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math.PR2020
Polynomial bound for the localization length of Lorentz mirror model on the 1D cylinder
Linjun Li
We prove polynomial upper bounds for the localization length of the Lorentz mirror model and the Manhattan model on the even cylinder. We first show that a fixed positive lower bou…
math.PR2020★ 1 cited
On the Manhattan pinball problem
Linjun Li
We consider the periodic Manhattan lattice with alternating orientations going north-south and east-west. Place obstructions on vertices independently with probability . A p…