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math.PR2024
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.PR2023
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…
math.PR2022
Functional Central Limit Theorems for Local Statistics of Spatial Birth-Death Processes in the Thermodynamic Regime
Efe Onaran, Omer Bobrowski, Robert J. Adler
We present normal approximation results at the process level for local functionals defined on dynamic Poisson processes in . The dynamics we study here are those of a…