Abstract
We prove that under some not overrestrictive assumptions the relative averaged Dehn function is bounded above and below by constants.
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Original Russian Text Copyright © 2006 Kukina E. G.
The author was supported by the Russian Foundation for Basic Research (Grant 04-01-00489) and the Ministry for Education of the Russian Federation (Grant E-02-1.0-191).
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Translated from Sibirski \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Matematicheski \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Zhurnal, Vol. 47, No. 2, pp. 361–364, March–April, 2006.
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Kukina, E.G. The averaged Dehn function relative to a given probability measure. Sib Math J 47, 298–300 (2006). https://doi.org/10.1007/s11202-006-0042-5
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DOI: https://doi.org/10.1007/s11202-006-0042-5