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Showing 1 to 7 of 7 for “"(Absolute) continuity"”.
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A tensor product approach to non-local differential complexes
… convergence on the level of cores. Under an absolute continuity condition, we construct Hilbert complexes, observe invariance properties, and obtain associated self-adjoint Hodge Laplacians. For the case of _d_-regular measures and operators of fractional Laplacian type, we provide results on …
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Exhaustivity, continuity, and strong additivity in topological Riesz spaces.
In this paper, exhaustivity, continuity, and strong additivity are studied in the setting of topological Riesz spaces. Of particular interest is the link between strong additivity and exhaustive elements of Dedekind s-complete Banach lattices. There is a strong connection between the Diestel-Faires …
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Continuous Spectra For Substitution-Based Sequences
… corresponding sequences that satisfy it having absolutely continuous spectrum. Then we use the recent advances in Bartlett [10, 11] to show that the Rudin–Shapiro-like sequence has singular continuous spectrum, hence does not satisfy the root-N property. This gives a negative answer to the …
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Precision Aggregated Local Models
… ordinary GPs. However, a big downside is loss of continuity at partition boundaries. Modern methods like local approximate GPs (LAGPs) imply effectively infinite partitioning and are thus pathologically good and bad in this regard. Model averaging, an alternative to divide-and-conquer, can …
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Absolutely Continuous Stationary Measures
This thesis 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 = …
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On the Fourier decay and the dimension of self-similar measures
… $f_i$. %Studying properties, like dimension, absolute continuity and the Fourier decay of $\mu$, is one of the central objectives in the field of fractal geometry. It is expected that unless there are algebraic obstructions, self-similar measure have full dimension, are absolutely continuous …