David Burguet

David Burguet

CR CNRS Researcher

LPSM / SORBONNE UNIVERSITE

I work on dynamical sytems and ergodic theory. In particular I am interesting in entropy and symbolic coding of smooth systems by using tools from semi-algebraic geometry.

Since October 2011 I am a member of LPSM in Sorbonne University as a CNRS researcher. I coorganize the Seminar of Ergodic Theory in Jussieu with Pierre-Antoine Guiheneuf. I am also teaching in the Math Department of Ecole Polytechnique for four years ago.

Interests

  • Ergodic Theory
  • Smooth dynamical systems
  • Symbolic dynamics
  • Real semialgebraic geometry

Education

  • PhD in Dynamical Systems, 2008

    Ecole Polytechnique

  • Master in Mathematics, 2005

    University Paris 11

Articles

Publications, preprints and others

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(2019). Symbolic extensions for 3-dimensional diffeomorphisms. To appear in Journal d’An. Math.

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

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

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

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Courses

MAT 551 Master 1

An introduction in ergodic theory and dynamical systems (2017-)

Probability Master 2

A first course in ergodic theory (2013-2015)

Teacher training degree Master 2

Analysis and differential equations (2008-2011)

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