## Journals

- Advances in Mathematics of Communications
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- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
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- Journal of Dynamics & Games
- Journal of Geometric Mechanics
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DCDS

We relate the local specification and periodic shadowing properties. We also clarify the relation between local weak specification and local specification if the system is measure expansive. The notion of strong measure expansiveness is introduced, and an example of a non-expansive systems with the strong measure expansive property is given. Moreover, we find a family of examples with the $N$-expansive property, which are not strong measure expansive. We finally show a spectral decomposition theorem for strong measure expansive dynamical systems with shadowing.

DCDS

We introduce a relative Gurevich pressure for random countable
topologically mixing Markov shifts. It is shown that the relative variational
principle holds for this notion of pressure. We also prove a relative Ruelle-Perron-Frobenius theorem which enables
us to construct a wealth of invariant Gibbs measures for locally fiber Hölder continuous
functions. This is accomplished via a new construction of an equivariant
family of fiber measures using Crauel's relative Prohorov theorem. Some
properties of the Gibbs measures are discussed as well.

DCDS

We correct a flaw in the proof of Proposition 6.3 in [1].

DCDS-B

We introduce several notions of specification for iterated function systems and exhibit some of their dynamical properties. In particular, we show that topological entropy and algebraic pressure [4] of systems with specification are approximable by the corresponding expressions for finitely generated iterated function systems.

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