Selim Ghazouani

I am a post-doc at the Université d'Orsay. Before that, I was a post-doc at the University of Warwick.

Département de Mathématiques Bâtiment 307
Faculté des Sciences d'Orsay
Université Paris-Saclay
F-91405 Orsay Cedex

E-mail: selim(dot)ghazouani(at)universite-paris-saclay(dot)fr

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Research interests

I have recently been mostly interested in the renormalisation of parabolic dynamical systems. My other research interests are geometric structures on surfaces, moduli spaces of such geometric structures and how these relate to one dimensional dynamics.

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Articles :


• SL(2,R)-dynamics on the moduli space of one-holed dilation tori (avec Adrien Boulanger)
  pdf, arXiv
  Accepted for publication in Israel Journal of Math.
  
  
• The symplectic structure for the renormalisation of circle diffeomorphisms with break points (with Kostya Khanin)
  pdf, arXiv
  Accepted for publication in Communication in Contemporary Mathematics
  
  
• Local rigidity for periodic generalised interval exchange transformations
  pdf, arXiv
  Submitted
  
  
• Teichmüller dynamics, dilation tori and piecewise affine homeomorphisms of the circle
  pdf, arXiv
  Accepted for publication in Comm. in Math. Phys.
  
  
• Cascades in the dynamics of affine interval exchange transformations (with Adrien Boulanger et Carlos Fougeroc)
  pdf, arXiv
  Accepted for publication in Ergodic Theory and Dynamical Systems
  
  
• Mapping class group dynamics and the holonomy of branched affine structures
  pdf, arXiv
  To appear in Mathematische Zeitschrift
  
  
• Affine surfaces and their Veech groups (with Eduard Duryev et Carlos Fougeroc)
  pdf, arXiv
  To appear in Journal of Modern Dynamics
  
  
• Flat tori with two conical points and elliptic hypergeometric functions (with Luc Pirio)
  pdf, arXiv
  Accepted for publication in Mémoires de la Société Mathématique de France
  
  
• Moduli spaces of flat tori with prescribed holonomy (with Luc Pirio)
  pdf, arXiv
  Geom. Funct. Anal. 27 (2017), no. 6, 1289–1366.
  
  
• Mapping class group dynamics on Aff(C)-characters
  pdf, Published version
  Annales de l'institut Fourier 66 no. 2 (2016), p. 729-751

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Other texts


• Lecture notes on circle diffeomorphisms
  pdf
  
  
• Une invitation aux surfaces de dilatation
  pdf
  
  
• A short note about the renormalisation of generalised IETs
  pdf
  
  
• Structures affines complexes sur les surfaces de Riemann (PhD thesis)
  pdf
  
  
• Variétés de Gromov-Thurston (Masters dissertation)
  pdf

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Archives:


• Working group 'Super-rigidity' (co-organised with Nicolas Matte Bon) (2014-2015)
  
• Working group 'Three-manifolds' (co-organised with Adrien Boulanger)(2015-2016)
  
• Conference 'Affine and one-dimensional dynamics' in Aussois, December 2018 (co-organised with good old Carlos Fougeron and Adrien Boulanger)
  
• Conference 'Affine and one-dimensional dynamics' in Aussois, December 2017 (co-organised with good old Carlos Fougeron)