Global ETD Search
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Showing 1 to 2 of 2 for “"Self-similar measures"”.
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On the Fourier decay and the dimension of self-similar measures
… speed of the decay of the Fourier transform of self-similar measures on $\R$. An iterated function system (IFS) on $\R$ is a collection of maps $f_1, \dots, f_r$ with $f_i(x)=\lambda_i x+\tau_i$, where $|\lambda_i|<1$ and $\lambda_i, \tau_i \in \R$. The self-similar measure $\mu$ associated to …
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Absolutely Continuous Stationary Measures
… studies the absolute continuity of stationary measures. Given a finite set of measurable maps $S_1, S_2, \dots, S_n$ on a measurable set $X$ and a probability vector $p_1, p_2, \dots, p_n$ we say that a probability measure $\nu$ on $X$ is stationary if $\begin{equation*} \nu = \sum_{i=1}^{n} …