Structures Associated with the Borromean Rings’ Complement in the Poincaré Ball
Anton A. Nazarenko,
A.V. Nazarenko
Abstract:Guided by physical needs, we deal with the rotationally isotropic Poincar´e ball, when considering the complement of Borromean rings embedded in it. We consistently describe the geometry of the complement and realize the fundamental group as isometry subgroup in three dimensions. Applying this realization, we reveal normal stochastization and multifractal behavior within the examined model of directed random walks on the rooted Cayley tree, whose sixbranch graphs are associated with dendritic polymers. Accordi… Show more
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