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Phase transition for parking blocks, Brownian excursion and coalescence
Random Struct. Algorithms, no. 1 (2002): 76-119
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Abstract
In this paper, we consider hashing with linear probing for a hashing table with m places, n items (n m), and ℓ = m - n empty places. For a noncomputer science-minded reader, we shall use the metaphore of n cars parking on m places: each car ci chooses a place pi at random, and if pi is occupied, ci tries successively pi + 1, pi + 2, until...More
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