On some special iteration groups
On Tabor's problem concerning a certain quasi-ordering of iterative roots of functions.
On the convergence of sequences of iterates of random-valued functions.
On the entropy of Darboux functions
We prove some results concerning the entropy of Darboux (and almost continuous) functions. We first generalize some theorems valid for continuous functions, and then we study properties which are specific to Darboux functions. Finally, we give theorems on approximating almost continuous functions by functions with infinite entropy.
On the fixed points in an -limit set
Let and be closed subsets of [0,1] with a subset of the limit points of . Necessary and sufficient conditions are found for the existence of a continuous function such that is an -limit set for and is the set of fixed points of in .
On the functional equation f(...(x) + g(y)) = ..(x) * h(x+y). (Short Communication).
On the functional equation f(...(x) + g(y)) = ...(x) * h(x+y).
On the iteration of the hat-functions.
On the iterative process
On the orbits of hat-functions
On the rotation sets for non-continuous circle maps.
On the speed of convergence of iteration of a function.
On the stability of chaotic functions
On the structure of minimal attraction centers of recurrent trajectories of continuous maps of the interval.
On the structure of the space of continuous maps with zero topological entropy
On topological sequence entropy and chaotic maps on inverse limit spaces.
Optimal bounds for the length of rational Collatz cycles