Closed-form expressions are derived for the expected hyperbolic volume of the convex hull of n beta-distributed random points in the d-dimensional unit ball under the Klein model.
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Anyon-pair baths yield a nontrivial temperature-dependent spectral density and modified relaxation for a dissipative quantum harmonic oscillator, with anyonic effects most pronounced at intermediate temperatures.
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Expected hyperbolic volumes of random beta polytopes
Closed-form expressions are derived for the expected hyperbolic volume of the convex hull of n beta-distributed random points in the d-dimensional unit ball under the Klein model.
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The quantum harmonic oscillator in a dissipative bath of anyon pairs
Anyon-pair baths yield a nontrivial temperature-dependent spectral density and modified relaxation for a dissipative quantum harmonic oscillator, with anyonic effects most pronounced at intermediate temperatures.