Vladimirov, Igor G. 5 Albeverio, Sergio A. 5 Anastasiou, Andreas 5 Barbieri, Sebastián 5 Boyd, David William 5 Bradley, Richard C. jun. 5 Chang, Chih-Hung 5 Charlier, Emilie 5 Deninger, Christopher 5 Dolgopyat, Dmitry 5 Einsiedler, Manfred Leopold 5 Everest, Graham Robert 5 Gheondea, Aurelian 5 Golodets, Valentin Yakovlevich 5 Graev, Mark Iosifovich 5 Jiang, Yongle 5 Jonoska, Nataša 5 Kechris, Alexander S. 5 Lenci, Marco 5 Liang, Bingbing 5 Parry, William 5 Petersen, Ian Richard 5 Popa, Sorin Teodor 5 Rosenblatt, Joseph Max 5 Shah, Riddhi 5 Silver, Daniel S. 5 Spaas, Pieter 5 Surer, Paul 5 Törnquist, Asger 5 Vávra, Tomáš 5 Weiss, Benjamin 5 Williams, Susan G. 4 Backes, Lucas H. 4 Baggett, Lawrence Wasson 4 Barge, Marcy M. 4 Bekka, Mohammed el Bachir 4 Berend, Daniel 4 Berthé, Valérie 4 Bezuglyi, Sergey I. 4 Bhat, B. V. Rajarama 4 Chung, Nhan-Phu 4 Cisternino, Célia 4 Conze, Jean-Pierre 4 Dong, Changguang 4 Dzhalilov, Akhtam Abdurakhmanovich 4 Fel’dman, Gennadiĭ Mikhaĭlovich 4 Fokkink, Robbert Johan 4 Gorodnik, Alexander 4 Greschonig, Gernot 4 Grigorchuk, Rostislav Ivanovich 4 Hbaib, Mohamed ...and 903 more Authors all top 5 Cited in 258 Serials 120 Ergodic Theory and Dynamical Systems 72 Israel Journal of Mathematics 46 Transactions of the American Mathematical Society 33 Proceedings of the American Mathematical Society 32 Journal of Functional Analysis 24 Monatshefte für Mathematik 23 Inventiones Mathematicae 19 Discrete and Continuous Dynamical Systems 18 Journal of Mathematical Analysis and Applications 18 Advances in Mathematics 16 Communications in Mathematical Physics 15 Mathematische Zeitschrift 15 Indagationes Mathematicae. New Series 12 Theoretical Computer Science 11 Journal of Number Theory 10 Annales de l’Institut Fourier 9 Journal d’Analyse Mathématique 9 Journal of Statistical Physics 9 Journal of Theoretical Probability 9 Geometric and Functional Analysis. GAFA 9 Journal of Modern Dynamics 8 Journal of Mathematical Physics 8 The Annals of Probability 8 Compositio Mathematica 8 Topology and its Applications 8 Dynamical Systems 8 Groups, Geometry, and Dynamics 7 Duke Mathematical Journal 7 Mathematische Annalen 7 Journal of the American Mathematical Society 6 Nonlinearity 6 Studia Mathematica 6 Journal für die Reine und Angewandte Mathematik 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Statistics & Probability Letters 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Annals of Mathematics. Second Series 6 International Journal of Number Theory 5 Functional Analysis and its Applications 5 Geometriae Dedicata 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Acta Mathematica Hungarica 5 Probability Theory and Related Fields 5 Communications in Statistics. Theory and Methods 5 Linear Algebra and its Applications 5 Journal de Théorie des Nombres de Bordeaux 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 Bulletin of the Australian Mathematical Society 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Mathematics of Computation 4 Bulletin de la Société Mathématique de France 4 Journal of Multivariate Analysis 4 Kybernetika 4 Memoirs of the American Mathematical Society 4 Statistics 4 Expositiones Mathematicae 4 Journal of Knot Theory and its Ramifications 4 Journal of Mathematical Sciences (New York) 4 Electronic Research Announcements of the American Mathematical Society 3 Mathematical Notes 3 Rocky Mountain Journal of Mathematics 3 Acta Arithmetica 3 Archiv der Mathematik 3 Bulletin of the London Mathematical Society 3 Canadian Journal of Mathematics 3 Colloquium Mathematicum 3 Dissertationes Mathematicae 3 Fundamenta Mathematicae 3 Journal of Algebra 3 Journal of Pure and Applied Algebra 3 Journal of Soviet Mathematics 3 Osaka Journal of Mathematics 3 Proceedings of the London Mathematical Society. Third Series 3 Semigroup Forum 3 Acta Applicandae Mathematicae 3 Physica D 3 Journal of Dynamics and Differential Equations 3 Finite Fields and their Applications 3 Documenta Mathematica 3 Journal of the European Mathematical Society (JEMS) 3 Qualitative Theory of Dynamical Systems 3 Research in Number Theory 2 Indian Journal of Pure & Applied Mathematics 2 Letters in Mathematical Physics 2 Reports on Mathematical Physics 2 Russian Mathematical Surveys 2 Reviews in Mathematical Physics 2 Acta Mathematica 2 Annals of the Institute of Statistical Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Statistics 2 Automatica 2 Glasgow Mathematical Journal 2 Illinois Journal of Mathematics 2 Indiana University Mathematics Journal 2 Publications Mathématiques 2 Journal of Econometrics 2 Journal of the London Mathematical Society. Second Series 2 Journal of Statistical Planning and Inference 2 The Journal of Symbolic Logic ...and 158 more Serials all top 5 Cited in 56 Fields 594 Dynamical systems and ergodic theory (37-XX) 211 Measure and integration (28-XX) 178 Number theory (11-XX) 172 Topological groups, Lie groups (22-XX) 158 Probability theory and stochastic processes (60-XX) 112 Functional analysis (46-XX) 79 Abstract harmonic analysis (43-XX) 74 Group theory and generalizations (20-XX) 61 Computer science (68-XX) 53 General topology (54-XX) 51 Operator theory (47-XX) 50 Statistics (62-XX) 41 Statistical mechanics, structure of matter (82-XX) 35 Combinatorics (05-XX) 35 Quantum theory (81-XX) 28 Manifolds and cell complexes (57-XX) 25 Convex and discrete geometry (52-XX) 19 Mathematical logic and foundations (03-XX) 15 Information and communication theory, circuits (94-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Systems theory; control (93-XX) 11 Commutative algebra (13-XX) 11 Associative rings and algebras (16-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Nonassociative rings and algebras (17-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Field theory and polynomials (12-XX) 9 Differential geometry (53-XX) 8 Algebraic geometry (14-XX) 8 \(K\)-theory (19-XX) 7 Algebraic topology (55-XX) 5 Functions of a complex variable (30-XX) 5 Potential theory (31-XX) 5 Several complex variables and analytic spaces (32-XX) 4 History and biography (01-XX) 4 Category theory; homological algebra (18-XX) 4 Partial differential equations (35-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Real functions (26-XX) 3 Geometry (51-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 General algebraic systems (08-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.