consider a hierarchical model, specifically one in which the base measure for the child Dirichlet processes is itself distributed according to a Dirichlet process. Such a base measure being discrete, the child Dirichlet processes necessarily share atoms. Thus, as desired, the mixture models

Abstract: My talk will consist of three parts: (a) what every atomic physicist needs to know about the physics of light nuclei [and no more]; (b) what nuclear physicists can do for atomic physics; (c) what atomic physicists can do for nuclear physics. A brief qualitative overview of the nuclear

on the boundary of the region. In general, the nonlocal term is an integral of a function over the closure of the region G with respect to a nonnegative Borel measure µ(y, dη), y ∈ ∂G. It is proved that the operator is a generator of a Feller semigroup in the case where the measure is atomic. The smallness

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Abstract. In this paper, wediscuss thedecomposability ofweighted composition operatoruCϕ onLp(X)(1 ≤ p < ∞) of a σ-finite atomicmeasure space (X,S, µ)with the assumption that u ∈ L∞(X) and |u | has positive ess inf. Weprove that if the analytic core ofuCϕ is zero anduCϕ is not quasinilpotent, then it is not decomposable. We also show that if ϕ is either injective almost everywhere or surjective almost everywhere but not both, then uCϕ is not decomposable. Finally, we give a necessary condition for decomposability of uCϕ. 1.

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and calculational techniques for light nuclei will be presented, with an emphasis on debunking myths and on recent progress in the field. Nuclear quantities that affect precise atomic measurements will be discussed, together with their current theoretical and experimental status. The final topic will be a

and purely atomic measures

measure of an important quality factor of a frequency standard. A practical and straightforward method of determining the power spectral density of the frequency fluctuations from the variance of the frequency fluctuations, the sampling time, the number of samples taken, and the dependence on system band

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