Publications

David Burguet (2024). SRB measures for partially hyperbolic diffeomorphisms with one dimensional center subbundles. Soumis.

David Burguet, Dawei Yang (2024). SRB measures for mostly expanding partially hyperbolic diffeomorphisms via the variational approach. Soumis.

David Burguet (2023). Habilitation Thesis. 21 Juin 2023.

David Burguet, Ruxi Shi (2023). Multiplicity of topological systems . Paru en ligne Erg.Th.Dyn.Sys.

David Burguet, Ruxi Shi (2022). Mean dimension of induced systems . A paraitre Trans.Amer.Math.Soc.

David Burguet (2022). Maximal measure and entropic continuity of Lyapunov exponents For $C^r$ surface diffeomorphisms with large entropy. Ann. Henri Poincare 25, 1485-1510 (2024).

David Burguet (2022). SRB measures for smooth surface diffeomorphisms. Invent. math. 235, 1019-1062 (2024).

David Burguet, Ruxi Shi (2021). Mean dimension of continuous automata. Paru en ligne Israel journal of Math (2023).

David Burguet, Ruxi Shi (2021). Zero dimensional and symbolic extensions for topological flows. DCDS A 42 (2022) n.3 p. 1105-1126.

David Burguet (2020). Rescaled entropy of cellular automata. Nonlinearity 34 (2021), no. 7, 4897-4922.

David Burguet, Gang Liao (2019). Symbolic extensions for 3-dimensional diffeomorphisms. Journal d’An. Math 145 (2021) n.1 p. 381-400.

David Burguet (2018). Symbolic extensions and uniform generators for topological regular flows. J. Differential Equations 267 (2019), no. 7, 4320-4372.

David Burguet (2018). Entropy of physical measures for $C^{\infty}$ Dynamical systems. Commun. Math. Phys. 375, 1201-1222 (2020).

David Burguet (2017). Topological and almost Borel universality for systems with the weak specification property. Erg.Th.Dyn.Sys. 40 (2020), no.8, 2098-2115.

David Burguet (2017). Periodic expansiveness of smooth surface diffeomorphisms and applications. J. Eur. Math. Soc. (JEMS) 22 (2020), no. 2, 413-454.

David Burguet (2016). Usc/fibred entropy structure and applications. Dyn. Syst. 32 (2017), no. 3, 391-409.

David Burguet, Tomasz Downarowicz (2016). Uniform generators, symbolic extensions with an embedding, and structure of periodic orbits. J. Dynam. Differential Equations 31, 2019, no 2, 815-852.

David Burguet (2015). Jumps of entropy for $C^r$ interval maps. Fund. Math. 231 (2015), no. 3, 299-317.

David Burguet (2014). Embedding asymptotically expansive systems. Monatsh. Math. 184 (2017), no. 1, 21-49.

David Burguet, Gang Liao, Jiagang Yang (2013). Asymptotic $h$-expansiveness rate of $C^{\infty}$ maps. Proc. Lond. Math. Soc. (3) 111 (2015), no. 2, 381-419.

David Burguet, Todd FIsher (2012). Symbolic extensions for partially hyperbolic dynamical systems with 2-dimensional center bundle. . Discrete Contin. Dyn. Syst. 33 (2013), no. 6, 2253-2270.

David Burguet (2012). Existence of measures of maximal entropy for $C^r$ interval maps. Proc. Amer. Math. Soc. 142 (2014), no. 3, 957-968.

David Burguet (2011). Symbolic extensions in intermediate smoothness on surfaces. Ann. Sci. Ec. Norm. Super. (4) 45 (2012), no. 2, 337-362.

David Burguet (2010). Symbolic extensions and continuity properties of the entropy. Arch. Math. (Basel) 96 (2011), no. 4, 387-400.

David Burguet (2010). Quantitative Morse Sard theorem via algebraic lemma.. C. R. Math. Acad. Sci. Paris 349 (2011), no. 7-8, 441-443.

David Burguet (2010). Examples of $C^r$ interval map with large symbolic extension entropy. . . Discrete Contin. Dyn. Syst. 26 (2010), no. 3, 873-899.

David Burguet (2009). Symbolic extensions for nonuniformly entropy expanding maps. Colloq. Math. 121 (2010), no. 1, 129-151.

David Burguet, Kevin Mcgoff (2009). Orders of accumulation of entropy. Fund. Math. 216 (2012), no. 1, 1-53.

David Burguet (2009). $C^2$ surface diffeomorphisms have symbolic extensions. Invent. Math. 186 (2011), no. 1, 191-236.

David Burguet (2008). A direct proof of the tail variational principle and its extension to maps. Ergodic Theory Dynam. Systems 29 (2009), no. 2, 357-369.

David Burguet (2007). A proof of Yomdin-Gromov's algebraic lemma. Israel J. Math. 168 (2008), 291-316.