Similarly, let L p T be the Banach space ofT-periodic functions f such that f |Ω×(0,T) ∈ Lp(Ω× (0,T)), equipped with the norm ‖ f ‖Lp T := ‖ f |Ω×(0,T)‖Lp(Ω×(0,T)). Finally, let CT be the space of continuous and T-periodic functions onΩ×R provided with the L∞-norm. For the whole paper, we fix v,s ∈ (1,∞] such that N/2v + 1/s < 1, s > 2. Let {ai j} and {bj}, 1 ≤ i, j ≤ N , be two families of fun...

The theory of character sheaves on a reductive group is extended to a class of varieties which includes the strata of the De Concini– Procesi completion of an adjoint group. 2000 Math. Subj. Class. 20G99.

We study the long distance correlation structure of intermittency in par-abolic Anderson models. We use the Green's function formulation and the analytical frame work established in W1-4]. Contrary to the case in W1-4], this is the regime of large uctuations. We prove that for a suitable class of probability distributions, the higher moments of the Green's functions do not decay faster than the...

This paper contains a study of the long time behavior of a diffusion process in a periodic potential. The first goal is to determine a suitable rescaling of time and space so that the diffusion process converges to some homogeneous limit. The issue of interest is to characterize the effective evolution equation. The main result is that in some cases large drifts must be removed in order to get ...

During the last years there has been growing interest in vector bundles with additional structures, e.g. parabolic and level structures. This paper results from an attempt to construct quasi-projective moduli spaces for framed bundles, i.e. bundles together with an isomorphism to a fixed bundle on a divisor as introduced in [Do], [L1] and [Lü]. More generally one can ask for bundles with a homo...

We study those finite dimensional quotients of the rational Cherednik algebra at t = 0 that are supported at a point of the centre. It is shown that each such quotient is Morita equivalent to a certain “cuspidal” quotient of a rational Cherednik algebra associated to a parabolic subgroup of W .

We associate a two-sided cell to any (parabolic) character sheaf. We study the interaction between the duality operator for character sheaves and the operation of “twisted induction”.

In this technical note we show that the geometry of generalized parabolic towers cannot be essentially bounded. It fills a gap in [L1].

This work deals with the derivation of a novel transparent boundary condition (TBC) for the coupling of the standard “parabolic” equation (SPE) in underwater acoustics (assuming cylindrical symmetry) with an elastic parabolic equation (EPE) for modelling the sea bottom extending hereby the existing TBCs for a fluid model of the seabed.