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math.PR2026
Ising Disks: Topology Preserving Glauber Dynamics
Yuliy Baryshnikov, Efe Onaran
We introduce a dynamic model where the state space is the set of contractible cubical sets in the Euclidian space. The permissible state transitions, that is addition and removal o…
math.PR2026
Central Limit Theorems for Local Functionals of Dynamic Point Processes
Efe Onaran, Omer Bobrowski, Robert J. Adler
We establish finite-dimensional central limit theorems for local, additive, interaction functions of temporally evolving point processes. The dynamics are those of a spatial Poisso…