Local Dimensions of Measures of Finite Type II: Measures Without Full Support and With Non-regular Probabilities
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DOI: 10.4153/cjm-2017-025-6
Abstract: Abstract Consider a finite sequence of linear contractions ${{S}_{j}}(x)\,=\,\rho x\,+{{d}_{j}}$ and probabilities $pj\,>\,0$ with $\Sigma \,{{p}_{j}}\,=\,1$ . We are interested in the self-similar measure $\mu \,=\,\Sigma \,{{p}_{j}}\,\mu \,{}^\circ \,s_{j}^{-1}$ , of finite type. In this… read more here.
Keywords: finite type; essential class; regular probabilities; local dimensions ... See more keywords