Let $(X, f) $ be a dynamical system with the specification property and $\varphi $ be
continuous functions. In this paper, we establish some conditional variational principles for …

We introduce the concept of upper metric mean dimension of a one-parameter family of
scaled pressure functions, which extends the corresponding notion for a single potential and …

The present paper contributes to develop metric mean dimension theory of continuous
bundle random dynamical systems, which is driven by [\emph {Adv. Math.}\textbf …

We investigate the metric mean dimension of subshifts of compact type. We prove that the
metric mean dimensions of a continuous map and its inverse limit coincide, generalizing …

Let $(X, f) $ be a dynamical system with the specification property and $\varphi $ be a
continuous function. In this paper, we consider the multifractal irregular set\begin {align*} I …

We introduce the notions of packing entropy and local entropy with respect to the deformed
metric. In particular, a variational principle between deformed packing entropy and deformed …

In this paper we introduce the notion of Feldman-Katok pseudo-orbits and use it to study
topological pressure. We prove that the topological pressure of a dynamical system can be …

In this paper we introduce the notion of scaled pressure of continuous flows. It is proved that
scaled pressure is preserved under certain reparametrizations of orbits and Lipschitz …