For noisy Hegselmann-Krause dynamics, bounded spaces guarantee finite-time quasi-synchronization in all dimensions, while unbounded spaces only do so in dimensions one and two, with non-integrable waiting times.
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Properties of Quasi-synchronization Time of High-dimensional Hegselmann-Krause Dynamics
For noisy Hegselmann-Krause dynamics, bounded spaces guarantee finite-time quasi-synchronization in all dimensions, while unbounded spaces only do so in dimensions one and two, with non-integrable waiting times.