报告人:蒋赉 博士后(国科大杭州研究院)
时间:2025年08月29日 14:00-
地点:理科楼LA103
摘要:Let $f$ be a generalized affine fractal interpolation function with vertical scaling functions $S_1, \ldots ,S_N$. In this talk, we study $\dim_B \Gamma f$, the box dimension of the graph of $f$, under the assumption that vertical scaling functions are of bounded. By introducing vertical scaling matrices, we estimate the upper and the lower bounds of oscillations of $f$. As a result, we obtain an explicit formula of $\dim_B \Gamma f$ under certain constraint conditions.
邀请人:数学研究中心
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