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physics.data-an2017★ 2 cited
Non-scaling displacement distributions as may be seen in fluorescence correlation spectroscopy
S. M. J. Khadem, I. M. Sokolov
A continuous time random walk (CTRW) model with waiting times following the Levy-stable distribution with exponential cut-off in equilibrium is a simple theoretical model giving ri…
physics.data-an2016★ 9 cited
Non-spectral modes and how to find them in the Ornstein-Uhlenbeck process with white μ-stable noise
F. Thiel, I. M. Sokolov, E. B. Postnikov
We consider the Ornstein-Uhlenbeck process with a broad initial probability distribution (Levy distribution), which exhibits so-called non-spectral modes. The relaxation of such mo…
physics.data-an2009★ 18 cited
Sampling from naturally truncated power laws: The matchmaking paradox
I. M. Sokolov, I. Eliazar
Consider a network of M >> 1 nodes connected by N >> 1 links, in which the distribution of the number of links per node follows a power law with exponent 0<α<1. The power law is na…