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math.PR2026
Atomic limits of empirical measures of interacting particle systems with self-duality
Mario Ayala, Nicolas Dirr, Johannes Zimmer
We study the fixed-particle limit of empirical measures for a unified self-dual family of conservative particle systems on : independent random walkers, the symmetric…
math.PR2026
Computing Extinction Barriers in a Quorum-Sensing Reaction Network
Mario Ayala, Johannes Zimmer
We introduce a simple reaction-network model of a quorum-sensing population that couples the cell density to the signal density . In the four-channel cell-signal network stu…