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Nonlinear shot noise, memory systems, and all-time hit parades

Iddo Eliazar and Joseph Klafter

Physica A: Statistical Mechanics and its Applications, 2006, vol. 366, issue C, 281-298

Abstract: Consider the evolution of a memory system ‘fed’ by an external event-process. New memories are continuously recorded by the system. Simultaneously, the recollection of old memories continuously fades away. Thus, at a given time epoch the memory system ranks all past events according to present importance-magnitudes attributed to them. Illustratively, the memory system is an all-time hit parade run continuously in time.

Keywords: Memory systems; Nonlinear shot noise; Poisson point processes; The M/G/∞ queue (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:366:y:2006:i:c:p:281-298

DOI: 10.1016/j.physa.2005.10.042

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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