Statistics of Extreme Fluctuations in Task Completion Landscapes. Hasan Guclu (LANL) with G. Korniss (Rensselaer). Isaac Newton Institute, Cambridge, UK; June 26-30, 2006. Motivation and introduction. Synchronization is a fundamental problem in coupled multi-component systems.
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Statistics of Extreme Fluctuations in Task Completion Landscapes
Hasan Guclu (LANL)
G. Korniss (Rensselaer)
Isaac Newton Institute, Cambridge, UK; June 26-30, 2006
Castillo, Galambos (1988,1989)
Original (1D Ring)
Coarse-grained equation of motion
Hastings, PRL 91, 098701 (2003); Kozma, Hastings, Korniss, PRL 92, 108701 (2003)
Raychaudhuri, PRL, ’01
Majumdar and Comtet (2004)
Exponential noise: individual height distributions
Fisher-Tippett Type I (Gumbel)
Exponential noise: maximum height distributions
Power-law noise in SW network