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Anomalous scaling and generic structure function in turbulence
generic structure function Anomalous scaling exponential self-similar
2011/7/7
We discuss on an example a general mechanism of apparition of anomalous scaling in scale invariant systems via zero modes of a scale invariant operator. We discuss the relevance of such mechanism in t...
The uncertainty measure for q-exponential distribution function
q-exponential distribution VarEntropy method MaxEnt nonextensive entropy
2010/11/30
Based on the q-exponential distribution which has been observed in more and more physical systems, the varentropy method is used to derive the uncertainty measure of such an abnormal distribution func...
Vertical Developments of a Convex Function
Convex analysis second-order derivative approximate subdifferential semidefinite programming
2009/1/22
In this paper we compare two different approaches to analyse the second-order behaviour of a convex function. The first one is classical, we call it the horizontal approach; the second one is more rec...
Lipschitz Continuity of the State Function in a Shape Optimization Problem
Lipschitz State Function Optimization Problem
2009/1/20
This paper deals with the existence and the regularity of state function $u$ in an $N$-dimensional shape optimization problem. We use a variational approach to get the existence of a solution $u$ of a...
The Fractional Derives of a Fractal Function
Weierstrass function fractional derivatives dimensions of graphs of functions
2007/12/12
The present paper investigates the fractional derivatives of Weierstrass function, proves that there exists some linear connection between the order of the fractional derivatives and the dimension of ...