278 research outputs found
Horoball Packing Density Lower Bounds in Higher Dimensional Hyperbolic -space for
Koszul type Coxeter Simplex tilings exist in hyperbolic space
for , and their horoball packings have the highest known
regular ball packing densities for . In this paper we
determine the optimal horoball packings of Koszul type Coxeter simplex tilings
of -dimensional hyperbolic space for , which give new lower
bounds for packing density in each dimension. The symmetries of the packings
are given by Coxeter simplex groups.Comment: 16 Pages, 6 Tables, 1 Figure. arXiv admin note: substantial text
overlap with arXiv:1809.05411, arXiv:1401.608
Bessel Functions in Mass Action. Modeling of Memories and Remembrances
Data from experimental observations of a class of neurological processes
(Freeman K-sets) present functional distribution reproducing Bessel function
behavior. We model such processes with couples of damped/amplified oscillators
which provide time dependent representation of Bessel equation. The root loci
of poles and zeros conform to solutions of K-sets. Some light is shed on the
problem of filling the gap between the cellular level dynamics and the brain
functional activity. Breakdown of time-reversal symmetry is related with the
cortex thermodynamic features. This provides a possible mechanism to deduce
lifetime of recorded memory.Comment: 16 pages, 9 figures, Physics Letters A, 2015 in pres
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