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Directed random walks in random environments (1991)

Buffet, E. ; Hannigan, P.

Springer

Journal of statistical physics 65 (1991), S. 645-672

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ISSN: 1572-9613

Keywords: Directed random walk ; pure birth process ; holding time ; strong law of large numbers ; central limit theorem

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract We use holding time methods to study the asymptotic behavior of pure birth processes with random transition rates. Both the normal and slow approaches to infinity are studied. Fluctuations are shown to obey the central limit theorem for almost all sample-transition rates. Our results are stronger, and our proofs simpler, then those of recently published studies.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01053747

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