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second moment but satisfying some weaker finite moment condition. For any locally compact unimodular group G and any positive function  :G→ [0,+∞], we introduce a function G, which describes the ...
This report describes how to optimize linear static control problems involving first and second moments and yield objectives for Gaussian distributions. These problems can be cast as second-order cone...
In this paper, we derive the extended magnetohydrodynamic models based on the moment closure of the Vlasov-Maxwell equation. We adopt the Grad type moment expansion which was firstly proposed in [12...
We point out that the thermodynamic equilibrium is not an interior point of the hyperbolicity region of Grad’s 13-moment system. With a compact expansion of the phase density, which is compacter tha...
Abstract: The main objective of this article is to study the asymptotic behavior of Salie sums over arithmetic progressions. We deduce from our asymptotic formula that Salie sums possess a bias of bei...
Abstract: We establish conditions for uniform $r$-th moment bound of certain $\R^d$-valued functions of a discrete-time stochastic process taking values in a general metric space. The conditions inclu...
Abstract: This short note concerns the possible singular behaviour of moment generating functions of finite measures at the boundary of their domain of existence. We look closer at Example 7.3 in O. B...
Abstract: Using the multilinear theory of oscillatory integral operators, we establish a square function inequality with implications to moment inequalities for discrete exponential sums which frequen...
The parabolic Anderson problem with a random potential obtained by attaching a long tailed potential around a randomly perturbed lattice is studied.The moment asymptotics of the total mass of the solu...
We analyze the phase equilibria of systems of polydisperse hydrocar-bons by means of the recently introduced moment method. Hydrocarbons are modelled with the Soave-Redlick-Kwong and Peng-Robinson equ...
For geometries with a closed three-form we briefly overview the notion of multimoment maps. We then give concrete examples of multi-moment maps for homogeneous hypercomplex and nearly K¨ahler manifold...
The aim of this investigation is to obtain a bijective parameterization of all solutions of the truncated matrix trigonometric moment problem. Recall that the truncated matrix trigonometric moment pro...
Multi-moment maps      Multi-moment maps        2011/1/20
We introduce a notion of moment map adapted to actions of Lie groups that preserve a closed three-form. We show existence of our multi-moment maps in many circumstances, including mild topological as...
We consider the moment space $\mathcal{M}_n^{K}$ corresponding to $p \times p$ complex matrix measures defined on $K$ ($K=[0,1]$ or $K=\D$). We endow this set with the uniform law. We are mainly inte...

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