3 papers
math.DS2026
On multidimensional infinite dihedral group extensions of Gibbs Markov maps
Jaime Gomez, Dalia Terhesiu
We obtain a local central limit theorem for cocycles associated with a class of non abelian and non compact group extensions of Gibbs Markov maps. This class consists of multidimen…
math.DS2025
Ratio limits and pressure function for group extensions of Gibbs Markov maps
Jaime Gomez, Dalia Terhesiu
Ratio limit theorems for random walks on (various) groups are known. We obtain a generalization of this type of ratio limit for deterministic walks on certain groups driven by Gibb…
math.PR2025
Generalized law of iterated logarithm for the Lorentz gas with infinite horizon
Péter Bálint, Dalia Terhesiu
We obtain a generalized law of the iterated logarithm for a class of dependent processes with superdiffusive behaviour. Our results apply in particular to the Lorentz gas with infi…