On the dynamics of rational maps
On the entropy and generators of dynamical systems
Recently D. Dumitrescu ([4], [5]) introduced a new kind of entropy of dynamical systems using fuzzy partitions ([1], [6]) instead of usual partitions (see also [7], [11], [12]). In this article a representation theorem is proved expressing the entropy of the dynamical system by the entropy of a generating partition.
On the Entropy of the Geodesic Flow in Manifolds Without Conjugate Points.
On the ergodic decomposition for a cocycle
Let (X,,μ,τ) be an ergodic dynamical system and φ be a measurable map from X to a locally compact second countable group G with left Haar measure . We consider the map defined on X × G by and the cocycle generated by φ. Using a characterization of the ergodic invariant measures for , we give the form of the ergodic decomposition of or more generally of the -invariant measures , where is χ∘φ-conformal for an exponential χ on G.
On the existence of an invariant measure for the dynamical system generated by partial differential equation
On the existence of cohomologous continuous cocycles for cocycles with values in some Lie groups
On the existence of finite generators for invertible measure-preserving transformations
On the existence of invariant measures for piecewise convex transformations
On the generalization of the Stein-Weiss theorem for the ergodic Hilbert transform
The Stein-Weiss theorem that the distribution function of the Hilbert transform of the characteristic function of E depends only on the measure of E is generalized to the ergodic Hilbert transform.
On the generalized Avez method
A generalization of the Avez method of construction of an invariant measure is presented.
On the growth of averaged Weyl sums for rigid rotations
On the individual ergodic theorem for subsequences
On the individual ergodic theorem on a logic
On the Infinite Product Construction of Non-Singular Transformations of a Measure Space.
On the integrability of the ergodic Hilbert transform for a class of functions with equal absolute values.
On the integrability of the ergodic maximal function
On the invariance principle for non-uniformly expanding transformations of [0, 1].
On the invariant measure for Jacobi-Perron algorithm.
On the lifting of invariant measures
On the local ergodic theorems of Krengel, Kubokawa, and Terrell