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Self-Similarity and Lamperti Convergence for Families of Stochastic Processes
fractional Hougaard motion Hougaard L´ evy process Lamperti Lamperti
2010/11/26
We define a new type of self-similarity for one-parameter families of stochastic processes,
which applies to a number of important families of processes that are not self-similar in the
conventional...
Extended Self Similarity works for the Burgers equation and why
Extended Self-Similarity Burgers equation
2010/4/6
Extended Self-Similarity (ESS), a procedure that remarkably extends the range of scaling for structure functions in Navier--Stokes turbulence and thus allows improved determination of intermittency ex...
From self-similarity to fractional derivative of non-differentiable functions via Mittag-Leffler function
Fractional differentiability self-similar function Mittag-Leffler function
2010/9/14
This short note focuses on the relation between fractional differentiability, self-similarity and the Mittag-Leffler function, and tries to clarify the origin and the very reason for introducing fract...
Self-similarity and power-like tails in nonconservative kinetic models
Granular gases overpopulated tails Boltzmann equation
2010/12/6
In this paper, we discuss the large–time behavior of solution of a simple kinetic model of Boltzmann–Maxwell type, such that the temperature is time decreasing and/or time increasing.
Functional self-similarity and renormalization group symmetry in mathematical physics
Functional self-similarity renormalization group symmetry mathematical physics
2010/11/1
The result from developing and applying the notions of functional self-similarity and the Bogoliubov renormalization group to boundary-value problems in mathematical physics during the last decade are...