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 seven 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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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.

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Some recent Talks

in international conferences

Rescaled entropy of cellular automata

Feb 1, 2021 Orsay

Slides

Entropy of physical measures for $C^\infty$ systems

Nov 26, 2019 Observatoire de Paris

Slides

New applications of smooth parametrizations for $C^\infty$ systems

May 20, 2019 CIRM

Course 1 Course 2 Course 3

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)