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## Burguet, David

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 Author ID: burguet.david Published as: Burguet, David
 Documents Indexed: 22 Publications since 2008, including 1 Book

#### Co-Authors

 18 single-authored 1 Downarowicz, Tomasz 1 Fisher, Todd L. 1 Liao, Gang 1 Mcgoff, Kevin 1 Yang, Jiagang
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#### Serials

 2 Fundamenta Mathematicae 2 Ergodic Theory and Dynamical Systems 2 Discrete and Continuous Dynamical Systems 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Nonlinearity 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of Dynamics and Differential Equations 1 Journal of the European Mathematical Society (JEMS) 1 Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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#### Fields

 20 Dynamical systems and ergodic theory (37-XX) 3 Measure and integration (28-XX) 2 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

16 Publications have been cited 77 times in 52 Documents Cited by Year
A proof of Yomdin-Gromov’s algebraic Lemma. Zbl 1169.14038
Burguet, David
2008
A direct proof of the tail variational principle and its extension to maps. Zbl 1160.37320
Burguet, David
2009
Examples of $${\mathcal C}^r$$ interval map with large symbolic extension entropy. Zbl 1193.37049
Burguet, David
2010
$$\mathcal{C}^{2}$$ surface diffeomorphisms have symbolic extensions. Zbl 1263.37065
Burguet, David
2011
Asymptotic $$h$$-expansiveness rate of $$C^{\infty}$$ maps. Zbl 1352.37015
Burguet, David; Liao, Gang; Yang, Jiagang
2015
Symbolic extensions in intermediate smoothness on surfaces. (Extensions symboliques en régularité intermédiaire sur les surfaces.) Zbl 1282.37015
Burguet, David
2012
Embedding asymptotically expansive systems. Zbl 1377.37012
Burguet, David
2017
Periodic expansiveness of smooth surface diffeomorphisms and applications. Zbl 1437.37052
Burguet, David
2020
Topological and almost Borel universality for systems with the weak specification property. Zbl 1447.37018
Burguet, David
2020
Symbolic extensions for nonuniformly entropy expanding maps. Zbl 1277.37049
Burguet, David
2010
Orders of accumulation of entropy. Zbl 1252.37008
Burguet, David; Mcgoff, Kevin
2012
Existence of measures of maximal entropy for $$\mathcal{C}^r$$ interval maps. Zbl 1290.37020
Burguet, David
2014
Uniform generators, symbolic extensions with an embedding, and structure of periodic orbits. Zbl 1427.37011
Burguet, David; Downarowicz, Tomasz
2019
Symbolic extensions for partially hyperbolic dynamical systems with 2-dimensional center bundle. Zbl 1306.37019
Burguet, David; Fisher, Todd
2013
Quantitative Morse-Sard theorem via the algebraic lemma. Zbl 1218.58027
Burguet, David
2011
Symbolic extensions and continuity properties of the entropy. Zbl 1235.37007
Burguet, David
2011
Periodic expansiveness of smooth surface diffeomorphisms and applications. Zbl 1437.37052
Burguet, David
2020
Topological and almost Borel universality for systems with the weak specification property. Zbl 1447.37018
Burguet, David
2020
Uniform generators, symbolic extensions with an embedding, and structure of periodic orbits. Zbl 1427.37011
Burguet, David; Downarowicz, Tomasz
2019
Embedding asymptotically expansive systems. Zbl 1377.37012
Burguet, David
2017
Asymptotic $$h$$-expansiveness rate of $$C^{\infty}$$ maps. Zbl 1352.37015
Burguet, David; Liao, Gang; Yang, Jiagang
2015
Existence of measures of maximal entropy for $$\mathcal{C}^r$$ interval maps. Zbl 1290.37020
Burguet, David
2014
Symbolic extensions for partially hyperbolic dynamical systems with 2-dimensional center bundle. Zbl 1306.37019
Burguet, David; Fisher, Todd
2013
Symbolic extensions in intermediate smoothness on surfaces. (Extensions symboliques en régularité intermédiaire sur les surfaces.) Zbl 1282.37015
Burguet, David
2012
Orders of accumulation of entropy. Zbl 1252.37008
Burguet, David; Mcgoff, Kevin
2012
$$\mathcal{C}^{2}$$ surface diffeomorphisms have symbolic extensions. Zbl 1263.37065
Burguet, David
2011
Quantitative Morse-Sard theorem via the algebraic lemma. Zbl 1218.58027
Burguet, David
2011
Symbolic extensions and continuity properties of the entropy. Zbl 1235.37007
Burguet, David
2011
Examples of $${\mathcal C}^r$$ interval map with large symbolic extension entropy. Zbl 1193.37049
Burguet, David
2010
Symbolic extensions for nonuniformly entropy expanding maps. Zbl 1277.37049
Burguet, David
2010
A direct proof of the tail variational principle and its extension to maps. Zbl 1160.37320
Burguet, David
2009
A proof of Yomdin-Gromov’s algebraic Lemma. Zbl 1169.14038
Burguet, David
2008
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#### Cited by 65 Authors

 11 Burguet, David 4 Chen, Ercai 3 Downarowicz, Tomasz 3 Yomdin, Yosef 2 Buzzi, Jérôme 2 Catalan, Thiago 2 Cheng, Wenchiao 2 Fisher, Todd L. 2 Ma, Xianfeng 2 Zhou, Yunhua 1 Arbieto, Alexander 1 Armijo, Alma 1 Binyamini, Gal 1 Bourgain, Jean 1 Boyle, Mike 1 Cao, Yongluo 1 Climenhaga, Vaughn 1 Cluckers, Raf 1 Comte, Georges 1 Crovisier, Sylvain 1 de Thélin, Henry 1 Ding, Dandan 1 Gauthier, Thomas 1 Haviv, D. 1 Huang, Wen 1 Kachkovskiy, Ilya V. 1 Karpel, Olena 1 Katz, Nets Hawk 1 Kocel-Cynk, Beata 1 Kuang, Rui 1 Ledrappier, François 1 Li, Bing 1 Liao, Gang 1 Lima, Yuri 1 Loeser, François 1 Ma, Dongkui 1 Maass, Alejandro 1 Marmon, Oscar 1 Mcgoff, Kevin 1 Novikov, Dmitry 1 Obata, Davi 1 Pawłucki, Wiesław 1 Peng, Jing Lan 1 Pila, Jonathan 1 Quas, Anthony 1 Rogers, Keith McKenzie 1 Sarig, Omri M. 1 Senos, Laura 1 Soo, Terry 1 Tahzibi, Ali 1 Thomas, Margaret E. M. 1 Thompson, Daniel J. 1 Valette-Stasica, Anna 1 Van Hille, Siegfried 1 Vigny, Gabriel 1 Wilkie, Alex James 1 Xu, Leiye 1 Xu, Shengnan 1 Yang, Jiagang 1 Yang, Junqi 1 You, Zhiyuan 1 Zahl, Joshua 1 Zhang, Yaqing 1 Zhang, Zhiming 1 Zhou, Xiaoyao
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#### Cited in 38 Serials

 5 Ergodic Theory and Dynamical Systems 3 Advances in Mathematics 3 Journal of Modern Dynamics 2 Communications in Mathematical Physics 2 Inventiones Mathematicae 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 Dynamical Systems 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Fundamenta Mathematicae 1 Journal of Differential Equations 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Theoretical Computer Science 1 Annals of Pure and Applied Logic 1 Journal of Complexity 1 Journal of the American Mathematical Society 1 Japan Journal of Industrial and Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Forum of Mathematics, Pi 1 Electronic Research Archive
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#### Cited in 19 Fields

 39 Dynamical systems and ergodic theory (37-XX) 8 Algebraic geometry (14-XX) 7 Mathematical logic and foundations (03-XX) 4 Number theory (11-XX) 4 Measure and integration (28-XX) 4 Several complex variables and analytic spaces (32-XX) 4 General topology (54-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX)