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Author ID: petersen.karl-e Recent zbMATH articles by "Petersen, Karl E."
Published as: Petersen, Karl; Petersen, Karl E.; Petersen, K. E.; Petersen, K.

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 689 times in 588 Documents Cited by Year
Ergodic theory. Zbl 0507.28010
Petersen, Karl
222
1983
Ergodic theory. 1st paperback ed. Zbl 0676.28008
Petersen, Karl
70
1989
Disjointness and weak mixing of minimal sets. Zbl 0188.55503
Petersen, K. E.
31
1970
Symmetric Gibbs measures. Zbl 0873.28008
Petersen, Karl; Schmidt, Klaus
30
1997
Chains, entropy, coding. Zbl 0587.28018
Petersen, Karl
28
1986
On a series of cosecants related to a problem in ergodic theory. Zbl 0269.10030
Petersen, Karl
26
1973
Dynamical properties of the Pascal adic transformation. Zbl 1069.37007
Méla, Xavier; Petersen, Karl
24
2005
Induced flows. Zbl 0229.54036
Petersen, Karl; Shapiro, Leonard
19
1973
The speed of convergence in the ergodic theorem. Zbl 0446.28015
Kakutani, Shizuo; Petersen, Karl
15
1981
Tree shift topological entropy. Zbl 1409.37022
Petersen, Karl; Salama, Ibrahim
15
2018
Hidden Markov processes in the context of symbolic dynamics. Zbl 1298.60005
Boyle, Mike; Petersen, Karl
14
2011
Measures of maximal relative entropy. Zbl 1036.37002
Petersen, Karl; Quas, Anthony; Shin, Sujin
13
2003
A topologically strongly mixing symbolic minimal set. Zbl 0194.55001
Petersen, K. E.
13
1970
Some analytic functions whose boundary values have bounded mean oscillation. Zbl 0313.30032
Cima, Joseph A.; Petersen, Karl E.
12
1976
Brownian motion, Hardy spaces and bounded mean oscillation. Zbl 0363.60004
Petersen, K. E.
12
1977
Entropy on regular trees. Zbl 1442.37033
Petersen, Karl; Salama, Ibrahim
11
2020
Ergodicity of the adic transformation on the Euler graph. Zbl 1112.28012
Bailey, Sarah; Keane, Michael; Petersen, Karl; Salama, Ibrahim A.
10
2006
Random permutations and unique fully supported ergodicity for the Euler adic transformation. Zbl 1175.37005
Frick, Sarah Bailey; Petersen, Karl
10
2008
Constructive symbolic presentations of rank one measure-preserving systems. Zbl 1386.37001
Adams, Terrence; Ferenczi, Sébastien; Petersen, Karl
10
2017
Transmission rates and factors of Markov chains. Zbl 0549.28022
Marcus, Brian; Petersen, Karl; Williams, Susan
9
1984
On the definition of relative pressure for factor maps on shifts of finite type. Zbl 1074.37011
Petersen, Karl; Shin, Sujin
8
2005
Random ergodic theorems with universally representative sequences. Zbl 0813.28004
Lacey, Michael; Petersen, Karl; Wierdl, Mate; Rudolph, Dan
8
1994
Entropy of hidden Markov processes and connections to dynamical systems. Papers from the Banff International Research Station workshop, Banff, Canada, October 2007. Zbl 1218.93006
7
2011
The Euler adic dynamical system and path counts in the Euler graph. Zbl 1213.37008
Petersen, Karl; Varchenko, Alexander
7
2010
The spectral measure and Hilbert transform of a measure-preserving transformation. Zbl 0675.28010
Campbell, James; Petersen, Karl
6
1989
Factor maps between tiling dynamical systems. Zbl 0930.54031
Petersen, Karl
6
1999
Reinforced random walks and adic transformations. Zbl 1217.37004
Frick, Sarah Bailey; Petersen, Karl
6
2010
Another proof of the existence of the ergodic Hilbert transform. Zbl 0521.28014
Petersen, Karl
5
1983
Binomial-coefficient multiples of irrationals. Zbl 0956.28014
Adams, Terrence M.; Petersen, Karl E.
5
1998
Dynamical properties of some adic systems with arbitrary orderings. Zbl 1380.37026
Frick, Sarah; Petersen, Karl; Shields, Sandi
5
2017
Information compression and retention in dynamical processes. Zbl 1030.37008
Petersen, Karl
5
2002
The spectrum and commutant of a certain weighted translation operator. Zbl 0316.47006
Petersen, Karl
4
1976
Balancing ergodic averages. Zbl 0429.28018
Marcus, Brian; Petersen, Karl
4
1979
Easy and nearly simultaneous proofs of the ergodic theorem and maximal ergodic theorem. Zbl 1121.37301
Keane, Michael; Petersen, Karl
3
2006
Spectra of induced transformations. Zbl 0255.28013
Petersen, Karl
2
1973
Markov diagrams for some non-Markovian systems. Zbl 1364.37025
Carroll, Kathleen; Petersen, Karl
2
2016
Dynamical intricacy and average sample complexity. Zbl 1397.37017
Petersen, Karl; Wilson, Benjamin
2
2018
The ergodic theorem with time compression. Zbl 0662.28011
Petersen, Karl
1
1988
An adic dynamical system related to the Delannoy numbers. Zbl 1257.37006
Petersen, Karl
1
2012
Ergodic theory and its connections with harmonic analysis. Proceedings of the 1993 Alexandria conference, Alexandria, Egypt, May 24-28, 1993. Zbl 0824.00030
1
1995
Extension of minimal transformation groups. Zbl 0225.54041
Petersen, Karl E.
1
1971
Random power series generated by ergodic transformations. Zbl 0612.30004
Halchin, Judy; Petersen, Karl
1
1986
Bounded exponential sums. Zbl 0701.11026
Lesigne, Emmanuel; Petersen, Karl
1
1990
The helical transform as a connection between ergodic theory and harmonic analysis. Zbl 0768.47001
Assani, Idris; Petersen, Karl
1
1992
Some connections between ergodic theory and harmonic analysis. Zbl 0752.28006
Assani, Idris; Petersen, Karl; White, Homes
1
1991
The converse of the dominated ergodic theorem. Zbl 0411.28024
Petersen, Karl
1
1979
Tail fields generated by symbol counts in measure-preserving systems. Zbl 1057.37002
Petersen, Karl; Thouvenot, Jean-Paul
1
2004
Entropy on regular trees. Zbl 1442.37033
Petersen, Karl; Salama, Ibrahim
11
2020
Tree shift topological entropy. Zbl 1409.37022
Petersen, Karl; Salama, Ibrahim
15
2018
Dynamical intricacy and average sample complexity. Zbl 1397.37017
Petersen, Karl; Wilson, Benjamin
2
2018
Constructive symbolic presentations of rank one measure-preserving systems. Zbl 1386.37001
Adams, Terrence; Ferenczi, Sébastien; Petersen, Karl
10
2017
Dynamical properties of some adic systems with arbitrary orderings. Zbl 1380.37026
Frick, Sarah; Petersen, Karl; Shields, Sandi
5
2017
Markov diagrams for some non-Markovian systems. Zbl 1364.37025
Carroll, Kathleen; Petersen, Karl
2
2016
An adic dynamical system related to the Delannoy numbers. Zbl 1257.37006
Petersen, Karl
1
2012
Hidden Markov processes in the context of symbolic dynamics. Zbl 1298.60005
Boyle, Mike; Petersen, Karl
14
2011
Entropy of hidden Markov processes and connections to dynamical systems. Papers from the Banff International Research Station workshop, Banff, Canada, October 2007. Zbl 1218.93006
7
2011
The Euler adic dynamical system and path counts in the Euler graph. Zbl 1213.37008
Petersen, Karl; Varchenko, Alexander
7
2010
Reinforced random walks and adic transformations. Zbl 1217.37004
Frick, Sarah Bailey; Petersen, Karl
6
2010
Random permutations and unique fully supported ergodicity for the Euler adic transformation. Zbl 1175.37005
Frick, Sarah Bailey; Petersen, Karl
10
2008
Ergodicity of the adic transformation on the Euler graph. Zbl 1112.28012
Bailey, Sarah; Keane, Michael; Petersen, Karl; Salama, Ibrahim A.
10
2006
Easy and nearly simultaneous proofs of the ergodic theorem and maximal ergodic theorem. Zbl 1121.37301
Keane, Michael; Petersen, Karl
3
2006
Dynamical properties of the Pascal adic transformation. Zbl 1069.37007
Méla, Xavier; Petersen, Karl
24
2005
On the definition of relative pressure for factor maps on shifts of finite type. Zbl 1074.37011
Petersen, Karl; Shin, Sujin
8
2005
Tail fields generated by symbol counts in measure-preserving systems. Zbl 1057.37002
Petersen, Karl; Thouvenot, Jean-Paul
1
2004
Measures of maximal relative entropy. Zbl 1036.37002
Petersen, Karl; Quas, Anthony; Shin, Sujin
13
2003
Information compression and retention in dynamical processes. Zbl 1030.37008
Petersen, Karl
5
2002
Factor maps between tiling dynamical systems. Zbl 0930.54031
Petersen, Karl
6
1999
Binomial-coefficient multiples of irrationals. Zbl 0956.28014
Adams, Terrence M.; Petersen, Karl E.
5
1998
Symmetric Gibbs measures. Zbl 0873.28008
Petersen, Karl; Schmidt, Klaus
30
1997
Ergodic theory and its connections with harmonic analysis. Proceedings of the 1993 Alexandria conference, Alexandria, Egypt, May 24-28, 1993. Zbl 0824.00030
1
1995
Random ergodic theorems with universally representative sequences. Zbl 0813.28004
Lacey, Michael; Petersen, Karl; Wierdl, Mate; Rudolph, Dan
8
1994
The helical transform as a connection between ergodic theory and harmonic analysis. Zbl 0768.47001
Assani, Idris; Petersen, Karl
1
1992
Some connections between ergodic theory and harmonic analysis. Zbl 0752.28006
Assani, Idris; Petersen, Karl; White, Homes
1
1991
Bounded exponential sums. Zbl 0701.11026
Lesigne, Emmanuel; Petersen, Karl
1
1990
Ergodic theory. 1st paperback ed. Zbl 0676.28008
Petersen, Karl
70
1989
The spectral measure and Hilbert transform of a measure-preserving transformation. Zbl 0675.28010
Campbell, James; Petersen, Karl
6
1989
The ergodic theorem with time compression. Zbl 0662.28011
Petersen, Karl
1
1988
Chains, entropy, coding. Zbl 0587.28018
Petersen, Karl
28
1986
Random power series generated by ergodic transformations. Zbl 0612.30004
Halchin, Judy; Petersen, Karl
1
1986
Transmission rates and factors of Markov chains. Zbl 0549.28022
Marcus, Brian; Petersen, Karl; Williams, Susan
9
1984
Ergodic theory. Zbl 0507.28010
Petersen, Karl
222
1983
Another proof of the existence of the ergodic Hilbert transform. Zbl 0521.28014
Petersen, Karl
5
1983
The speed of convergence in the ergodic theorem. Zbl 0446.28015
Kakutani, Shizuo; Petersen, Karl
15
1981
Balancing ergodic averages. Zbl 0429.28018
Marcus, Brian; Petersen, Karl
4
1979
The converse of the dominated ergodic theorem. Zbl 0411.28024
Petersen, Karl
1
1979
Brownian motion, Hardy spaces and bounded mean oscillation. Zbl 0363.60004
Petersen, K. E.
12
1977
Some analytic functions whose boundary values have bounded mean oscillation. Zbl 0313.30032
Cima, Joseph A.; Petersen, Karl E.
12
1976
The spectrum and commutant of a certain weighted translation operator. Zbl 0316.47006
Petersen, Karl
4
1976
On a series of cosecants related to a problem in ergodic theory. Zbl 0269.10030
Petersen, Karl
26
1973
Induced flows. Zbl 0229.54036
Petersen, Karl; Shapiro, Leonard
19
1973
Spectra of induced transformations. Zbl 0255.28013
Petersen, Karl
2
1973
Extension of minimal transformation groups. Zbl 0225.54041
Petersen, Karl E.
1
1971
Disjointness and weak mixing of minimal sets. Zbl 0188.55503
Petersen, K. E.
31
1970
A topologically strongly mixing symbolic minimal set. Zbl 0194.55001
Petersen, K. E.
13
1970
all top 5

Cited by 730 Authors

21 Petersen, Karl E.
13 Ban, Jungchao
11 Chang, Chih-Hung
8 Mezić, Igor
7 Yayama, Yuki
6 Girela, Daniel
6 Meyerovitch, Tom
6 Minabutdinov, A. R.
6 Pavlov, Ronnie
6 Rosenblatt, Joseph Max
6 Werndl, Charlotte
6 Wu, Yuliang
5 Baggett, Lawrence Wasson
5 Bezuglyi, Sergey I.
5 Frick, Sarah Bailey
5 Hellekalek, Peter
5 Hu, Wen-Guei
5 Huang, Wen
5 Mcgoff, Kevin
5 Watson, Bruce Alastair
5 Ye, Xiangdong
5 Yoo, Jisang
4 Allahbakhshi, Mahsa
4 Avila, Artur
4 Chandgotia, Nishant
4 de Oliveira, César R.
4 Dikranjan, Dikran N.
4 Durand, Fabien
4 Eisner, Tanja
4 Frantzikinakis, Nikos
4 Homann, Jonathan
4 Kamae, Teturo
4 Merrill, Kathy D.
4 Nobel, Andrew B.
4 Pivato, Marcus
4 Shi, Yuming
4 Thompson, Daniel J.
4 Vershik, Anatoliĭ Moiseevich
4 Wierdl, Máté
3 Antonioli, John
3 Assani, Idris
3 Baake, Michael
3 Baccelli, François Louis
3 Bergelson, Vitaly
3 Berthé, Valérie
3 Bowen, Lewis Phylip
3 Buzzi, Jérôme
3 Cadre, Benoît
3 Campbell, James T.
3 Duvenhage, Rocco
3 Fan, Ai Hua
3 Feng, De-Jun
3 Frigg, Roman
3 Gabriyelyan, Saak S.
3 Galanopoulos, Petros
3 Gao, Su
3 Glasner, Eli
3 Gonçalves, Daniel
3 Hill, Jonathan B.
3 Högele, Michael Anton
3 Huang, Nai-Zhu
3 Jordá, Enrique
3 Knill, Oliver
3 Kolyada, Sergiǐ Fedorovych
3 Kraaikamp, Cor
3 Kwiatkowski, Jan
3 Kwietniak, Dominik
3 Lai, Guanyu
3 Larchner, Gerhard
3 Li, Jie
3 Lodkin, A. A.
3 Manaev, I. E.
3 Nevo, Amos
3 Oprocha, Piotr
3 Packer, Judith A.
3 Priebe Frank, Natalie
3 Quas, Anthony
3 Rédei, Miklós
3 Ruffino, Paulo Régis C.
3 Sadun, Lorenzo A.
3 Salama, Ibrahim A.
3 Schmidt, Klaus
3 Shapiro, Leonard D.
3 Tuncel, Selim
3 Zhang, Guohua
3 Ziegler, Tamar
2 Abraham, Christophe
2 Adams, Terrence M.
2 Adams, Terry
2 Ahn, Youngho
2 Arbabi, Hassan
2 Barbieri, Sebastián
2 Beltrán-Meneu, María J.
2 Ben Amor, Mohamed Amine
2 Berend, Daniel
2 Biau, Gérard
2 Biskup, Marek
2 Blanchard, François
2 Blume, Frank
2 Bochi, Jairo
...and 630 more Authors
all top 5

Cited in 183 Serials

39 Transactions of the American Mathematical Society
37 Ergodic Theory and Dynamical Systems
31 Israel Journal of Mathematics
24 Journal of Mathematical Analysis and Applications
18 Proceedings of the American Mathematical Society
15 Journal of Functional Analysis
14 The Annals of Probability
13 Topology and its Applications
11 Journal d’Analyse Mathématique
11 Discrete and Continuous Dynamical Systems
9 Advances in Mathematics
8 Journal of Statistical Physics
8 Theoretical Computer Science
7 Communications in Mathematical Physics
7 Chaos, Solitons and Fractals
7 Annales de l’Institut Fourier
7 Physica D
7 Probability Theory and Related Fields
7 Journal of Mathematical Sciences (New York)
6 Mathematische Zeitschrift
6 Synthese
5 Studia Mathematica
5 Applied Mathematics and Computation
5 Duke Mathematical Journal
5 Journal of Differential Equations
5 Journal of Number Theory
5 Monatshefte für Mathematik
5 Journal of Theoretical Probability
5 Geometric and Functional Analysis. GAFA
5 Stochastic Processes and their Applications
5 Stochastics and Dynamics
5 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
4 Compositio Mathematica
4 Indagationes Mathematicae. New Series
4 SIAM Journal on Applied Dynamical Systems
4 Journal of Modern Dynamics
4 Proceedings of the American Mathematical Society. Series B
3 Rocky Mountain Journal of Mathematics
3 Illinois Journal of Mathematics
3 Inventiones Mathematicae
3 Journal of Economic Theory
3 Journal of Soviet Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Semigroup Forum
3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
3 Acta Applicandae Mathematicae
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Journal of Nonlinear Science
3 The Journal of Fourier Analysis and Applications
3 Abstract and Applied Analysis
3 Journal of the European Mathematical Society (JEMS)
2 Advances in Applied Probability
2 International Journal of Theoretical Physics
2 Journal of Mathematical Physics
2 Mathematical Notes
2 Nonlinearity
2 Physics Letters. A
2 Reports on Mathematical Physics
2 Arkiv för Matematik
2 Bulletin de la Société Mathématique de France
2 Colloquium Mathematicum
2 Publications Mathématiques
2 Journal of Multivariate Analysis
2 Mathematical Systems Theory
2 Acta Mathematica Hungarica
2 Journal of the American Mathematical Society
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Expositiones Mathematicae
2 Journal of Dynamics and Differential Equations
2 Journal de Théorie des Nombres de Bordeaux
2 Journal of Difference Equations and Applications
2 Electronic Journal of Probability
2 Mathematical Physics, Analysis and Geometry
2 Journal of Dynamical and Control Systems
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Complex Analysis and Operator Theory
1 Analysis Mathematica
1 Archive for History of Exact Sciences
1 Journal of Fluid Mechanics
1 Journal of Mathematical Biology
1 Letters in Mathematical Physics
1 Lithuanian Mathematical Journal
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Russian Mathematical Surveys
1 Acta Scientiarum Mathematicarum
1 The Annals of Statistics
1 Bulletin of the London Mathematical Society
1 Czechoslovak Mathematical Journal
1 Dissertationes Mathematicae
1 Functional Analysis and its Applications
1 Fuzzy Sets and Systems
1 Geometriae Dedicata
1 Indiana University Mathematics Journal
1 Information Sciences
1 Integral Equations and Operator Theory
1 Journal of Algebra
1 Journal of Applied Probability
1 Journal of Approximation Theory
1 Journal of Combinatorial Theory. Series A
1 Journal of Computer and System Sciences
...and 83 more Serials
all top 5

Cited in 46 Fields

353 Dynamical systems and ergodic theory (37-XX)
130 Measure and integration (28-XX)
107 Probability theory and stochastic processes (60-XX)
63 Operator theory (47-XX)
56 Number theory (11-XX)
53 General topology (54-XX)
37 Functional analysis (46-XX)
28 Statistical mechanics, structure of matter (82-XX)
25 Combinatorics (05-XX)
25 Computer science (68-XX)
20 Topological groups, Lie groups (22-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
19 Mathematical logic and foundations (03-XX)
17 Functions of a complex variable (30-XX)
16 Statistics (62-XX)
14 Group theory and generalizations (20-XX)
14 Abstract harmonic analysis (43-XX)
13 Partial differential equations (35-XX)
11 Convex and discrete geometry (52-XX)
9 Quantum theory (81-XX)
8 Ordinary differential equations (34-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Information and communication theory, circuits (94-XX)
7 Numerical analysis (65-XX)
6 General and overarching topics; collections (00-XX)
6 Real functions (26-XX)
6 Sequences, series, summability (40-XX)
6 Fluid mechanics (76-XX)
6 Biology and other natural sciences (92-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Differential geometry (53-XX)
5 Systems theory; control (93-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Difference and functional equations (39-XX)
4 Manifolds and cell complexes (57-XX)
4 Mechanics of particles and systems (70-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 History and biography (01-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Algebraic topology (55-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Operations research, mathematical programming (90-XX)
1 General algebraic systems (08-XX)
1 Associative rings and algebras (16-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)

Citations by Year