Add to ORKGWe use an Ulam-type discretization scheme to provide pointwise approximations for invariant densities of interval maps with a neutral fixed point. We prove that the approximate invariant density converges pointwise to the true density at a rate C∗⋅(lnm)/m, where C∗ is a computable fixed constant and m−1 is the mesh size of the discretization
AbstractLet T be a piecewise monotone, expanding, and C2 mapping of the unit interval to itself whic...
We describe a framework in which it is possible to develop and implement algorithms for the approxim...
Certain dynamical systems on the interval with neutrally stable repelling points admit invariant pro...
Abstract. We use an Ulam-type discretization scheme to provide pointwise approximations for invarian...
The statistical behavior of families of maps is important in studying the stability properties of ch...
In this article, we study piecewise linear discretization schemes for transfer operators (PerronFrob...
We use Ulam’s method to provide rigorous approximation of diffusion coefficients for uniformly expan...
This thesis studies statistical properties of intermittent maps. We obtain three new results. First ...
A randommap is a discrete-time dynamical system in which one of a number of transfor-mations is rand...
International audienceWe consider two classes of piecewise expanding maps $T$ of $[0,1]$: a class of...
AbstractWe give a novel way of constructing the density function for the absolutely continuous invar...
This paper generalises Gora and Boyarsky’s bounded variation(BV) approach to the ergodic properties ...
: We consider piecewise monotone interval mappings which are topologically mixing and satisfy the Ma...
In this paper we present a general, axiomatical framework for the rigorous approximation of invarian...
Ulam's method is a rigorous numerical scheme for approximating invariant densities of dynamical syst...
AbstractLet T be a piecewise monotone, expanding, and C2 mapping of the unit interval to itself whic...
We describe a framework in which it is possible to develop and implement algorithms for the approxim...
Certain dynamical systems on the interval with neutrally stable repelling points admit invariant pro...
Abstract. We use an Ulam-type discretization scheme to provide pointwise approximations for invarian...
The statistical behavior of families of maps is important in studying the stability properties of ch...
In this article, we study piecewise linear discretization schemes for transfer operators (PerronFrob...
We use Ulam’s method to provide rigorous approximation of diffusion coefficients for uniformly expan...
This thesis studies statistical properties of intermittent maps. We obtain three new results. First ...
A randommap is a discrete-time dynamical system in which one of a number of transfor-mations is rand...
International audienceWe consider two classes of piecewise expanding maps $T$ of $[0,1]$: a class of...
AbstractWe give a novel way of constructing the density function for the absolutely continuous invar...
This paper generalises Gora and Boyarsky’s bounded variation(BV) approach to the ergodic properties ...
: We consider piecewise monotone interval mappings which are topologically mixing and satisfy the Ma...
In this paper we present a general, axiomatical framework for the rigorous approximation of invarian...
Ulam's method is a rigorous numerical scheme for approximating invariant densities of dynamical syst...
AbstractLet T be a piecewise monotone, expanding, and C2 mapping of the unit interval to itself whic...
We describe a framework in which it is possible to develop and implement algorithms for the approxim...
Certain dynamical systems on the interval with neutrally stable repelling points admit invariant pro...