On axiomatic characterization of entropy of type
On Dimensional Functions and Topological Markov Chains.
On Ergodic Properties of Inner Functions.
On extremal and perfect σ-algebras for flows
It is shown that there exists a flow on a Lebesgue space with finite entropy and an extremal σ-algebra of it which is not perfect.
On Generators for Ergodic Flowers.
On invariant functions for positive operators
On Obtaining a Stationary Process Isomorphic to a Given Process with a Desired Distribution.
On Quasi-Invariant Measures in Uniquely Ergodic Systems.
On regular generator of Z²-actions in exhaustive partitions
On some functional equations from additive and nonadditive measures. IV.
On the branching property of entropy
On the central limit problem for processes of zero entropy
On the countable generator theorem
Let T be a finite entropy, aperiodic automorphism of a nonatomic probability space. We give an elementary proof of the existence of a finite entropy, countable generating partition for T.
On the differential and residual entropy
On the directional entropy for ℤ²-actions on a Lebesgue space
We define the concept of directional entropy for arbitrary -actions on a Lebesgue space, we examine its basic properties and consider its behaviour in the class of product actions and rigid actions.
On the directional entropy of ℤ²-actions generated by cellular automata
We show that for any cellular automaton (CA) ℤ²-action Φ on the space of all doubly infinite sequences with values in a finite set A, determined by an automaton rule , l,r ∈ ℤ, l ≤ r, and any Φ-invariant Borel probability measure, the directional entropy , v⃗= (x,y) ∈ ℝ², is bounded above by if and by in the opposite case, where , . We also show that in the class of permutative CA-actions the bounds are attained if the measure considered is uniform Bernoulli.
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 structure of the space of continuous maps with zero topological entropy