In this paper, we introduce a new concept called 'a pair of coincident invariant measures' and establish the existence of coincident invariant measures for set-valued dynamical systems. As applications, we first give the existence of minimal invariant measures (see definition below) for a set-valued mapping, and then set-valued versions of Poincare's recurrence theorems are also derived
One of the fundamental questions in dynamical systems is the effect that small perturbations of a dy...
In this partly expository paper we study van der Corput sets in $\Z^d$, with a focus on connections ...
We investigate quantitative recurrence in systems having an infinite invariant measure. We extend th...
AbstractIn this paper, we introduce a new concept called ‘a pair of coincident invariant measures’ a...
Abstract. The existence theorem of an invariant measure and Poincare's Recurrence Theorem are ...
In this article, we generalize the Poincaré recurrence theorem to impulsive dynamical systems in $\m...
We investigate the relationship between Poincare recurrence and topological entropy of a dynamical s...
Invariance properties and convergence of solutions of set dynamical systems are studied. Using a fra...
We construct invariant measures for Hamiltonian systems uch as the nonlinear Schrrdinger equation or...
Abstract. Two new concepts, closeability with respect to a set of pe-riodic points and linkability o...
summary:Using recent results on measure theory and algebraic geometry, we show how semidefinite prog...
We discuss the dependence of set-valued dynamical systems on parameters. Under mild assumptions whic...
We combine recurrence properties of polynomials and IP-sets and show that polynomials evaluated alon...
Abstract. For measure preserving dynamical systems on metric spaces we study the time needed by a ty...
Wir zeigen Basis- und Antibasisresultate für eine Vielzahl von Rekurrenzarten, die in deskriptiver,...
One of the fundamental questions in dynamical systems is the effect that small perturbations of a dy...
In this partly expository paper we study van der Corput sets in $\Z^d$, with a focus on connections ...
We investigate quantitative recurrence in systems having an infinite invariant measure. We extend th...
AbstractIn this paper, we introduce a new concept called ‘a pair of coincident invariant measures’ a...
Abstract. The existence theorem of an invariant measure and Poincare's Recurrence Theorem are ...
In this article, we generalize the Poincaré recurrence theorem to impulsive dynamical systems in $\m...
We investigate the relationship between Poincare recurrence and topological entropy of a dynamical s...
Invariance properties and convergence of solutions of set dynamical systems are studied. Using a fra...
We construct invariant measures for Hamiltonian systems uch as the nonlinear Schrrdinger equation or...
Abstract. Two new concepts, closeability with respect to a set of pe-riodic points and linkability o...
summary:Using recent results on measure theory and algebraic geometry, we show how semidefinite prog...
We discuss the dependence of set-valued dynamical systems on parameters. Under mild assumptions whic...
We combine recurrence properties of polynomials and IP-sets and show that polynomials evaluated alon...
Abstract. For measure preserving dynamical systems on metric spaces we study the time needed by a ty...
Wir zeigen Basis- und Antibasisresultate für eine Vielzahl von Rekurrenzarten, die in deskriptiver,...
One of the fundamental questions in dynamical systems is the effect that small perturbations of a dy...
In this partly expository paper we study van der Corput sets in $\Z^d$, with a focus on connections ...
We investigate quantitative recurrence in systems having an infinite invariant measure. We extend th...
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