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math.DS2017★ 4 cited
Lyapunov exponents for expansive homeomorphisms
M. J. Pacifico, J. Vieitez
Let (M,d) be a compact metric space and f:M --> M an expansive homeomorphism. We define Lyapunov exponents L(f,m)_{max} and l(f,mu)_{min} for an f-invariant measure m. When L(f,m)_…
math.DS2009★ 7 cited
Robust entropy expansiveness implies generic domination
M. J. Pacifico, J. L. Vieitez
Let be a -diffeomorphism, , defined on a compact boundaryless -dimensional manifold , , and let be the homoclinic class associated…
math.DS2004★ 1 cited
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…