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4 papers · 2 filters
Physical measures for infinite-modal maps
Vitor Araujo, Maria Jose Pacifico
We analyze certain parametrized families of one-dimensional maps with infinitely many critical points from the measure-theoretical point of view. We prove that such families have a…
Statistical stability of saddle-node arcs
Vitor Araujo, Maria Jose' Pacifico
We study the dynamics of generic unfoldings of saddle-node circle local diffeomorphisms from the measure theoretical point of view, obtaining statistical stability results for dete…
Stochastic stability at the boundary of expanding maps
Vitor Araujo, Ali Tahzibi
We consider endomorphisms of a compact manifold which are expanding except for a finite number of points and prove the existence and uniqueness of a physical measure and its stocha…
On the continuity of the SRB entropy for endomorphisms
Jose F. Alves, Krerley Oliveira, Ali Tahzibi
We consider classes of dynamical systems admitting Markov induced maps. Under general assumptions, which in particular guarantee the existence of SRB measures, we prove that the en…