Перегляд за автором "Bondarenko, I."

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  • Bondarenko, I.; Grigorchuk, R.; Kravchenko, R.; Muntyan, Y.; Nekrashevych, V.; Savchuk, D.; Sunic, Z. (Algebra and Discrete Mathematics, 2008)
    We show that the class of groups generated by 3-state automata over a 2-letter alphabet has no more than 122 members. For each group in the class we provide some basic information, such as short relators, a few initial ...
  • Van Oost, G.; Bulanin, V.; Donné, A.J.H.; Gusakov, E.; Krämer-Flecken, A.; Krupnik, L.; Heikkinen, J.; Melnikov, A.; Razumova, K.; Rozhansky, V.; Stöcke, J.; Tendler, M.; Van Schoor, M.; Vershkov, V.; Zajac, J.; Altukov, A.; Andreev, V.; Askinazi, L.; Bondarenko, I.; Dnestrovskij, A.; Eliseev, L.; Esipov, L.; Grashin, S.; Gurchenko, A.; Hogeweij, G.M.D.; Kantor, M.; Kaveeva, E.; Kiviniemi, T.; Khrebtov, S.; Kouprienko, D.; Kurki-Suonio, T.; Lashkul, S.; Lebedev, S.; Leerink, S.; Lysenko, S.; Ogando, F.; Perfilov, S.; Petrov, A.; Popov, A.; Shelukhin, D.; Shurygin, R.; Soldatov, S.; Stepanov, A.; Xu, Y. (Вопросы атомной науки и техники, 2009)
    Over the past decade new regimes of tokamak operation have been identified, whereby electrostatic and magnetic turbulence responsible for anomalous transport, can be externally suppressed, leading to improved confinement. ...
  • Bondarenko, I.; Kravchenko, R. (Український математичний журнал, 2013)
    We construct a faithful self-similar action of the discrete Heisenberg group with the following properties: This action is self-replicating, finite-state, level-transitive, and noncontracting. Moreover, there exist orbital ...
  • Bondarenko, I. (Algebra and Discrete Mathematics, 2014)
    We prove that the elements of the Hanoi Towers groups Hm have depth bounded from above by a poly-logarithmic function O(logm⁻²n), where n is the length of an element. Therefore the word problem in groups Hm is solvable in ...