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A solvable model of fracture with power-law distribution of fragment sizes
solvable model power-law distribution Statistical Mechanics
2011/7/27
Abstract: The present paper describes a stochastic model of fracture, whose fragment size distribution can be calculated analytically as a power-law-like distribution. The model is basically cascade f...
Typical rank of coin-toss power-law random matrices over GF(2)
Typical coin-toss power-law
2010/11/18
Random linear systems over the Galois Field modulo 2 have an interest in connection with problems ranging from computational op-timization to complex networks.
We present a perturbative approach for studying inflation models with soft departures from scale free spectra of the power law model. In the perturbed power law (PPL) approach one obtains at the leadi...
Point Processes Modeling of Time Series Exhibiting Power-Law Statistics
point processes 1/fnoise stochastic differentiale quations power-law distributions
2010/4/27
We consider stochastic point processes generating time series exhibiting power laws of spectrum and distribution density (Phys. Rev. E 71, 051105 (2005)) and apply them for modeling the trading activi...