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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

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Jacob Goodchild

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#edge computing Open access Oct 2026

Exact results for Kerr black holes: shadow areas and perimeters, capture of slow particles, and escape from near extremal horizons

We give exact results for several observables of Kerr black holes that have so far been computed numerically, by fits, or only at isolated parameter values. (i) The area of the shadow seen by an equatorial observer, for every spin, in complete elliptic integrals, together with its small-spin series and its near-extrema...

Jacob Goodchild · 0 citations
#edge computing Open access Oct 2026

Exact results for Kerr black holes: shadow areas and perimeters, capture of slow particles, and escape from near extremal horizons

We give exact results for several observables of Kerr black holes that have so far been computed numerically, by fits, or only at isolated parameter values. (i) The area of the shadow seen by an equatorial observer, for every spin, in complete elliptic integrals, together with its small-spin series and its near-extrema...

Jacob Goodchild · 0 citations
#edge computing Open access Sep 2026

Exact localization of Grover quantum walks on crystal lattices: transfer currents, a universal bound, and uniform-spanning-tree degree laws

Exact results for the localization ("trapping") of discrete-time Grover quantum walks on crystal lattices. A finite fraction of a Grover walker stays at its starting point forever, because the walk operator has flat eigenvalues. This paper computes the long-time return probability p̄ exactly for many lattices. Main res...

Jacob Goodchild · 0 citations

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