Limit theorems for monotonic particle systems and sequential deposition

Mathew D. Penrose

Stochastic Processes and their Applications, 2002, vol. 98, issue 2, 175-197

Abstract: We prove spatial laws of large numbers and central limit theorems for the ultimate number of adsorbed particles in a large class of multidimensional random and cooperative sequential adsorption schemes on the lattice, and also for the Johnson-Mehl model of birth, linear growth and spatial exclusion in the continuum. The lattice result is also applicable to certain telecommunications networks. The proofs are based on a general law of large numbers and central limit theorem for sums of random variables determined by the restriction of a white noise process to large spatial regions.

Keywords: Particle; systems; Sequential; adsorption; Telecommunications; network (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (2)

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