#17222: Fourier coefficients of the fluctuation of the output sum of a
transducer
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Reporter: cheuberg | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.8
Component: finite state | Resolution:
machines | Merged in:
Keywords: Fourier | Reviewers: Sara Kropf
coefficients | Work issues:
Authors: Clemens | Commit:
Heuberger, Sara Kropf | f3a50656193b10295f86d6bc205f3a3f0a2f9bd3
Report Upstream: N/A | Stopgaps:
Branch: |
u/cheuberg/fsm/fourier_2 |
Dependencies: #16747, #17194, |
#17198, #17218, #17220, #17221 |
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Changes (by cheuberg):
* milestone: sage-6.5 => sage-6.8
Old description:
> In a forthcoming paper (Clemens Heuberger, Sara Kropf, and Helmut
> Prodinger, Asymptotic analysis of the sum of the output of transducers),
> we study the sum of output of a transducer when reading a random non-
> negative integer up to a certain N. Under suitable conditions, it has a
> periodic fluctuation in the second order term. In that paper, we compute
> the Fourier coefficients of this periodic fluctuation. This ticket shall
> hold the corresponding Sage code.
New description:
In [HKP2015], we study the sum of output of a transducer when reading a
random non-negative integer up to a certain N. Under suitable conditions,
it has a periodic fluctuation in the second order term. In that paper, we
compute the Fourier coefficients of this periodic fluctuation. This ticket
holds the corresponding Sage code.
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Ticket URL: <http://trac.sagemath.org/ticket/17222#comment:17>
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