Classical well-posedness theory is developed for master equations and related mean-field systems on finite graphs with individual noise, enabled by a quantitative positivity-preservation estimate for the discrete continuity equation that avoids boundary degeneracy.
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Master equations with an individual noise on finite state graphs
Classical well-posedness theory is developed for master equations and related mean-field systems on finite graphs with individual noise, enabled by a quantitative positivity-preservation estimate for the discrete continuity equation that avoids boundary degeneracy.