Geometry, Dynamics, Arithmetic, Combinatorics group and their interactions
Manager
Themes
Geometry
Dynamics
Arithmetic
Combinatorics
Présentation
Groupe GDAC
The boundaries between geometry, dynamics, arithmetic and combinatorics are blurred and open. This vagueness is fully assumed: indeed, it is one of the keys to the richness of the GDAC group’s scientific life. The 4 themes interact regularly, as evidenced by the numerous joint publications.
Thèmes de recherche
Geometry
Dynamics
Arithmetic
Combinatorics
Geometry
- Automorphisms of FN free groups and associated spaces : Thierry Coulbois, Martin Lustig, Hamish Short
- Teichmüller spaces: John Hubbard, Pascal Hubert
- Limit groups and representations of 3-variety groups: Peter Haissinsky, Luisa Paoluzzi
- Translating surfaces: John Hubbard, Pascal Hubert
- Small varieties : Jérôme Los, Luisa Paoluzzi, Hamish Short
- Complex differential geometry: Jean-Paul Mohsen
Dynamics
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- Billiards: Nicolas Bédaride, Pascal Hubert, Serge Troubetzkoy
- Intervals: Pierre Arnoux, Sébastien Ferenczi, Pascal Hubert, Arnaldo Nogueira, Serge Troubetzkoy
- Differentiable dynamics: Patrick Foulon
- Hamiltonian dynamics: Cristel Chandre
- Holomorphic dynamics: Peter Haissinsky, Dierk Schleicher, John Hubbard
- Interval dynamics: Michel Laurent, Arnaldo Nogueira, Serge Troubetzkoy
- Symbolic dynamics: Nicolas Bédaride, Thierry Coulbois, Pierre Guillon, Paul Mercat, Serge Troubetzkoy
- Continuous fractions: Pierre Arnoux, Nicolas Bédaride, Julien Cassaigne, Paul Mercat, Arnaldo Nogueira
- Determinantal processes: Alexandre Bufetov
- Substitutions : Pierre Arnoux, Alexandre Bufetov, Julien Cassaigne, Sébastien Ferenczi, Paul Mercat
- Translating surfaces: Pascal Hubert, Serge Troubetzkoy
- Topological dynamics: Pierre Guillon, Lionel Nguyen Van Thé
Arithmetic
- Diophantine approximation and discrepancy : Michel Laurent, Arnaldo Nogueira
- Algebraic integer series in several variables
- Prime numbers, sieves, additive and multiplicative problems : Sary Drappeau, Olivier Ramaré, Joel Rivat
- Analytical number theory: Sary Drappeau, Olivier Ramare, Joel Rivat
- Analytical arithmetic in F
q
[X] : Mireille Car - Functional equations and formal series: Guillaume Rond, Marina Poulet
Combinatorics
- Word combinatorics: Nicolas Bédaride, Julien Cassaigne, Anna Frid, Paul Mercat
- Complexity: Julien Cassaigne, Sébastien Ferenczi, Anna Frid, Etienne Moutot
- Cellular automata: Pierre Guillon, Guillaume Theyssier
- Graphics: Pierre Ille
- Paving: Nicolas Bédaride, Pierre Guillon, Etienne Moutot
- Ramsey theory : Lionel Nguyen Van The
Annuaire
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