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Benedicks, Michael

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 Author ID: benedicks.michael Published as: Benedicks, M.; Benedicks, Michael External Links: MGP · Wikidata · GND
 Documents Indexed: 26 Publications since 1975, including 4 Books
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Co-Authors

 12 single-authored 3 Baladi, Viviane 3 Young, Lai-Sang 2 Carleson, Lennart 2 Maume-Deschamps, Véronique 2 Viana, Marcelo 1 Jones, Peter Wilcox 1 Misiurewicz, Michał 1 Pfeffer, Washek F. 1 Rodrigues, Ana 1 Schnellmann, Daniel 1 Smirnov, Stanislav Konstantinovich
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Serials

 3 Inventiones Mathematicae 2 Annals of Mathematics. Second Series 1 Journal of Mathematical Analysis and Applications 1 Reports on Mathematical Physics 1 Arkiv för Matematik 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Mathematical Bulletin 1 Fundamenta Mathematicae 1 Publications Mathématiques 1 Mathematica Scandinavica 1 Normat 1 Ergodic Theory and Dynamical Systems 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Philosophical Transactions of the Royal Society of London. Series A 1 Mathematical Physics Studies
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Fields

 16 Dynamical systems and ergodic theory (37-XX) 4 Potential theory (31-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 2 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX)

Citations contained in zbMATH Open

18 Publications have been cited 700 times in 505 Documents Cited by Year
The dynamics of the Hénon map. Zbl 0724.58042
Benedicks, Michael; Carleson, Lennart
1991
On iterations of $$1-\alpha x^2$$ on $$(-1,1)$$. Zbl 0597.58016
Benedicks, Michael; Carleson, Lennart
1985
Sinai-Bowen-Ruelle measures for certain Hénon maps. Zbl 0796.58025
Benedicks, Michael; Young, Lai-Sang
1993
On Fourier transforms of functions supported on sets of finite Lebesgue measure. Zbl 0576.42016
Benedicks, Michael
1985
Markov extensions and decay of correlations for certain Hénon maps. Zbl 1044.37013
Benedicks, Michael; Young, Lai-Sang
2000
Positive harmonic functions vanishing on the boundary of certain domains in $$R^ n$$. Zbl 0455.31009
Benedicks, Michael
1980
Solution of the basin problem for Hénon-like attractors. Zbl 0967.37023
Benedicks, Michael; Viana, Marcelo
2001
Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps. Zbl 0769.58051
Benedicks, Michael; Young, Lai-Sang
1992
Whitney-Hölder continuity of the SRB measure for transversal families of smooth unimodal maps. Zbl 1359.37049
Baladi, Viviane; Benedicks, Michael; Schnellmann, Daniel
2015
Random perturbations and statistical properties of Hénon-like maps. Zbl 1131.37033
Benedicks, Michael; Viana, Marcelo
2006
Almost sure rates of mixing for i.i.d. unimodal maps. Zbl 1037.37003
Baladi, Viviane; Benedicks, Michael; Maume-Deschamps, Véronique
2003
Absolutely continuous invariant measures for maps with flat tops. Zbl 0703.58030
Benedicks, Michael; Misiurewicz, Michał
1989
The support of functions and distributions with a spectral gap. Zbl 0577.42008
Benedicks, Michael
1984
New developments in the ergodic theory of nonlinear dynamical systems. Zbl 0798.58045
Benedicks, Michael
1994
Kneading sequences for double standard maps. Zbl 1247.37035
Benedicks, Michael; Rodrigues, Ana
2009
Positive harmonic functions vanishing on the boundary of certain domains in $$\mathbb{R}^n$$. Rev. ed. Zbl 0443.31003
Benedicks, Michael
1980
The support of functions and distributions with a spectral gap. Zbl 0442.42007
Benedicks, Michael
1980
Positive harmonic functions vanishing on the boundary of certain domains in $$\mathbb{R}^{n+1}$$. Zbl 0422.31003
Benedicks, Michael
1979
Whitney-Hölder continuity of the SRB measure for transversal families of smooth unimodal maps. Zbl 1359.37049
Baladi, Viviane; Benedicks, Michael; Schnellmann, Daniel
2015
Kneading sequences for double standard maps. Zbl 1247.37035
Benedicks, Michael; Rodrigues, Ana
2009
Random perturbations and statistical properties of Hénon-like maps. Zbl 1131.37033
Benedicks, Michael; Viana, Marcelo
2006
Almost sure rates of mixing for i.i.d. unimodal maps. Zbl 1037.37003
Baladi, Viviane; Benedicks, Michael; Maume-Deschamps, Véronique
2003
Solution of the basin problem for Hénon-like attractors. Zbl 0967.37023
Benedicks, Michael; Viana, Marcelo
2001
Markov extensions and decay of correlations for certain Hénon maps. Zbl 1044.37013
Benedicks, Michael; Young, Lai-Sang
2000
New developments in the ergodic theory of nonlinear dynamical systems. Zbl 0798.58045
Benedicks, Michael
1994
Sinai-Bowen-Ruelle measures for certain Hénon maps. Zbl 0796.58025
Benedicks, Michael; Young, Lai-Sang
1993
Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps. Zbl 0769.58051
Benedicks, Michael; Young, Lai-Sang
1992
The dynamics of the Hénon map. Zbl 0724.58042
Benedicks, Michael; Carleson, Lennart
1991
Absolutely continuous invariant measures for maps with flat tops. Zbl 0703.58030
Benedicks, Michael; Misiurewicz, Michał
1989
On iterations of $$1-\alpha x^2$$ on $$(-1,1)$$. Zbl 0597.58016
Benedicks, Michael; Carleson, Lennart
1985
On Fourier transforms of functions supported on sets of finite Lebesgue measure. Zbl 0576.42016
Benedicks, Michael
1985
The support of functions and distributions with a spectral gap. Zbl 0577.42008
Benedicks, Michael
1984
Positive harmonic functions vanishing on the boundary of certain domains in $$R^ n$$. Zbl 0455.31009
Benedicks, Michael
1980
Positive harmonic functions vanishing on the boundary of certain domains in $$\mathbb{R}^n$$. Rev. ed. Zbl 0443.31003
Benedicks, Michael
1980
The support of functions and distributions with a spectral gap. Zbl 0442.42007
Benedicks, Michael
1980
Positive harmonic functions vanishing on the boundary of certain domains in $$\mathbb{R}^{n+1}$$. Zbl 0422.31003
Benedicks, Michael
1979
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Cited by 576 Authors

 18 Young, Lai-Sang 14 Alves, José Ferreira 13 Luzzatto, Stefano 11 Mejjaoli, Hatem 11 Wang, Qiudong 10 Melbourne, Ian 9 Takahasi, Hiroki 8 Benedicks, Michael 8 Cao, Yongluo 8 Gonchenko, Sergey V. 7 Berger, Pierre 7 Freitas, Jorge Milhazes 7 Ghobber, Saifallah 7 Holland, Mark P. 7 Viana, Marcelo 6 Baladi, Viviane 6 Díaz, Lorenzo Justiniano 6 Lyubich, Mikhail Yur’evich 6 Oksasoglu, Ali 6 Rodríguez, José Angel 6 Shilnikov, Leonid Pavlovich 6 Todd, Mike 6 Tucker, Warwick 6 Turaev, Dmitry V. 5 Dobbs, Neil B. 5 Galatolo, Stefano 5 Galias, Zbigniew 5 Gottwald, Georg A. 5 Pumariño, Antonio 5 Sitaram, Alladi 5 Varandas, Paulo 4 Araújo, Vítor 4 Avila Cordeiro de Melo, Artur 4 Bjerklöv, Kristian 4 Blumenthal, Alex 4 Bruin, Henk 4 Castro, Armando 4 Fornæss, John Erik 4 Gonchenko, Alexander S. 4 Oertel-Jäger, Tobias Hendrik 4 Jaming, Philippe 4 Kazakov, Alexey O. 4 Lin, Wei 4 Palis, Jacob jun. 4 Pinheiro, Vilton 4 Sibony, Nessim 4 Vaienti, Sandro 3 Aspenberg, Magnus 3 Boggiatto, Paolo 3 Carypis, Evanthia 3 Chung, Yong Moo 3 de Carvalho, Maria Pires 3 Dobrynskiĭ, Vladimir A. 3 Gardiner, Stephen J. 3 Hu, Huyi 3 Ibáñez, Santiago 3 Jakobson, Michael 3 Kiriki, Shin 3 Liang, Jinhao 3 Martens, Marco 3 Maume-Deschamps, Véronique 3 Menasri, Abdellah 3 Mora, Leonardo 3 Nicol, Matthew 3 Olevskii, Alexander Moiseevich 3 Oliaro, Alessandro 3 Pacifico, Maria José 3 Persson, Tomas 3 Pesin, Yakov Borisovich 3 Pilarczyk, Paweł 3 Poltoratski, Alexei G. 3 Rivera-Letelier, Juan 3 Ruziboev, Marks 3 Rychlik, Marek Ryszard 3 Schnellmann, Daniel 3 Shen, Weixiao 3 Tanikawa, Kiyotaka 3 Tien Cuong Dinh 3 Trimèche, Khalifa 3 Ures, Raúl 3 van Strien, Sebastian J. 3 Vigil, Enrique 3 Wang, Yiqian 3 Yamaguchi, Yoshihiro 3 Zhang, Xu 3 Zweimüller, Roland 2 Achak, Azzedine 2 Ancona, Alano 2 Andersson, John Erik 2 Bálint, Péter 2 Bomfim, Thiago 2 Bonatti, Christian 2 Carrasco, Pablo D. 2 Chen, Guanrong 2 Climenhaga, Vaughn 2 Coronel, Daniel 2 Crovisier, Sylvain 2 Daher, Radouan 2 Dolgopyat, Dmitry 2 Faranda, Davide ...and 476 more Authors
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Cited in 143 Serials

 36 Communications in Mathematical Physics 33 Ergodic Theory and Dynamical Systems 21 Journal of Statistical Physics 19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 18 Chaos, Solitons and Fractals 15 Inventiones Mathematicae 14 Advances in Mathematics 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Transactions of the American Mathematical Society 13 Physica D 13 Discrete and Continuous Dynamical Systems 13 Chaos 9 Journal of Mathematical Analysis and Applications 9 Dynamical Systems 7 Journal of Functional Analysis 7 Integral Transforms and Special Functions 6 Nonlinearity 6 Arkiv för Matematik 6 Proceedings of the American Mathematical Society 6 Stochastics and Dynamics 5 Journal d’Analyse Mathématique 5 Publications Mathématiques 5 Mathematische Zeitschrift 5 The Journal of Geometric Analysis 4 Israel Journal of Mathematics 4 Acta Mathematica 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Journal of Approximation Theory 4 Journal of Differential Equations 4 Journal of Dynamics and Differential Equations 4 The Journal of Fourier Analysis and Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Applicable Analysis 3 Computers & Mathematics with Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Annales de l’Institut Fourier 3 Duke Mathematical Journal 3 Mathematische Annalen 3 Probability Theory and Related Fields 3 Stochastic Processes and their Applications 3 Boletim da Sociedade Brasileira de Matemática. Nova Série 3 Potential Analysis 3 Journal of Mathematical Sciences (New York) 3 Journal of Difference Equations and Applications 3 Annals of Mathematics. Second Series 3 Regular and Chaotic Dynamics 3 Journal of the European Mathematical Society (JEMS) 3 Journal of Pseudo-Differential Operators and Applications 3 Nonlinear Analysis. Theory, Methods & Applications 2 Communications on Pure and Applied Mathematics 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 The Annals of Probability 2 Michigan Mathematical Journal 2 Numerical Functional Analysis and Optimization 2 Tokyo Journal of Mathematics 2 Journal of Economic Dynamics & Control 2 Japan Journal of Industrial and Applied Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bulletin of the American Mathematical Society. New Series 2 Acta Mathematica Sinica. New Series 2 Indagationes Mathematicae. New Series 2 Experimental Mathematics 2 St. Petersburg Mathematical Journal 2 Bulletin des Sciences Mathématiques 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Communications in Nonlinear Science and Numerical Simulation 2 Foundations of Computational Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Complex Analysis and Operator Theory 2 Journal of Modern Dynamics 2 Advances and Applications in Discrete Mathematics 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Physics Letters. A 1 Reports on Mathematical Physics 1 The Mathematical Intelligencer 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Czechoslovak Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of Number Theory 1 Journal of Soviet Mathematics 1 Le Matematiche 1 Mathematics and Computers in Simulation 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Synthese 1 Topology and its Applications 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series ...and 43 more Serials
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Cited in 44 Fields

 370 Dynamical systems and ergodic theory (37-XX) 53 Harmonic analysis on Euclidean spaces (42-XX) 39 Probability theory and stochastic processes (60-XX) 34 Abstract harmonic analysis (43-XX) 32 Ordinary differential equations (34-XX) 24 Potential theory (31-XX) 22 Measure and integration (28-XX) 21 Functions of a complex variable (30-XX) 15 Integral transforms, operational calculus (44-XX) 15 Operator theory (47-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Partial differential equations (35-XX) 14 Information and communication theory, circuits (94-XX) 10 Mechanics of particles and systems (70-XX) 10 Quantum theory (81-XX) 9 Topological groups, Lie groups (22-XX) 9 Several complex variables and analytic spaces (32-XX) 8 General topology (54-XX) 7 Statistics (62-XX) 6 Real functions (26-XX) 6 Difference and functional equations (39-XX) 6 Functional analysis (46-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Systems theory; control (93-XX) 5 Number theory (11-XX) 5 Special functions (33-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Geometry (51-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX)

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