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math.DS2020★ 3 cited
Robust Exponential Mixing and Convergence to Equilibrium for Singular Hyperbolic Attracting Sets
Vitor Araujo, Edvan Trindade
We extend results on robust exponential mixing for geometric Lorenz attractors, with a dense orbit and a unique singularity, to singular-hyperbolic attracting sets with any number…
math.DS2017★ 9 cited
Upper large deviations bound for singular-hyperbolic attracting sets
Vitor Araujo, Andressa Souza, Edvan Trindade
We obtain a exponential large deviation upper bound for continuous observables on suspension semiflows over a non-uniformly expanding base transformation with non-flat singularitie…