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Berger, Arno

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Author ID: berger.arno Recent zbMATH articles by "Berger, Arno"
Published as: Berger, A.; Berger, Arno
Documents Indexed: 56 Publications since 1966, including 2 Books
all top 5

Serials

3 Wissenschaftliche Zeitschrift der Technischen Hochschule Ilmenau
3 Journal of Theoretical Probability
3 Journal of Dynamics and Differential Equations
2 American Mathematical Monthly
2 Journal of Differential Equations
2 Wissenschaftliche Zeitschrift der Martin-Luther-Universität Halle-Wittenberg. Mathematisch-Naturwissenschaftliche Reihe
2 Journal of Difference Equations and Applications
2 Discrete and Continuous Dynamical Systems
2 Stochastics and Dynamics
1 Wave Motion
1 The Mathematical Intelligencer
1 IEEE Transactions on Automatic Control
1 Journal of Applied Probability
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Transactions of the American Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 SIAM Journal on Matrix Analysis and Applications
1 Notices of the American Mathematical Society
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 The ANZIAM Journal
1 Discrete and Continuous Dynamical Systems. Series B
1 Communications on Pure and Applied Analysis
1 Carpathian Journal of Mathematics
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Discrete and Continuous Dynamical Systems. Series S
1 Probability Surveys
1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA
1 De Gruyter Textbook

Publications by Year

Citations contained in zbMATH

35 Publications have been cited 170 times in 104 Documents Cited by Year
An introduction to Benford’s law. Zbl 1412.60002
Berger, Arno; Hill, Theodore P.
18
2015
A definition of spectrum for differential equations on finite time. Zbl 1169.34040
Berger, A.; Doan, T. S.; Siegmund, S.
18
2009
Nonautonomous finite-time dynamics. Zbl 1148.37010
Berger, Arno; Son, Doan Thai; Siegmund, Stefan
12
2008
One-dimensional dynamical systems and Benford’s law. Zbl 1123.37006
Berger, Arno; Bunimovich, Leonid A.; Hill, Theodore P.
12
2005
A basic theory of Benford’s law. Zbl 1245.60016
Berger, Arno; Hill, Theodore P.
11
2011
On the gap between random dynamical systems and continuous skew products. Zbl 1038.37040
Berger, Arno; Siegmund, Stefan
11
2003
On finite-time hyperbolicity. Zbl 1239.34048
Berger, Arno
9
2011
Chaos and chance. An introduction to stochastic aspects of dynamics. Zbl 0984.37001
Berger, Arno
9
2001
A remark on finite-time hyperbolicity. Zbl 1393.34055
Berger, A.; Doan, T. S.; Siegmund, S.
7
2008
Multidimensional dynamical systems and Benford’s law. Zbl 1075.37003
Berger, Arno
7
2005
On almost automorphic dynamics in symbolic lattices. Zbl 1058.37007
Berger, Arno; Siegmund, Stefan; Yi, Yingfei
7
2004
A criterion for non-persistence of travelling breathers for perturbations of the Ablowitz-Ladik lattice. Zbl 1062.37095
Berger, A.; MacKay, R. S.; Rothos, V. M.
5
2004
Benford’s law strikes back: no simple explanation in sight for mathematical gem. Zbl 1221.60010
Berger, Arno; Hill, Theodore P.
4
2011
On the distribution of mantissae in nonautonomous difference equations. Zbl 1130.37005
Berger, A.; Siegmund, S.
4
2007
An improved maximum allowable transfer interval for \(L^p\)-stability of networked control systems. Zbl 1368.93642
Jentzen, Arnulf; Leber, Frank; Schneisgen, Daniela; Berger, Arno; Siegmund, Stefan
3
2010
Uniformly attracting solutions of nonautonomous differential equations. Zbl 1156.34042
Berger, A.; Siegmund, S.
3
2008
Scale-distortion inequalities for mantissas of finite data sets. Zbl 1162.68306
Berger, Arno; Hill, Theodore P.; Morrison, Kent E.
3
2008
Benford’s law in power-like dynamical systems. Zbl 1122.37008
Berger, Arno
3
2005
Best finite constrained approximations of one-dimensional probabilities. Zbl 1426.41037
Xu, Chuang; Berger, Arno
2
2019
What is\(\ldots\) Benford’s law? Zbl 1359.60020
Berger, Arno; Hill, Theodore P.
2
2017
Finite-state Markov chains obey Benford’s law. Zbl 1241.11078
Berger, Arno; Hill, Theodore P.; Kaynar, Bahar; Ridder, Ad
2
2011
Some dynamical properties of Benford sequences. Zbl 1218.11072
Berger, Arno
2
2011
More on finite-time hyperbolicity. Zbl 1242.34101
Berger, Arno
2
2010
Newton-method obeys Benford’s law. Zbl 1136.65048
Berger, Arno; Hill, Theodore P.
2
2007
Propagation of small waves in inextensible strings. Zbl 1163.74436
Schagerl, Martin; Berger, Arno
2
2002
Best finite approximations of Benford’s law. Zbl 07081646
Berger, Arno; Xu, Chuang
1
2019
On the significands of uniform random variables. Zbl 1396.60026
Berger, Arno; Twelves, Isaac
1
2018
A characterization of Benford’s law in discrete-time linear systems. Zbl 1362.37019
Berger, Arno; Eshun, Gideon
1
2016
Benford solutions of linear difference equations. Zbl 1318.39001
Berger, Arno; Eshun, Gideon
1
2014
Counting uniformly attracting solutions of nonautonomous differential equations. Zbl 1163.34035
Berger, Arno
1
2008
Identification of 1D and 2D Preisach models for ferromagnets and shape memory alloys. Zbl 1211.82065
Ktena, A.; Fotiadis, D. I.; Spanos, P. D.; Berger, A.; Massalas, C. V.
1
2002
On the appropriate treatment of singularly perturbed wave equations. Zbl 1038.70017
Schagerl, M.; Berger, A.
1
2001
Untersuchungen über halbstetige Punkt-Menge-Abbildungen. Zbl 0363.54005
Berger, A.; Elster, K.-H.
1
1976
Zum Begriff der halbstetigen Punkt-Menge-Abbildungen in topologischen Strukturen. Zbl 0306.54023
Berger, Arno; Elster, Karl-Heinz
1
1975
Die Prüfung rechnerisch erzeugbarer Pseudozufallszahlenfolgen. Zbl 0205.46702
Berger, Arno
1
1970
Best finite constrained approximations of one-dimensional probabilities. Zbl 1426.41037
Xu, Chuang; Berger, Arno
2
2019
Best finite approximations of Benford’s law. Zbl 07081646
Berger, Arno; Xu, Chuang
1
2019
On the significands of uniform random variables. Zbl 1396.60026
Berger, Arno; Twelves, Isaac
1
2018
What is\(\ldots\) Benford’s law? Zbl 1359.60020
Berger, Arno; Hill, Theodore P.
2
2017
A characterization of Benford’s law in discrete-time linear systems. Zbl 1362.37019
Berger, Arno; Eshun, Gideon
1
2016
An introduction to Benford’s law. Zbl 1412.60002
Berger, Arno; Hill, Theodore P.
18
2015
Benford solutions of linear difference equations. Zbl 1318.39001
Berger, Arno; Eshun, Gideon
1
2014
A basic theory of Benford’s law. Zbl 1245.60016
Berger, Arno; Hill, Theodore P.
11
2011
On finite-time hyperbolicity. Zbl 1239.34048
Berger, Arno
9
2011
Benford’s law strikes back: no simple explanation in sight for mathematical gem. Zbl 1221.60010
Berger, Arno; Hill, Theodore P.
4
2011
Finite-state Markov chains obey Benford’s law. Zbl 1241.11078
Berger, Arno; Hill, Theodore P.; Kaynar, Bahar; Ridder, Ad
2
2011
Some dynamical properties of Benford sequences. Zbl 1218.11072
Berger, Arno
2
2011
An improved maximum allowable transfer interval for \(L^p\)-stability of networked control systems. Zbl 1368.93642
Jentzen, Arnulf; Leber, Frank; Schneisgen, Daniela; Berger, Arno; Siegmund, Stefan
3
2010
More on finite-time hyperbolicity. Zbl 1242.34101
Berger, Arno
2
2010
A definition of spectrum for differential equations on finite time. Zbl 1169.34040
Berger, A.; Doan, T. S.; Siegmund, S.
18
2009
Nonautonomous finite-time dynamics. Zbl 1148.37010
Berger, Arno; Son, Doan Thai; Siegmund, Stefan
12
2008
A remark on finite-time hyperbolicity. Zbl 1393.34055
Berger, A.; Doan, T. S.; Siegmund, S.
7
2008
Uniformly attracting solutions of nonautonomous differential equations. Zbl 1156.34042
Berger, A.; Siegmund, S.
3
2008
Scale-distortion inequalities for mantissas of finite data sets. Zbl 1162.68306
Berger, Arno; Hill, Theodore P.; Morrison, Kent E.
3
2008
Counting uniformly attracting solutions of nonautonomous differential equations. Zbl 1163.34035
Berger, Arno
1
2008
On the distribution of mantissae in nonautonomous difference equations. Zbl 1130.37005
Berger, A.; Siegmund, S.
4
2007
Newton-method obeys Benford’s law. Zbl 1136.65048
Berger, Arno; Hill, Theodore P.
2
2007
One-dimensional dynamical systems and Benford’s law. Zbl 1123.37006
Berger, Arno; Bunimovich, Leonid A.; Hill, Theodore P.
12
2005
Multidimensional dynamical systems and Benford’s law. Zbl 1075.37003
Berger, Arno
7
2005
Benford’s law in power-like dynamical systems. Zbl 1122.37008
Berger, Arno
3
2005
On almost automorphic dynamics in symbolic lattices. Zbl 1058.37007
Berger, Arno; Siegmund, Stefan; Yi, Yingfei
7
2004
A criterion for non-persistence of travelling breathers for perturbations of the Ablowitz-Ladik lattice. Zbl 1062.37095
Berger, A.; MacKay, R. S.; Rothos, V. M.
5
2004
On the gap between random dynamical systems and continuous skew products. Zbl 1038.37040
Berger, Arno; Siegmund, Stefan
11
2003
Propagation of small waves in inextensible strings. Zbl 1163.74436
Schagerl, Martin; Berger, Arno
2
2002
Identification of 1D and 2D Preisach models for ferromagnets and shape memory alloys. Zbl 1211.82065
Ktena, A.; Fotiadis, D. I.; Spanos, P. D.; Berger, A.; Massalas, C. V.
1
2002
Chaos and chance. An introduction to stochastic aspects of dynamics. Zbl 0984.37001
Berger, Arno
9
2001
On the appropriate treatment of singularly perturbed wave equations. Zbl 1038.70017
Schagerl, M.; Berger, A.
1
2001
Untersuchungen über halbstetige Punkt-Menge-Abbildungen. Zbl 0363.54005
Berger, A.; Elster, K.-H.
1
1976
Zum Begriff der halbstetigen Punkt-Menge-Abbildungen in topologischen Strukturen. Zbl 0306.54023
Berger, Arno; Elster, Karl-Heinz
1
1975
Die Prüfung rechnerisch erzeugbarer Pseudozufallszahlenfolgen. Zbl 0205.46702
Berger, Arno
1
1970
all top 5

Cited by 149 Authors

16 Berger, Arno
13 Siegmund, Stefan
4 Doan, Thai Son
3 Balasuriya, Sanjeeva
3 Duc, Luu Hoang
3 Giesl, Peter
3 Hill, Theodore Preston
3 Hüls, Thorsten
3 James, Guillaume
3 Miller, Steven J.
3 Rasmussen, Martin
3 Schneider, Dominique
3 Sire, Yannick
3 Xu, Chuang
2 Chen, Wuhua
2 Chenavier, Nicolas
2 Ghil, Michael
2 Hildebrand, Adolf J.
2 Massé, Bruno
2 N’Guérékata, Gaston Mandata
2 Nguyen Van Minh
2 Novo, Sylvia
2 Obaya, Rafael
2 Rogovchenko, Svitlana P.
2 Wojcik, Michal Ryszard
2 Xia, Yonghui
1 Ahmadi, Ali R.
1 Awrejcewicz, Jan
1 Babaie-Zadeh, Massoud
1 Bai, Yuzhen
1 Balanzario, Eugenio P.
1 Balibrea, Francisco
1 Barabesi, Lucio
1 Batitsky, Vadim
1 Behrad, Alireza
1 Behrisch, Mike
1 Berend, Daniel
1 Borisovich, Yuriĭ Grigor’evich
1 Cai, Zhaodong
1 Cao, Yongluo
1 Champneys, Alan R.
1 Chekroun, Mickaël D.
1 Chen, Evan
1 Chen, Jialin
1 Chu, Jifeng
1 Cuevas, Claudio
1 de la Rue, Thierry
1 Ditto, William L.
1 Domotor, Zoltan
1 Durst, Rebecca F.
1 Dzyubak, Larisa
1 Eliazar, Iddo I.
1 Ermakov, Sergeĭ Mikhaĭlovich
1 Eshun, Gideon
1 Evans, Steven Neil
1 Fernández-Sánchez, Juan
1 Gel’man, Boris Danielovich
1 Girod, Alina
1 Granovsky, Boris L.
1 Hafstein, Sigurður Freyr
1 Haller, George
1 Hasanbulli, Mustafa
1 Haskell, Cymra
1 He, Xinwei
1 Hoppe, Fred M.
1 Huang, Wen
1 Iooss, Gérard
1 Ivanov, Alexey V.
1 Jahed-Motlagh, Mohammad Reza
1 Jameson, Marie
1 Janvresse, Elise
1 Karrasch, Daniel
1 Ke, Tran Dinh
1 Kerkhoff, Sebastian
1 Khosravani, Azar N.
1 Kia, Behnam
1 Kim, Jongrae
1 Kloeden, Peter Eris
1 Kolesnik, Grigoriĭ Abramovich
1 Kuhlmann, Hendrik C.
1 Kühn, Christian
1 Langa, Jose’ Antonio
1 Li, Junxian
1 Li, Yuchen
1 Liao, Fangfang
1 Liu, Guoping
1 Lizama, Carlos
1 Longo, Iacopo P.
1 Lu, Xiaomei
1 Manack, Corey
1 McMichen, James
1 Melvin, Thomas R. O.
1 Miller, Alica
1 Mori, Yoshiyuki
1 Murtagh, Fionn D.
1 Myshkis, Anatoliĭ Dmitrievich
1 Naito, Toshiki
1 Nguyen, T. Y. N.
1 Nigrini, Mark J.
1 Nolasco de Carvalho, Alexandre
...and 49 more Authors
all top 5

Cited in 65 Serials

8 Journal of Dynamics and Differential Equations
7 Journal of Differential Equations
6 Journal of Difference Equations and Applications
4 Physica D
3 Proceedings of the American Mathematical Society
3 Statistics & Probability Letters
3 Journal of Theoretical Probability
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Discrete and Continuous Dynamical Systems. Series B
3 International Journal of Number Theory
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Applied Probability
2 Journal of Soviet Mathematics
2 Stochastic Processes and their Applications
2 Abstract and Applied Analysis
2 Stochastics and Dynamics
1 Communications in Mathematical Physics
1 International Journal of Mathematical Education in Science and Technology
1 International Journal of Systems Science
1 Israel Journal of Mathematics
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Periodica Mathematica Hungarica
1 Physics Letters. A
1 Wave Motion
1 The Mathematical Intelligencer
1 Acta Arithmetica
1 Automatica
1 Journal of Approximation Theory
1 Journal of Functional Analysis
1 Journal of Number Theory
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Results in Mathematics
1 Synthese
1 Ergodic Theory and Dynamical Systems
1 Mathematical Social Sciences
1 Annals of Physics
1 Communications in Statistics. Theory and Methods
1 Journal of Mathematical Imaging and Vision
1 Journal of Nonlinear Science
1 Set-Valued Analysis
1 Applied Categorical Structures
1 Physics of Fluids
1 Bulletin des Sciences Mathématiques
1 Discrete and Continuous Dynamical Systems
1 Mathematical Problems in Engineering
1 Differential Equations and Dynamical Systems
1 Nonlinear Dynamics
1 Discrete Mathematics and Theoretical Computer Science. DMTCS
1 Chaos
1 Regular and Chaotic Dynamics
1 The ANZIAM Journal
1 Nonlinear Analysis. Real World Applications
1 Journal of Applied Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Advances in Difference Equations
1 Involve
1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
1 Probability Surveys
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Journal of Computational Dynamics
1 Mathematica Applicanda
1 Research in Number Theory
1 Applied Mathematics and Nonlinear Sciences
1 Bollettino dell’Unione Matematica Italiana

Citations by Year