Maarten,

You are correct about the frequency, but the statistic of interest here 
is the phase or offset from one server to another. Accumulated over many 
poll intervals, the phase does a random walk. In your terms, the 
integral of a Gaussian distribution is a random walk.

Dave

Maarten Wiltink wrote:
> "David L. Mills" <[EMAIL PROTECTED]> wrote in message
> news:[EMAIL PROTECTED]
> 
> 
>>>>>Is there also a random backoff after an increase of the polling
>>>>>interval?
> 
> 
>>>>No. However, there is a small dither of a few percent at all poll
>>>>intervals to resist self-synchronization.
> 
> 
>>The natural behavior of a bunch of oscillators near the same frequency
>>is to become one giant phase-locked oscillator. Adding a bit of random
>>fuzz at each poll turns each oscillator into a mini random-walk which
>>breaks up that tendency. The fuzz is not a lot, like 10 percent.
> 
> 
> Do you mean the dither alluded to above is cumulative?
> 
> I was never much good with statistics and remember only that the
> expectation of the offset after N steps in a random walk is sqrt(N)
> times the average step size. Not a clue what the distribution might
> be. Intuitively, I would be aiming for uniform, and randomly adding
> half a polling interval delay when doubling it seemed to me like it
> would do that.
> 
> Groetjes,
> Maarten Wiltink
> 
> 

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