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universality of the percolation theory is still valid. In this study, the effect of power law size distribution on the critical …The standard percolation theory uses objects of the same size. Moreover, it has long been observed that the percolation … exponents of the percolation theory of the two dimensional models is investigated. Two different object shapes i.e., stick …
Persistent link: https://www.econbiz.de/10010709449
The recent progress in the study of finite-size scaling (FSS) properties of the Ising model is briefly reviewed. We calculate the universal FSS functions for the Binder parameter g and the magnetization distribution function p(m) for the Ising model on L1×L2 two-dimensional lattices with tilted...
Persistent link: https://www.econbiz.de/10011058017
they do agree with the known values for the three-dimensional Ising universality class. …
Persistent link: https://www.econbiz.de/10011059965
The problem of non-universality of the conductivity critical exponents in anisotropic percolating systems is discussed … in this paper. The authors bring simple arguments and gather experimental evidences to show that universality is … anisotropy. If the latter is constant within a non-vanishing region close to the percolation threshold, a single critical …
Persistent link: https://www.econbiz.de/10011063540
Based on a deterministic cell cycle model, the mesoscopic stochastic differential equations are theoretically derived from the biochemical reactions. The effects of the finite cell size on the cell cycle regulation in the wild type and wee1-cdc25Δ double mutant type are numerically studied by...
Persistent link: https://www.econbiz.de/10011062034
The scaling function from multiresolution analysis can be used to constuct a smoothing tool in the context of time series analysis. We give a time series smoothing function for which we show the properties of a quasilinear moving average. Furthermore; we discuss its features and especially derive...
Persistent link: https://www.econbiz.de/10010299750
Persistent link: https://www.econbiz.de/10011632222
Persistent link: https://www.econbiz.de/10010539380
This work focuses on a method to characterize stochastic processes by way of their scaling function tau(·). The kernel idea is that, notwithstanding the properties of the stochastic generating process of raw data, a minimum set of conditions is required to provide empirical estimation of the...
Persistent link: https://www.econbiz.de/10005706832
The scaling function from multiresolution analysis can be used to constuct a smoothing tool in the context of time series analysis. We give a time series smoothing function for which we show the properties of a quasilinear moving average. Furthermore; we discuss its features and especially derive...
Persistent link: https://www.econbiz.de/10008493565