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Random sequential covering of a one-dimensional lattice by $k$-mers

Random sequential covering of a one-dimensional lattice by $k$-mers

In random sequential covering, identical objects are deposited randomly, irreversibly, and sequentially; only attempts that increase coverage are accepted. The process continues indefinitely on an infinite substrate, and we analyze the dynamics of random sequential covering of $\mathbb{Z}$ using $k$-mers. We introduce a method that provides a comprehensive solution to …