Jean-Philippe Burelle

collaborators

3 papers

math.SG2025

Deformations of quasi-Hamiltonian spaces

Jean-Philippe Burelle, Mohamed Moussadek Maiza, Maxence Mayrand

We introduce a notion of deformations of quasi-Hamiltonian $G$ -spaces to Hamiltonian $G$ -spaces and provide several examples. In particular, we show that the double $G \times G$ of…

math.DS2025

Products of exact dynamical systems and Lorentzian continued fractions

Brandon G. Barreto-Rosa, Jean-Philippe Burelle, Anton Lukyanenko +1

We describe a new continued fraction system in Minkowski space $R^{1, 1}$ , proving convergence, ergodicity with respect to an explicit invariant measure, and Lagrange's theo…

math.DG2024

Proper affine deformations of positive representations

Jean-Philippe Burelle, NeÅ¾a Å½ager Korenjak

We define for every positive Anosov representation of a nonabelian free group into $SO (2 n, 2 n - 1)$ a family of $R^{4 n - 1}$ -valued cocycles which induce proper affine…