The historical sequence of papal names is consistent with a random-copying process with innovation, as predicted by Ewens sampling theory and the Chinese restaurant process.
Poisson Process Approximations for the Ewens Sampling Formula
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In finite-depth random linear optical circuits, entanglement grows at most diffusively and robust circuit complexity scales similarly, with depth bounds ensuring near-maximal subsystem entanglement and closeness to Haar unitaries.
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Quo nomine vis vocari? A random-copying model explains the temporal sequence of papal names
The historical sequence of papal names is consistent with a random-copying process with innovation, as predicted by Ewens sampling theory and the Chinese restaurant process.
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Entanglement and circuit complexity in finite-depth random linear optical networks
In finite-depth random linear optical circuits, entanglement grows at most diffusively and robust circuit complexity scales similarly, with depth bounds ensuring near-maximal subsystem entanglement and closeness to Haar unitaries.