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We prove that Hausel’s formula for the number of rational points of a Nakajima quiver variety over a finite field also holds in a suitable localization of the Grothendieck ring of varieties. In order to generalize the arithmetic harmonic analysis in his pr ...
We here study the scouring processes that evolve around a submarine pipeline placed on a weakly cohesive seabed. We first analyze some laboratory tests carried out by Vijaya Kumar et al. [21], Xu et al. [25] and Zhou et al. [28] that focused on the scourin ...
We investigate lower and upper bounds for the blowup times of a system of semilinear SPDEs. Under certain conditions on the system parameters, we obtain explicit solutions of a related system of random PDEs, which allows us to use a formula due to Yor to o ...
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 ...
The invention relates to a method for preparing enantiomerically pure 4-pyrrolidinophenylbenzyl ether derivatives of formula I: wherein R, R, R, R, Rand n are as defined in the description and claims and to intermediates useful in the m ...
Let Q denote a smooth manifold acted upon smoothly by a Lie group G. The G-action lifts to an action on the total space TQ of the cotangent bundle of Q and hence on the standard symplectic Poisson algebra of smooth functions on TQ. The Poisson algebra of ...
The bitumen quantity to add to asphalt mixtures depends on the surfaces of aggregates and filler to be coated. The formulas currently available in the literature have limitations such as considering all the fillers with the same specific surface or the agg ...
We derive an analytical expression for the effective force between a pair of macrospheres immersed in a sea of microspheres, in the case where the interaction between the two unlike species is assumed to be a square well or a square shoulder of given range ...
A hybrid propulsion system has been designed for an optional use in the Formula S2000, based on supercapacitive energy storage coupled to an ICE engine via a Synchronous PM machine. Because of the high level specification of the weight penalty in competiti ...
The present invention concerns an intermediate of the following formula I in which R 1 and R 2 represent independently of each other a C 1 -C 12 alkyl group, a (C 1 -C 12 alkoxy)carbonyl group, optionally substituted by one, two or three halogen atom, a (C ...
