On the Collision between Two Png Droplets
نویسندگان
چکیده
In this article we study the interface generated by the collision between two cristals growing layer by layer on a one-dimensional substrate through random decomposition of particles. We relate this interface with the notion of β-path in an equivalent directed polymer model and, by using asymptotics results from Baik and Rains [3] and some hydrodynamic tools introduced by Cator and Groeenenboon [5], we derive a law of large numbers for such a path and obtain some bounds for its fluctuations.
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