نتایج جستجو برای: absolute central automorphisms
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Planar polynomial automorphisms are polynomial maps of the plane whose inverse is also a polynomial map. A map is reversible if it is conjugate to its inverse. Here we obtain a normal form for automorphisms that are reversible by an involution that is also in the group of polynomial automorphisms. This form is a composition of a sequence of generalized Hénon maps together with two simple involu...
Automorphisms of Lie algebras over fields of characteristic 0 have been investigated by Borel-Mostow, Jacobson, and Patterson (see [l]> [4], [5]). This note describes some results in [ó] of related investigations of automorphisms of algebraic groups over fields of arbitrary characteristic. In the following discussions, G is a connected linear algebraic group over an algebraically closed field o...
Recently, Shestakov-Umirbaev solved Nagata’s conjecture on an automorphism of a polynomial ring. To solve the conjecture, they defined notions called reductions of types I–IV for automorphisms of a polynomial ring. An automorphism admitting a reduction of type I was first found by Shestakov-Umirbaev. Using a computer, van den Essen–Makar-Limanov–Willems gave a family of such automorphisms. In t...
This note gives an account of the algebraic construction of symbolic covers and representations of ergodic automorphisms of compact abelian groups. For expansive toral automorphisms this subject was initiated by A.M. Vershik.
Motions of the plane (shifts and rotations) correspond to automorphisms of the type I Arveson system of white noise. I prove that automorphisms corresponding to rotations cannot be extended to the type II Arveson system of Warren’s noise.
Objectives: Knowledge about gender differences in intra-limb coordination during walking provides insight into the adaptability of central nervous system for controlling gait in older adults. We assessed the variability and phase dynamic of the intra-limb coordination in older men and women during walking. Methods: Twenty two older people, 11 female and 11 male, participated in this study. T...
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