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math.PR2026
Coupling Markov chains with a common image chain
Edward Crane, Alexander E. Holroyd, Erin Russell
Consider time-homogeneous discrete-time Markov chains , , and on countable state spaces, considered as stochastic processes with specified initial distributions. Suppose…
math.PR2025
Polluted Modified Bootstrap Percolation
Janko Gravner, Alexander Holroyd, Sangchul Lee +1
In the polluted modified bootstrap percolation model, sites in the square lattice are independently initially occupied with probability or closed with probability . A site b…