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2020 IPS Conference
Study Materials
Corporate Members
Home
About/Contact
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Events/Seminars
2020 IPS Conference
Study Materials
Corporate Members
We find infinite densities, which describe strong anomalous diffusion where <|x(t)|q>~tq ν(q) with a nonlinear spectrum ν(q)≠const. The latter is widespread and found in nonlinear deterministic dynamics and experiments of active transport in live cells. Using a stochastic approach we show how this phenomena is related to the infinite densities, i.e., in the long time limit the system is described by a non-normalized state. Our work shows that infinite measures play an important role in the statistical description of open systems exhibiting multi-fractal anomalous diffusion as they are complementary to the central limit theorem.