In this paper we derive sufficient conditions for local optimality, for the Lagrange problem in the calculus of variations involving mixed equality constraints, by means of the notion of augmented Lagrangians. It is well-known that the standard necessary conditions for that problem can be easily obtained under the assumption of augmentability, instead of the usual one of normality. On the other...

Criminals have their activities described as 'a career crime', and Dr. R. D. Laing has spoken of 'madness j*s a career'. Large industries have been created around careers: police, prisons, mental hospitals, psychiatrists, welfare and so on. The productive aim of oese industries is rehabilitated persons?i.e. people jfl whom the tendency to mad or criminal behaviour been eliminated. The criterion...

a subgroup $x$ of a group $g$ is almost normal if the index $|g:n_g(x)|$ is finite, while $x$ is nearly normal if it has finite index in the normal closure $x^g$. this paper investigates the structure of groups in which every (infinite) subgroup is either almost normal or nearly normal.

We consider a lacunar wavelet series function observed with an additive Brownian motion. Such functions are statistically characterized by two parameters. The first parameter governs the lacunarity of the wavelet coefficients while the second one governs its intensity. In this paper, we establish the local and asymptotic normality (LAN) of the model, with respect to this couple of parameters. T...

We extend our previous results on local asymptotic normality (LAN) for qubits [18, 15] to quantum systems of arbitrary finite dimension d. LAN means that the quantum statistical model consisting of n identically prepared d-dimensional systems with joint state ρ converges as n → ∞ to a statistical model consisting of classical and quantum Gaussian variables with fixed and known covariance matrix...