FEATURES OF MIGRATION PROCESSES IN DIFFERENT WORLD INDUSTRIES IN THE SECOND HALF OF THE XX CENTURY
Article
Journal of Applied Economic Sciences.
ASERS Publishing House.
Vol. 11.
2016.
P. 1769-1780
Functional equation for the crossover in the model of one-dimensional Weierstrass random walks
We consider the problem of one-dimensional symmetric diffusion in the framework of Markov random walks of the Weierstrass type using two-parameter scaling for the transition probability. We construct a solution for the characteristic Lyapunov function as a sum of regular (homogeneous) and singular (nonhomogeneous) solutions and find the conditions for the crossover from normal to anomalous diffusion. © 2016, Pleiades Publishing, Ltd.
Authors
Rudoi Y.G.
1
,
Kotel’nikova O.A.2
Number of issue
3
Language
English
Pages
1818-1823
Status
Published
Link
Volume
189
Year
2016
Organizations
- 1 Peoples’ Friendship University of Russia, Moscow, Russian Federation
- 2 Lomonosov Moscow State University, Moscow, Russian Federation
Keywords
anomalous diffusion; fractal dimension; functional pressure; Markov process; normal diffusion; Weierstrass function
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Acta Literaria.
Universidad de Concepcion.
Vol. 2016.
2016.
P. 195-209