An approach to the Shannon and Rényi entropy maximization problems with constraints on the mean and law invariant deviation measure for a random variable has been developed. The approach is based on the representation of law invariant deviation measures through corresponding convex compact sets of nonnegative concave functions. A solution to the problem has been shown to have an alpha-concave d...

I suggest that classical General Relativity in four spacetime dimensions incorporates a Principal of Maximal Tension and give arguments to show that the value of the maximal tension is c 4 4G . The relation of this principle to other, possibly deeper, maximal principles is discussed, in particular the relation to the tension in string theory. In that case it leads to a purely classical relation...

Maximum nongaussianity principle for ultrasonic flaw detection Hua-ming LEI, Wei LIANG, Pei-wen QUE Department of Instrument Science and Engineering, Shanghai Jiaotong University, Shanghai, 200240, P.R.China E-mail: [email protected] Abstract: The noise suppression techniques with wavelet transform (WT) are widely used in non-destructive testing and evaluation (NDT&E). In this paper, we have an...

where ci is the D-dimensional vector of the ith link, and i ­ 1, . . . , b. The right-hand side of Eq. (1) is the LBGK collision integral Di , the function N eq i is the local equilibrium, and v $ 0 is a dimensionless parameter. As the state of the lattice is updated long enough, the dynamics of Ni becomes governed by macroscopic equations for a finite system of local averages. Depending on the...

We deal with a generalized statistical description of nonequilibrium complex systems based on least biased distributions given some prior information. A maximum entropy principle is introduced that allows for the determination of the distribution of the fluctuating intensive parameter beta of a superstatistical system, given certain constraints on the complex system under consideration. We appl...

Recently we used the maximum entropy principle for finding the price density in a multi agent insurance market. The result is similar to what the Buhlmann had obtained by maximizing the utility function. Here we begin with the price density that is derived by applying the maximum entropy principle to a conservative economic system (exchange market), then reverse the Buhlmann calculation to find...

In this paper we consider the maximum entropy principle with imprecise side-conditions, where the imprecise side-conditions are modeled as fuzzy sets. Our solution produces fuzzy discrete probability distributions and fuzzy probability density functions.

Many microeconomic and engineering problems can be formulated as stochastic optimization problems that are modelled by Itô evolution systems and by cost functionals expressed as stochastic integrals. Our paper studies some optimization problems constrained by stochastic evolution systems, giving original results on stochastic first integrals, adjoint stochastic processes and a version of simpli...