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Jun 9, 2018 at 12:24 comment added Thomas Rippl No new answers from my side. A few more sources are listed in this article.
Jun 6, 2018 at 9:46 comment added Bruce Wayne Hi, I asked basically the same question a week ago here mathoverflow.net/questions/301498/… I just wanted to check if you found any further answers in full generality?
Jan 27, 2014 at 8:34 comment added Thomas Rippl If $(E,r)$ is a complete separable metric space, then there is the concept of weak$^\#$ convergence for boundedly finite measures $\mu \in \mathcal{M}_{\text{bf}}(E) = \{ \mu \in \mathcal{M}(E):\, \mu(A) < \infty \ \text{for all bounded } A \in \mathcal{E} \}$. However, this concept is more related to vague convergence. A good description of the concept can be found in Appendix 2.6 of An Introduction to the Theory of Point Processes: Volume I, by D.J. Daley and D. Vere-Jones. My main interest was the situation $E = \mathbb{R}^d \setminus \{0\}$ so I am happy with this source.
Jan 21, 2014 at 9:36 history asked Thomas Rippl CC BY-SA 3.0