School Seminars and Colloquia

Random Sequential Packing: An Overview of Recent Results

Complex Systems Seminar

by Prof Joseph E. Yukich

Institution: Lehigh University, Bethlehem, Pennsylvania
Date: Fri 4th November 2005
Time: 3:15 PM
Location: Theatre 2, Ground Floor, ICT Building (111 Barry St, Carlton)

Abstract: Consider sequential packing of unit balls in a large cube, as in the Renyi car-parking model, but in any dimension and with either finite or infinite input. We show how to prove a law of large numbers and central limit theorem for the number of packed balls in the thermodynamic limit. We prove analogous results for numerous related applied models, including cooperative sequential adsorption, ballistic deposition, and spatial birth-growth models.

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