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## Grillenberger, Christian

Compute Distance To:
 Author ID: grillenberger.christian Published as: Grillenberger, C.; Grillenberger, Chr.; Grillenberger, Christian External Links: Wikidata · GND
 Documents Indexed: 12 Publications since 1973, including 1 Book
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#### Co-Authors

 4 single-authored 4 Krengel, Ulrich 2 Denker, Manfred 1 Keller, Gerhard 1 Shields, Paul C. 1 Sigmund, Karl 1 Ziezold, Herbert
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#### Serials

 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Mathematische Zeitschrift 1 Metrika 1 Journal of Applied Probability 1 Journal of Multivariate Analysis 1 Monatshefte für Mathematik 1 Lecture Notes in Mathematics
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#### Fields

 9 Measure and integration (28-XX) 6 Probability theory and stochastic processes (60-XX) 4 General topology (54-XX) 2 Operator theory (47-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX)

#### Citations contained in zbMATH Open

9 Publications have been cited 420 times in 408 Documents Cited by Year
Ergodic theory on compact spaces. Zbl 0328.28008
Denker, Manfred; Grillenberger, Christian; Sigmund, Karl
1976
Constructions of strictly ergodic systems. I: Given entropy. Zbl 0253.28004
Grillenberger, Christian
1973
A note on invariance principles for v. Mises’ statistics. Zbl 0609.62029
Denker, M.; Grillenberger, C.; Keller, G.
1985
On marginal distributions and isomorphisms of stationary processes. Zbl 0313.60029
Grillenberger, Christian; Krengel, Ulrich
1976
On the critical infection rate of the one-dimensional basic contact process: Numerical results. Zbl 0643.60095
Ziezold, Herbert; Grillenberger, Christian
1988
Constructions of strictly ergodic systems. II: K-systems. Zbl 0253.28005
Grillenberger, Christian
1973
On the spatial constant of superadditive set functions in $$R^ n$$. Zbl 0512.52012
Grillenberger, Christian; Krengel, Ulrich
1982
On generators for ergodic flows. Zbl 0421.58013
Grillenberger, Christian
1980
Minimal ensembles without maximal entropy measures. Zbl 0358.28007
Grillenberger, Christian
1976
On the critical infection rate of the one-dimensional basic contact process: Numerical results. Zbl 0643.60095
Ziezold, Herbert; Grillenberger, Christian
1988
A note on invariance principles for v. Mises’ statistics. Zbl 0609.62029
Denker, M.; Grillenberger, C.; Keller, G.
1985
On the spatial constant of superadditive set functions in $$R^ n$$. Zbl 0512.52012
Grillenberger, Christian; Krengel, Ulrich
1982
On generators for ergodic flows. Zbl 0421.58013
Grillenberger, Christian
1980
Ergodic theory on compact spaces. Zbl 0328.28008
Denker, Manfred; Grillenberger, Christian; Sigmund, Karl
1976
On marginal distributions and isomorphisms of stationary processes. Zbl 0313.60029
Grillenberger, Christian; Krengel, Ulrich
1976
Minimal ensembles without maximal entropy measures. Zbl 0358.28007
Grillenberger, Christian
1976
Constructions of strictly ergodic systems. I: Given entropy. Zbl 0253.28004
Grillenberger, Christian
1973
Constructions of strictly ergodic systems. II: K-systems. Zbl 0253.28005
Grillenberger, Christian
1973
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#### Cited by 446 Authors

 21 Oprocha, Piotr 14 Denker, Manfred 11 Hofbauer, Franz 10 Boyle, Mike 9 Tian, Xueting 9 Ye, Xiangdong 8 Lind, Douglas A. 7 Alsedà, Lluís 7 Blanchard, François 6 Huang, Wen 6 Kwietniak, Dominik 6 Wolf, Christian 5 Blanchard, Frédéric 5 Buzzi, Jérôme 5 Fiebig, Doris 5 Maass, Alejandro 5 Sakai, Kazuhiro 5 Sumi, Naoya 5 Weiss, Benjamin 5 Yamamoto, Kenichiro 4 Baake, Michael 4 Dehling, Herold G. 4 Downarowicz, Tomasz 4 Glasner, Eli 4 Grillenberger, Christian 4 Keller, Gerhard 4 Kifer, Yuri 4 Krieger, Wolfgang 4 Petersen, Karl E. 4 Sablik, Mathieu 4 Sujan, Stefan 4 Urbański, Mariusz 4 van Enter, Aernout C. D. 3 Akin, Hasan 3 Baker, Kirby A. 3 Carvalho, Bernardo 3 Chen, Ercai 3 del Río, M. A. 3 Fiebig, Ulf-Rainer 3 Gutowitz, Howard A. 3 Hochman, Michael 3 Hurley, Mike 3 Kościelniak, Piotr 3 Lenz, Daniel H. 3 Li, Jinjun 3 Margara, Luciano 3 Martinez Aguilera, Servet 3 Mauduit, Christian 3 Mcgoff, Kevin 3 Misiurewicz, Michał 3 Moreira, Carlos Gustavo Tamm de Araujo 3 Olsen, L. P. 3 Pavlov, Ronnie 3 Peris, Alfredo 3 Raines, Brian E. 3 Rodríguez, José Angel 3 Ruette, Sylvie 3 Sun, Wenxiang 2 Alpern, Steve 2 Aoki, Nobuo 2 Artigue, Alfonso 2 Barge, Marcy M. 2 Bartoll, Salud 2 Blokh, Alexander M. 2 Borisov, Igor S. 2 Boyarsky, Abraham 2 Cánovas, Jose S. 2 Cattaneo, Gianpiero 2 Dennunzio, Alberto 2 Desai, Angela 2 Dong, Yiwei 2 Ferenczi, Sébastien 2 Finelli, Michele 2 García Guirao, Juan Luis 2 Gelfert, Katrin Grit 2 Gordin, Mikhail Iosifovich 2 Hill, Richard Michael 2 Huang, Yu 2 Huck, Christian 2 Juher, David 2 Jung, Uijin 2 Katok, Anatole B. 2 Keane, Michael S. 2 Kerr, David 2 Kesseböhmer, Marc 2 Knill, Oliver 2 Kupka, Jiří 2 Kwiatkowski, Jan 2 Lampart, Marek 2 Li, Jian 2 Li, Jie 2 Liggett, Thomas Milton 2 Ma, Dongkui 2 Ma, Jihua 2 Ma, Xianfeng 2 Martínez-Giménez, Félix 2 Meddaugh, Jonathan 2 Meyerovitch, Tom 2 Morita, Takehiko 2 Moriyasu, Kazumine ...and 346 more Authors
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#### Cited in 114 Serials

 42 Ergodic Theory and Dynamical Systems 29 Transactions of the American Mathematical Society 25 Israel Journal of Mathematics 22 Monatshefte für Mathematik 17 Journal of Mathematical Analysis and Applications 17 Theoretical Computer Science 16 Proceedings of the American Mathematical Society 11 Journal of Statistical Physics 11 Discrete and Continuous Dynamical Systems 9 Inventiones Mathematicae 8 Communications in Mathematical Physics 8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 8 Topology and its Applications 8 Stochastics and Dynamics 7 Journal of Difference Equations and Applications 6 Advances in Mathematics 6 Journal of Differential Equations 6 Physica D 5 Mathematische Zeitschrift 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Chaos, Solitons and Fractals 4 The Annals of Probability 3 Journal d’Analyse Mathématique 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Reports on Mathematical Physics 3 Annales de l’Institut Fourier 3 Bulletin de la Société Mathématique de France 3 Journal of Functional Analysis 3 Probability Theory and Related Fields 3 Indagationes Mathematicae. New Series 3 Dynamical Systems 2 Nonlinearity 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Compositio Mathematica 2 Fuzzy Sets and Systems 2 Journal of Applied Probability 2 Journal of Multivariate Analysis 2 Kybernetika 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Advances in Applied Mathematics 2 Journal of the American Mathematical Society 2 Forum Mathematicum 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Dynamics and Differential Equations 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Probability 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Modern Dynamics 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Studia Mathematica 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Acta Mathematica 1 The Annals of Statistics 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 Hiroshima Mathematical Journal 1 Publications Mathématiques 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of Number Theory 1 Journal of Soviet Mathematics 1 Journal of Statistical Planning and Inference 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematical Systems Theory 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Siberian Mathematical Journal 1 Statistics & Probability Letters 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Journal of Complexity 1 Discrete & Computational Geometry 1 International Journal of Mathematics 1 Annals of Operations Research 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Foundations of Computer Science 1 The Journal of Geometric Analysis 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Acta Mathematica Sinica. New Series 1 Applied Mathematics. Series B (English Edition) 1 Journal de Théorie des Nombres de Bordeaux 1 Kyushu Journal of Mathematics 1 Fractals 1 Bulletin des Sciences Mathématiques 1 Theory of Computing Systems 1 Nonlinear Dynamics 1 Geometry & Topology 1 Chaos 1 Matematicheskie Trudy ...and 14 more Serials
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#### Cited in 40 Fields

 282 Dynamical systems and ergodic theory (37-XX) 125 Measure and integration (28-XX) 103 General topology (54-XX) 48 Probability theory and stochastic processes (60-XX) 31 Computer science (68-XX) 22 Number theory (11-XX) 17 Information and communication theory, circuits (94-XX) 12 Topological groups, Lie groups (22-XX) 12 Statistics (62-XX) 9 Functional analysis (46-XX) 9 Operator theory (47-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Manifolds and cell complexes (57-XX) 6 Group theory and generalizations (20-XX) 4 Mathematical logic and foundations (03-XX) 4 Combinatorics (05-XX) 4 Ordinary differential equations (34-XX) 4 Convex and discrete geometry (52-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 2 General algebraic systems (08-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX)

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