Large Intersection Property for Limsup Sets in Metric Space
نویسندگان
چکیده
We show that limsup sets generated by a sequence of open in compact Ahlfors s-regular $(0<s<\infty )$ space $(X,{\mathscr{B}},\mu ,\rho belong to the classes with large intersections index λ, denoted $\mathcal {G}^{\lambda }(X)$ , under some conditions. In particular, this provides lower bound on Hausdorff dimension such sets. These results are applied obtain random fractals indices γ2 and δ {G}^{s-\delta -\gamma _{2}}(X)$ almost surely, covering exponentially mixing property {G}^{s_{0}}(X)$ where s0 equals corresponding surely. also investigate intersection rectangles metric space.
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ژورنال
عنوان ژورنال: Potential Analysis
سال: 2022
ISSN: ['1572-929X', '0926-2601']
DOI: https://doi.org/10.1007/s11118-022-10052-7