Skew-product for group-valued edge labellings of Bratteli diagrams.
Sofic Systems and Graphs.
Solenoidal Automorphisms with Specifications.
Some cohomological aspects of the Banach fixed point principle
Let be a continuous selfmap of a compact metrizable space . We prove the equivalence of the following two statements: (1) The mapping is a Banach contraction relative to some compatible metric on . (2) There is a countable point separating family of non-negative functions such that for every there is with .
Some constructions of strictly ergodic non-regular Toeplitz flows
We give a necessary and sufficient condition for a Toeplitz flow to be strictly ergodic. Next we show that the regularity of a Toeplitz flow is not a topological invariant and define the "eventual regularity" as a sequence; its behavior at infinity is topologically invariant. A relation between regularity and topological entropy is given. Finally, we construct strictly ergodic Toeplitz flows with "good" cyclic approximation and non-discrete spectrum.
Some dynamical properties of S-unimodal maps
We study 1) the slopes of central branches of iterates of S-unimodal maps, comparing them to the derivatives on the critical trajectory, 2) the hyperbolic structure of Collet-Eckmann maps estimating the exponents, and under a summability condition 3) the images of the density one under the iterates of the Perron-Frobenius operator, 4) the density of the absolutely continuous invariant measure.
Some families of pseudo-processes
We introduce several types of notions of dis persive, completely unstable, Poisson unstable and Lagrange uns table pseudo-processes. We try to answer the question of how many (in the sense of Baire category) pseudo-processes with each of these properties can be defined on the space . The connections are discussed between several types of pseudo-processes and their limit sets, prolongations and prolongational limit sets. We also present examples of applications of the above results to pseudo-processes...
Some lemmas about dynamical systems.
Some New Examples of Gibbs Measures.
Some properties of weakly almost periodic mappings on compact spaces
Some qualitative problems in the theory of second order partial differential equations
Some remarks about strong proximality of compact flows
This note aims at providing some information about the concept of a strongly proximal compact transformation semigroup. In the affine case, a unified approach to some known results is given. It is also pointed out that a compact flow (X,𝓢) is strongly proximal if (and only if) it is proximal and every point of X has an 𝓢-strongly proximal neighborhood in X. An essential ingredient, in the affine as well as in the nonaffine case, turns out to be the existence of a unique minimal subset.
Some remarks concerning stable attractors
Some results on continuous flows
Spectra of finitely generated Boolean flows.
Spectral properties of G-symbolic Morse shifts
Stability and asymptotic stability in impulsive semidynamical systems.
Stability of Jungck-type iterative procedures.
Stable P an distal dynamical systems.
Strict Uniformity in Ergodic Theory.