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math.PR2013
Internal DLA for cylinders
David Jerison, Lionel Levine, Scott Sheffield
We show that space-time averages of the fluctuations of internal DLA on a cylinder Z_N x Z converge in law to the Gaussian free field.
math.PR2013★ 3 cited
Escape rates for rotor walk in Z^d
Laura Florescu, Shirshendu Ganguly, Lionel Levine +1
Rotor walk is a deterministic analogue of random walk. We study its recurrence and transience properties on Z^d for the initial configuration of all rotors aligned. If n particles…