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Quantitative convergence guarantees for the mean-field dispersion process (2406.05043v2)
Published 7 Jun 2024 in math.PR and math.CA
Abstract: We study the discrete Fokker-Planck equation associated with the mean-field dynamics of a particle system called the dispersion process. For different regimes of the average number of particles per site, we establish various quantitative long-time convergence guarantees toward the global equilibrium, which is also confirmed by numerical simulations.
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