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DC Field | Value | Language |
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dc.contributor.author | Krasikov, I | - |
dc.contributor.author | Rodgers, GJ | - |
dc.contributor.author | Tripp, CE | - |
dc.coverage.spatial | 10 | en |
dc.date.accessioned | 2006-11-29T12:38:07Z | - |
dc.date.available | 2006-11-29T12:38:07Z | - |
dc.date.issued | 2004 | - |
dc.identifier.citation | Journal of Physics A: Mathematical and General, 37(6): 2365-2370(6), Feb 2004 | en |
dc.identifier.uri | http://www.iop.org/EJ/journal/JPhysA/8 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/419 | - |
dc.description.abstract | We consider the random sequence x[n] = x[n-1] + yxq, with y > 0, where q = 0, 1,..., n - 1 is chosen randomly from a probability distribution P[n] (q). When all q are chosen with equal probability, i.e. P[n](q) = 1/n, we obtain an exact solution for the mean <x[n]> and the divergence of the second moment <x[n]2> as functions of n and y. For y = 1 we examine the divergence of the mean value of x[n], as a function of n, for the random sequences generated by power law and exponential P[n](q) and for the non-random sequence P[n](q) = δ[q,β(n-1)]. | en |
dc.format.extent | 345867 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Institute of Physics Publishing | en |
dc.subject | Statistical moment | en |
dc.subject | Random sequences | en |
dc.subject | Power law | en |
dc.subject | Exact solution | en |
dc.subject | Probability | en |
dc.subject | Probability distribution | en |
dc.title | Growing random sequences | en |
dc.type | Research Paper | en |
dc.identifier.doi | http://dx.doi.org/10.1088/0305-4470/37/6/026 | - |
Appears in Collections: | Mathematical Physics Dept of Mathematics Research Papers Mathematical Sciences |
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File | Description | Size | Format | |
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Growing Random Sequences.pdf | 337.76 kB | Adobe PDF | View/Open |
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