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We study classes of modules over a commutative ring which allow to do homological algebra relative to such a class. We classify those classes consisting of injective modules by certain subsets of ideals. When the ring is Noetherian the subsets are precisel ...
We consider a general class of SPDEs in mathbb{R}^d driven by a Gaussian spatially homogeneous noise which is white in time. We provide sufficient conditions on the coefficients and the spectral measure associated to the noise ensuring that the density of ...
Since 2000, declarations issued in rapid succession by the international community have aimed at setting goals to drastically improve the living conditions of slum dwellers while, in the same time, the slums dwellers increased by 4,5% per year in Africa. S ...
Kariba Dam is a 128 m high arch dam located on the border between Zambia and Zimbabwe. The dam has been constructed in the late 1950s and formed at that time the largest man-made lake worldwide. The dam is equipped with 6 flood gates, each about 9 m high b ...
We study stochastically blinking dynamical systems as in the companion paper (Part I). We analyze the asymptotic properties of the blinking system as time goes to infinity. The trajectories of the averaged and blinking system cannot stick together forever, ...
The reduction of nonholonomic systems is formulated in terms of Dirac reduction. An optimal reduction method for a class of nonholonomic systems is formulated. Several examples are studied in detail. ...
We discuss the adaptive behaviour of a collection of heterogeneous dynamical systems interacting via a weighted network. At each vertex, the network is endowed with a dynamical system with individual (initially different) control parameters governing the l ...
We produce a rigid triple of classes in the algebraic group G(2) in characteristic 5, and use it to show that the finite groups G(2)(5(n)) are not (2, 5, 5)-generated. ...
The paper proposes a generic consensus algorithm that highlights the basic and common features of known consensus algorithms. The parameters of the generic algorithm encapsulate the core differences between various consensus algorithms, including leader-ba ...
We present a new and computationally efficient scheme for classifying signals into a fixed number of known classes. We model classes as subspaces in which the corresponding data is well represented by a dictionary of features. In order to ensure low miscla ...
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