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I'm looking to generate a series of integers in the range [1,1000], that start off with a large spacing, like 1 50 98, etc. At a peak of some distribution, they should be spaced with some minimal [tex]\Delta[/tex] spacing. For example if the peak is at 500 and [tex]\Delta=2[/tex], you might see ... 495, 498, 500, 502, 504, ... Then at the other end of the [1,1000] window, it's back to big spacing 950 999. I'd like the number of integers found in a sliding window of some size in this interval to follow some bell-shaped distribution, but with a constraint on the minimum spacing between numbers.

I get the feeling this is somehow related to a poisson process, so that's why I'm posting here, but that's about it.

Suggestions to bump me in the right direction?

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# Variably spaced data

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