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Merge branch 'fsm/fourier_2' into fsm/fourier_graphics_2
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Commit 446f8f4 changes the order of the parameters in generators.Recursion,
so this has to be merged and doctests have to be adapted.
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cheuberg committed Feb 11, 2015
2 parents 3fd0274 + fadf152 commit f58350e
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22 changes: 11 additions & 11 deletions src/sage/combinat/finite_state_machine.py
Expand Up @@ -757,6 +757,16 @@
:class:`FSMProcessIterator` for more information on processing and
hooks.
REFERENCES:
.. [HKP2015] Clemens Heuberger, Sara Kropf, and Helmut Prodinger,
*Output sum of transducers: Limiting distribution and periodic
fluctuation*, :arxiv:`1502.01412`.
.. [HKW2014] Clemens Heuberger, Sara Kropf and Stephan Wagner,
*Variances and Covariances in the Central Limit Theorem for the Output
of a Transducer*, :arxiv:`1404.3680v2`.
AUTHORS:
- Daniel Krenn (2012-03-27): initial version
Expand Down Expand Up @@ -7335,7 +7345,7 @@ def final_components(self):
The final components are the only parts of a transducer which
influence the main terms of the asympotic behaviour of the sum
of output labels of a transducer, see [HKP2014]_ and [HKW2014]_.
of output labels of a transducer, see [HKP2015]_ and [HKW2014]_.
EXAMPLES::
Expand All @@ -7358,12 +7368,6 @@ def final_components(self):
sage: T.final_components()[0].transitions()
[Transition from 0 to 1: 0|-,
Transition from 1 to 0: 0|-]
REFERENCES:
.. [HKP2014] Clemens Heuberger, Sara Kropf, and Helmut
Prodinger, *Asymptotic analysis of the sum of the output of
transducer*, in preparation.
"""
DG = self.digraph()
condensation = DG.strongly_connected_components_digraph()
Expand Down Expand Up @@ -8773,10 +8777,6 @@ def asymptotic_moments(self, variable=SR.symbol('n')):
REFERENCES:
.. [HKW2014] Clemens Heuberger, Sara Kropf and Stephan Wagner,
*Variances and Covariances in the Central Limit Theorem for
the Output of a Transducer*, :arxiv:`1404.3680v2`.
.. [HP2007] Clemens Heuberger and Helmut Prodinger, *The Hamming
Weight of the Non-Adjacent-Form under Various Input Statistics*,
Periodica Mathematica Hungarica Vol. 55 (1), 2007, pp. 81–96,
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