Sergi Burniol Clotet

Publications

• Topology of horocycles on geometrically finite nonpositively curved surfaces. Geom Dedicata 218, 92 (2024). https://doi.org/10.1007/s10711-024-00941-z
• Unique ergodicity of the horocyclic flow on nonpositively curved surfaces. Isr. J. Math. (2024). https://doi.org/10.1007/s11856-024-2662-5
  
• Unique ergodicity of the horocycle flow of a higher genus compact surface with no conjugate points and continuous Green bundles. J. Mod. Dyn. (2023), 19:795–813.
  
• Equidistribution of horospheres in non-positive curvature. Ergodic Theory and Dynamical Systems, 1-20 (2021). doi:10.1017/etds.2021.124
  

Preprints

• Rigidity of the unstable foliation. Submitted (2025)
  

Work in progress

• Constructing examples of minimal horocyclic flows on foliations by hyperbolic surfaces (j.w. Matilde Martínez & Rafael Potrie).
• Invariant measures for horocyclic flows on nonpositively curved surfaces

Other texts

• PhD thesis, under the supervision of Yves Coudène.
• Mémoire de M2
• Equivalence of the different definitions of the Sasaki distance