Geodesic
Periodic properties of autonomous automata with stack memory
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2018), pp. 53-56

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The paper presents a short proof that pushdown transducers without input generate periodic sequences. We also provide lower and upper bounds for the maximal period of output sequence that can be generated by a pushdown transducer with fixed characteristics. 
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     author = {I. E. Ivanov},
     title = {Periodic properties of autonomous automata with stack memory},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {53--56},
     publisher = {mathdoc},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2018_2_a6/}
}
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I. E. Ivanov. Periodic properties of autonomous automata with stack memory. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2018), pp. 53-56. http://geodesic.mathdoc.fr/item/VMUMM_2018_2_a6/