arXiv subjects
Publications and source records attributed to Hale Aytaç.
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 an appropriate vector space of functions.
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 around periodic or non periodic points. Then we build a general theory of Extreme Value Laws for randomly perturbed dynamical systems. We also address, in both situations, the convergence of Rare Events Point Processes. Decay of correlations against $L^1$ observables will play a central role in our investigations.