70 citations · 77 across the 3 of their papers we have counts for
3 papers
math.DG2025
Exponential families and affine Grassmannians
Danuzia Nascimento Figueirêdo, Hale Aytaç, Mathieu Molitor
We establish a one-to-one correspondence between the set of minimal exponential families of dimension n defined on a finite sample space Ω and the affine Grassmannian associated to…
math.DS2016★ 7 cited
Decay of correlations and laws of rare events for transitive random maps
Vitor Araujo, Hale Aytac
We show that a uniformly continuous random perturbation of a transitive map defines an aperiodic Harris chain which also satisfies Doeblin's condition. As a result, we get exponent…
math.DS2012★ 70 cited
Laws of rare events for deterministic and random dynamical systems
Hale Aytaç, Jorge Milhazes Freitas, Sandro Vaienti
The object of this paper is twofold. From one side we study the dichotomy, in terms of the Extremal Index of the possible Extreme Value Laws, when the rare events are centred aroun…