Let S : [0, 1] → [0, 1] be a piecewise increasing mapping satisfying some generalized convexity condition, so that it possesses an invariant density that is a decreasing function. We show that this invariant density can be computed by a family of Markov finite approximations that preserve the monotonicity of integrable functions. We also construct a quadratic spline Markov method and demonstrate its merits numerically
In this paper, we explore some properties of a Markov finite element approximation on a shape-regula...
Abstract. Consider a piecewise smooth expanding map of the interval possessing several invariant sub...
We prove that a, Markov operator T on L-1 has an invariant density if and only if there exists a den...
AbstractLet τ: [0,1] → [0,1] be a piecewise linear Markov map. It is shown that all density function...
LetS:[0, 1]→[0,1] be a piecewise convex transformation satisfying some conditions which guarantee th...
In this paper, we consider the problem of approximating a function by Bernstein-type polynomials tha...
Let S : [0, 1] --\u3e [0, 1] be a mapping and let P : L-1 (0, 1) --\u3e L-1 (0, 1) be the correspond...
We study the approximation of absolutely continuous invariant measures of systems defined by random ...
We consider a natural approximation scheme for piecewise expanding, piecewise C1+Lipschitz, mixing M...
We construct piecewise linear Markov finite approximations of Markov operators defined on L-1([0, 1]...
Classes of piecewise constant functions, which can serve as the ergodic densities for constructible ...
In this article, we study piecewise linear discretization schemes for transfer operators (PerronFrob...
AbstractLet T be a piecewise monotone, expanding, and C2 mapping of the unit interval to itself whic...
A Generalized Farkas' Theorem of Craven and Koliha (1977) is used to derive necessary and sufficient...
: We consider piecewise monotone interval mappings which are topologically mixing and satisfy the Ma...
In this paper, we explore some properties of a Markov finite element approximation on a shape-regula...
Abstract. Consider a piecewise smooth expanding map of the interval possessing several invariant sub...
We prove that a, Markov operator T on L-1 has an invariant density if and only if there exists a den...
AbstractLet τ: [0,1] → [0,1] be a piecewise linear Markov map. It is shown that all density function...
LetS:[0, 1]→[0,1] be a piecewise convex transformation satisfying some conditions which guarantee th...
In this paper, we consider the problem of approximating a function by Bernstein-type polynomials tha...
Let S : [0, 1] --\u3e [0, 1] be a mapping and let P : L-1 (0, 1) --\u3e L-1 (0, 1) be the correspond...
We study the approximation of absolutely continuous invariant measures of systems defined by random ...
We consider a natural approximation scheme for piecewise expanding, piecewise C1+Lipschitz, mixing M...
We construct piecewise linear Markov finite approximations of Markov operators defined on L-1([0, 1]...
Classes of piecewise constant functions, which can serve as the ergodic densities for constructible ...
In this article, we study piecewise linear discretization schemes for transfer operators (PerronFrob...
AbstractLet T be a piecewise monotone, expanding, and C2 mapping of the unit interval to itself whic...
A Generalized Farkas' Theorem of Craven and Koliha (1977) is used to derive necessary and sufficient...
: We consider piecewise monotone interval mappings which are topologically mixing and satisfy the Ma...
In this paper, we explore some properties of a Markov finite element approximation on a shape-regula...
Abstract. Consider a piecewise smooth expanding map of the interval possessing several invariant sub...
We prove that a, Markov operator T on L-1 has an invariant density if and only if there exists a den...
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