In this work, we show that if f is a uniformly continuous map defined over Polish metric space, then the set of f-invariant measures with zero entropy G δ $G_\delta$ (in weak topology). particular, generic f-periodic dense in measures. This settles conjecture posed by Sigmund (Trans. Amer. Math. Soc. 190 (1974), 285–299), which states an invariant measure topological dynamical system satisfies ...

The frequent reappearance of patent parasitemia, mainly Trypanosoma congolense, in cattle maintained under isometamidium prophylaxis in the Upper Volta indicated that drug-resistant forms might be appearing. To investigate this possibility, trypanosome stocks were isolated in mice, their isometamidium sensitivity estimated and compared to that of stocks isolated before drug use was widespread. ...

Abstract We introduce a notion of sensitivity with respect to continuous real-valued bounded map which provides sufficient condition for transformation, acting on Baire metric space, exhibit generic subset points historic behavior (also known as irregular points). The applications this criterion recover, and extend, several theorems the genericity set, in addition yielding number new results, i...

ENTRE GRITOS E SATÉLITES, AS IMAGENS À NOSSA VOLTA

recently, rahimi et al. [comp. appl. math. 2013, in press] dened the conceptof quadrupled xed point in k-metric spaces and proved several quadrupled xed pointtheorems for solid cones on k-metric spaces. in this paper some quadrupled xed point resultsfor t-contraction on k-metric spaces without normality condition are proved. obtainedresults extend and generalize well-known comparable result...