AbstractWe prove that, under a mild summability condition on the growth of the derivative on critical orbits any piecewise monotone interval map possibly containing discontinuities and singularities with infinite derivative (cusp map) admits an ergodic invariant probability measures which is absolutely continuous with respect to Lebesgue measure
We give a sufficient condition for a unimodal map of the interval to have an invariant measure absol...
We construct new types of examples of S-unimodal maps ϕ on an interval I that do not have a finite a...
. We consider a class A of affine interval exchange maps of the interval and we analyse several ergo...
AbstractWe prove that, under a mild summability condition on the growth of the derivative on critica...
Given a non-flat S-unimodal interval map f, we show that there exists C which only depends on the or...
Given a non-flat S-unimodal interval map f, we show that there exists C which only depends on the or...
We consider a class of piecewise smooth one-dimensional maps with critical points and singularities ...
We study some special classes of piecewise continuous maps on a finite smooth partition of a compact...
The purpose of this paper is to prove the existence of an invariant measure for a class of unit inte...
Abstract. We consider a quite broad class of maps on compact manifolds of arbitrary dimension possib...
Let [Special characters omitted.] be a family of piecewise linear maps f : [-1,1] [arrow right] [-1,...
We consider a class of piecewise smooth one-dimensional maps with critical points and singularities ...
. A. Lasota and J. A. Yorke [19] proved that a piecewise expanding interval map admits finitely many...
First, we study countably piecewise continuous, piecewise monotone interval maps. We establish a nec...
We prove the existence of absolutely continuous invariant measures for piecewise real-analytic expan...
We give a sufficient condition for a unimodal map of the interval to have an invariant measure absol...
We construct new types of examples of S-unimodal maps ϕ on an interval I that do not have a finite a...
. We consider a class A of affine interval exchange maps of the interval and we analyse several ergo...
AbstractWe prove that, under a mild summability condition on the growth of the derivative on critica...
Given a non-flat S-unimodal interval map f, we show that there exists C which only depends on the or...
Given a non-flat S-unimodal interval map f, we show that there exists C which only depends on the or...
We consider a class of piecewise smooth one-dimensional maps with critical points and singularities ...
We study some special classes of piecewise continuous maps on a finite smooth partition of a compact...
The purpose of this paper is to prove the existence of an invariant measure for a class of unit inte...
Abstract. We consider a quite broad class of maps on compact manifolds of arbitrary dimension possib...
Let [Special characters omitted.] be a family of piecewise linear maps f : [-1,1] [arrow right] [-1,...
We consider a class of piecewise smooth one-dimensional maps with critical points and singularities ...
. A. Lasota and J. A. Yorke [19] proved that a piecewise expanding interval map admits finitely many...
First, we study countably piecewise continuous, piecewise monotone interval maps. We establish a nec...
We prove the existence of absolutely continuous invariant measures for piecewise real-analytic expan...
We give a sufficient condition for a unimodal map of the interval to have an invariant measure absol...
We construct new types of examples of S-unimodal maps ϕ on an interval I that do not have a finite a...
. We consider a class A of affine interval exchange maps of the interval and we analyse several ergo...
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