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5 papers · 1 filter
Trajectories of charged particles trapped in Earth's magnetic field
M. Kaan Öztürk
I outline the theory of relativistic charged-particle motion in the magnetosphere in a way suitable for undergraduate courses. I discuss particle and guiding center motion, derive…
Dynamics of discrete opinions without compromise
M. Kaan Öztürk
A new agent-based, bounded-confidence model for discrete one-dimensional opinion dynamics is presented. The agents interact if their opinions do not differ more than a tolerance pa…
The small index property for free nilpotent groups
Vladimir Tolstykh
Let F be a relatively free algebra of infinite rank. We say that F has the SMALL INDEX PROPERTY if any subgroup of Gamma=Aut(F) of index at most rank(F) contains the pointwise stab…
Generating groups by conjugation-invariant sets
Valery Bardakov, Vladimir Tolstykh, Vladimir Vershinin
Let S be a generating set of a group G. We say that G has FINITE WIDTH relative to S if G=(S\cup S^{-1})^k for a suitable natural number k. We say that a group G is a group of FINI…
Poisson Structures for Aristotelian Model of Three Body Motion
E. Abadoğlu, H. Gümral
We present explicitly Poisson structures, for both time-dependent and time-independent Hamiltonians, of a dynamical system with three degrees of freedom introduced and studied by C…