We prove that every C1 diffeomorphism away from homoclinic tangencies is entropy
expansive, with locally uniform expansivity constant. Consequently, such diffeomorphisms …

We show that diffeomorphisms with a dominated splitting of the form $ E^ s\oplus E^ c\oplus
E^ u $, where $ E^ c $ is a nonhyperbolic central bundle that splits in a dominated way into 1 …

In this paper we further explore the L-shadowing property defined in [20] for dynamical
systems on compact spaces. We prove that structurally stable diffeomorphisms and some …

We show that every partially hyperbolic diffeomorphism with a 1-dimensional center bundle
has a principal symbolic extension. On the other hand, we show there are no symbolic …

In this paper, we study N-expansive homeomorphisms on surfaces. We prove that when f is
a 2-expansive homeomorphism defined on a compact boundaryless surface M with non …

The topological entropy of upper recurrent, lower recurrent points and Birkhoff regularity
were considered in Tian (2016 Adv. Math. 288 464–526) but Banach upper recurrence …

For any dynamical system T: X→ X of a compact metric space X with g-almost product
property and uniform separation property, under the assumptions that the periodic points are …

We prove that C^2 surface diffeomorphisms have symbolic extensions, ie topological
extensions which are subshifts over a finite alphabet. Following the strategy of Downarowicz …

In this paper we mainly study the dynamical complexity of Birkhoff ergodic average under
the simultaneous observation of any number of continuous functions. These results can be …

Let $ f: M\to M $ be a diffeomorphism defined on a compact boundaryless $ d $-dimensional
manifold $ M $, $ d\geq 2$. In this note we show that diffeomorphisms in a residual subset …